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Keywords = quantum decay process

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26 pages, 2220 KB  
Article
Lindbladian Decoherence in Quantum Universal Gates: An Insight Analysis for Digital Noise and Thermalisation
by José Carlos Rebón and Francisco Delgado
Entropy 2025, 27(11), 1089; https://doi.org/10.3390/e27111089 - 22 Oct 2025
Viewed by 1191
Abstract
Quantum computing is an emergent field promising the improvement of processing speed in key algorithms by reducing their exponential scaling to polynomial, thus enabling solutions to problems that exceed classical computational capabilities. Gate-based quantum computing is the most common approach but still faces [...] Read more.
Quantum computing is an emergent field promising the improvement of processing speed in key algorithms by reducing their exponential scaling to polynomial, thus enabling solutions to problems that exceed classical computational capabilities. Gate-based quantum computing is the most common approach but still faces high levels of noise and decoherence. Gates play the role of probability mixers codifying information settled in quantum systems. However, they are deviated from their programmed behaviour due to those decoherent effects as a hidden source modifies the desired probability flux. Their quantification of such unavoidable behaviours becomes crucial for quantum error correction or mitigation. This work presents an approach to decoherence in quantum circuits using the Lindblad master equation to model the impact of noise and thermalisation underlying the ideal programmed behaviour expected for processing gates. The Lindblad approach then provides a comprehensive tool to model both probability fluxes being present in the process, thus regarding the gate and the environment. It analyses the deviation of resulting noisy states from the ideal unitary evolution of some gates considered as universal, setting some operating regimes. Thermalisation considers a radiation bath where gates are immersed as a feasible model of decoherence. Numerical simulations track the information loss as a function of the decay rate magnitude. It also exhibits the minimal impact on decoherence coming from particular quantum states being processed, but a higher impact on the number of qubits being processed by the gate. The methodology provides a unified framework to characterise the processing probability transport in quantum gates, including noise or thermalisation effects. Full article
(This article belongs to the Special Issue Probability Theory and Quantum Information)
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19 pages, 2322 KB  
Article
Dose-Dependent Effects of Boron on Photosynthetic and Oxidative Processes in Young Sugar Beet (Beta vulgaris L.) Plants
by Ferenc Csima, Richárd Hoffmann, Gabriella Kazinczi and Ildikó Jócsák
Stresses 2025, 5(4), 61; https://doi.org/10.3390/stresses5040061 - 16 Oct 2025
Cited by 1 | Viewed by 1026
Abstract
Sugar beet (Beta vulgaris L.) is very sensitive to fluctuations in micronutrient availability, and either an excess or a shortage of boron (B) may reduce the plant’s development and its ability to withstand stress. B is essential for photosynthesis and cell wall [...] Read more.
Sugar beet (Beta vulgaris L.) is very sensitive to fluctuations in micronutrient availability, and either an excess or a shortage of boron (B) may reduce the plant’s development and its ability to withstand stress. B is essential for photosynthesis and cell wall integrity, but the physiological requirements for an optimal supply during early development remain unclear. The photosynthetic efficiency and oxidative stress reactions of sugar beet seedlings were tested under five different B concentrations: 0, 50, 500, 1000, and 2000 µM H3BO3. Integrating non-invasive methods like SPAD, delayed fluorescence (DF), and maximum quantum efficiency of PSII (Fv/Fm) with red–green–blue (RGB) imaging enabled the detailed processing of both the initial and decay phases of DF. According to the results, SPAD and Fv/Fm were not sensitive indicators of early B stress; however, DF decay slopes and red–green–blue pixel distribution distinguished between optimum (500 µM), inadequate (0 µM), and hazardous (2000 µM) treatments. Moreover, lipid oxidation-related biochemical analyses were used to evaluate the ferric reducing antioxidant capacity (FRAP) and malondialdehyde (MDA) concentration. At the extremes of insufficiency and toxicity, MDA levels demonstrated enhanced lipid peroxidation, while FRAP increased with B concentration. The outcome of the research revealed optimum (500 µM) and toxicity-inducing (2000 µM) concentrations at early stages of sugar beet development. The study highlights that the combined use of DF kinetics and RGB analysis provides valuable, non-invasive markers for the early identification of B-stress, which is also confirmed by biochemical indicators, thereby promoting more efficient micronutrient management in sugar beet cultivation. Full article
(This article belongs to the Collection Feature Papers in Plant and Photoautotrophic Stresses)
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18 pages, 613 KB  
Article
Harnessing Quantum Entanglement and Fidelity in Hydrogen Atoms: Unveiling Dynamics Under Dephasing Noise
by Kamal Berrada and Smail Bougouffa
Appl. Sci. 2025, 15(20), 10938; https://doi.org/10.3390/app152010938 - 11 Oct 2025
Cited by 2 | Viewed by 813
Abstract
We investigate the quantum dynamics of entanglement and fidelity in the hyperfine structure of hydrogen atoms under dephasing noise, modeled via the Lindblad master equation. The effective Hamiltonian captures the spin–spin interaction between the electron and proton, with dephasing incorporated through local Lindblad [...] Read more.
We investigate the quantum dynamics of entanglement and fidelity in the hyperfine structure of hydrogen atoms under dephasing noise, modeled via the Lindblad master equation. The effective Hamiltonian captures the spin–spin interaction between the electron and proton, with dephasing incorporated through local Lindblad operators. Analytical solutions for the time-dependent density matrix are derived for various initial states, including separable, partially entangled, and maximally entangled configurations. Entanglement is quantified using the concurrence, while fidelity measures the similarity between the evolving state and the initial state. Numerical results demonstrate that entanglement exhibits oscillatory decay modulated by the dephasing rate, with anti-parallel spin states displaying greater robustness compared to parallel configurations, often leading to entanglement sudden death. Fidelity dynamics reveal similar damped oscillations, underscoring the interplay between coherent hyperfine evolution and environmental dephasing. These insights elucidate strategies for preserving quantum correlations in atomic systems, with implications for quantum information processing and metrology. Full article
(This article belongs to the Special Issue Quantum Communication and Quantum Information)
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25 pages, 2158 KB  
Article
Parametric Resonance via Neuronal Microtubules: Filtering Optical Signals by Tryptophan Qubits
by Akihiro Nishiyama, Shigenori Tanaka and Jack Adam Tuszynski
Quantum Rep. 2025, 7(3), 43; https://doi.org/10.3390/quantum7030043 - 17 Sep 2025
Cited by 2 | Viewed by 3034
Abstract
This paper aims to address the possibility of parametric resonance effects in microtubules via tryptophan qubits, using the Hamiltonian of the cavity quantum electrodynamics (QED) model involving photons in a waveguide and the surrounding environment. The time evolution equations for qubits and photons [...] Read more.
This paper aims to address the possibility of parametric resonance effects in microtubules via tryptophan qubits, using the Hamiltonian of the cavity quantum electrodynamics (QED) model involving photons in a waveguide and the surrounding environment. The time evolution equations for qubits and photons are derived using the input–output formulation. Input signals with a 560 nm wavelength are amplified by Rabi oscillations for tryptophan qubits in excited states. Here, the qubits organized in multiple layers are all in excited states. When an appropriate decay to the environment occurs as internal loss, which is prepared in multiple layers, we find binary patterns of the parametric amplification of input signals and the reduction of output signals. This property might help us to understand the information processing of optical signals by filtering them with the use of tryptophan residues in microtubules and diffused nonlocal processing spreading over the whole brain in the form of holograms. Full article
(This article belongs to the Topic Quantum Systems and Their Applications)
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25 pages, 3394 KB  
Article
The Fate of Secondary Electrons in Water upon High-Energy Electron Impact: Changes in the Presence of Nanobubbles
by Yulia V. Novakovskaya, Nikolai F. Bunkin, Sergey A. Tarasov, Natalia N. Rodionova, Anastasia O. Petrova and German O. Stepanov
Int. J. Mol. Sci. 2025, 26(18), 8909; https://doi.org/10.3390/ijms26188909 - 12 Sep 2025
Cited by 1 | Viewed by 1090 | Correction
Abstract
Electrons localized by water molecules are known as hydrated electrons. The composition of the aqueous environment determines their state and behavior. In this experimental and theoretical work, hydrated electrons were formed in aqueous solutions upon high-energy electron impact, and the dependence of their [...] Read more.
Electrons localized by water molecules are known as hydrated electrons. The composition of the aqueous environment determines their state and behavior. In this experimental and theoretical work, hydrated electrons were formed in aqueous solutions upon high-energy electron impact, and the dependence of their characteristics on the presence of nanobubbles generated during vibrational treatment was investigated. To explain the results, quantum chemical simulations were carried out, and diverse possible kinetic schemes were considered. Absorbance of deionized water and NaCl aqueous solution was measured at a wavelength of 600 nm, which falls in the range typical of hydrated electrons. The principal differences in the spectral responses of the samples were discovered depending on whether they were preliminarily subjected to repeated vigorous shaking or not. Vigorous shaking caused a noticeable increase in both the integral and maximum absorbance, and the absorbance decay was significantly slower. The effects observed in the vibrationally treated aqueous samples were found to be explained only in the framework of a kinetic scheme that assumes the repeated solvation of electrons, which are transferred from a localized to a delocalized (free) state upon the energy absorption. This repeated solvation is possible only when the secondary electrons are localized on the inner surfaces of the boundary hydration shells of nanobubbles, which are formed in the process of shaking. Thus, nanobubbles substantially change the apparent gross lifetime and properties of hydrated electrons, and these changes, in turn, can indicate the presence of nanobubbles in water and aqueous solutions. Full article
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17 pages, 4347 KB  
Article
Carbon Quantum Dot-Embedded SiO2: PMMA Hybrid as a Blue-Emitting Plastic Scintillator for Cosmic Ray Detection
by Lorena Cruz León, Martin Rodolfo Palomino Merino, José Eduardo Espinosa Rosales, Samuel Tehuacanero Cuapa, Benito de Celis Alonso, Oscar Mario Martínez Bravo, Oliver Isac Ruiz-Hernandez, José Gerardo Suárez García, Miller Toledo-Solano and Jesús Eduardo Lugo Arce
Photonics 2025, 12(9), 854; https://doi.org/10.3390/photonics12090854 - 26 Aug 2025
Cited by 1 | Viewed by 1677
Abstract
This work reports the synthesis and characterization of Carbon Quantum Dots (CQDs) embedded in an organic–inorganic hybrid SiO2: PMMA matrix, designed as a novel plastic scintillator material. The CQDs were synthesized through a solvo-hydrothermal method and incorporated using a sol–gel polymerization [...] Read more.
This work reports the synthesis and characterization of Carbon Quantum Dots (CQDs) embedded in an organic–inorganic hybrid SiO2: PMMA matrix, designed as a novel plastic scintillator material. The CQDs were synthesized through a solvo-hydrothermal method and incorporated using a sol–gel polymerization process, resulting in a mechanically durable and optically active hybrid. Structural analysis with X-ray diffraction and TEM confirmed crystalline quantum dots approximately 10 nm in size. Extensive optical characterization, including band gap measurement, photoluminescence under 325 nm UV excitation, lifetime evaluations, and quantum yield measurement, revealed a blue emission centered at 426 nm with a decay time of 3–3.6 ns. The hybrid scintillator was integrated into a compact cosmic ray detector using a photomultiplier tube optimized for 420 nm detection. The system effectively detected secondary atmospheric muons produced by low-energy cosmic rays, validated through the vertical equivalent muon (VEM) technique. These findings highlight the potential of CQD-based hybrid materials for advanced optical sensing and scintillation applications in complex environments, supporting the development of compact and sensitive detection systems. Full article
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13 pages, 1560 KB  
Article
Short-Time Behavior of a System Ruled by Non-Hermitian Time-Dependent Hamiltonians
by Benedetto Militello and Anna Napoli
Symmetry 2025, 17(8), 1336; https://doi.org/10.3390/sym17081336 - 15 Aug 2025
Viewed by 862
Abstract
The short-time behavior of the survival probability of a system governed by a time-dependent non-Hermitian Hamiltonian is derived using to the second-order perturbative approach. The resulting expression allows for the analysis of some situations which could be of interest in the field of [...] Read more.
The short-time behavior of the survival probability of a system governed by a time-dependent non-Hermitian Hamiltonian is derived using to the second-order perturbative approach. The resulting expression allows for the analysis of some situations which could be of interest in the field of quantum technology. For example, it becomes possible to predict a quantum Zeno effect even in the presence of decay processes. Full article
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10 pages, 1346 KB  
Article
Scintillation Properties of CsPbBr3 Quantum Dot Film-Enhanced Ga:ZnO Wafer and Its Applications
by Shiyi He, Silong Zhang, Liang Chen, Yang Li, Fangbao Wang, Nan Zhang, Naizhe Zhao and Xiaoping Ouyang
Materials 2025, 18(15), 3691; https://doi.org/10.3390/ma18153691 - 6 Aug 2025
Viewed by 1016
Abstract
In high energy density physics, the demand for precise detection of nanosecond-level fast physical processes is high. Ga:ZnO (GZO), GaN, and other fast scintillators are widely used in pulsed signal detection. However, many of them, especially wide-bandgap materials, still face issues of low [...] Read more.
In high energy density physics, the demand for precise detection of nanosecond-level fast physical processes is high. Ga:ZnO (GZO), GaN, and other fast scintillators are widely used in pulsed signal detection. However, many of them, especially wide-bandgap materials, still face issues of low luminous intensity and significant self-absorption. Therefore, an enhanced method was proposed to tune the wavelength of materials via coating perovskite quantum dot (QD) films. Three-layer samples based on GZO were primarily investigated and characterized. Radioluminescence (RL) spectra from each face of the samples, as well as their decay times, were obtained. Lower temperatures further enhanced the luminous intensity of the samples. Its overall luminous intensity increased by 2.7 times at 60 K compared to room temperature. The changes in the RL processes caused by perovskite QD and low temperatures were discussed using the light tuning and transporting model. In addition, an experiment under a pico-second electron beam was conducted to verify their pulse response and decay time. Accordingly, the samples were successfully applied in beam state monitoring of nanosecond pulsed proton beams, which indicates that GZO wafer coating with perovskite QD films has broad application prospects in pulsed radiation detection. Full article
(This article belongs to the Section Quantum Materials)
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13 pages, 903 KB  
Article
Direct and Indirect Coupling Entanglements in an Optomechanical Cavity Coupled to a Rydberg Superatom
by Dong Yan, Feifan Ren, Lei Huang, Yilongyue Guo, Jing Wang, Kaihui Gu and Hanxiao Zhang
Photonics 2025, 12(5), 472; https://doi.org/10.3390/photonics12050472 - 12 May 2025
Viewed by 969
Abstract
We investigate steady-state entanglement in a hybrid optomechanical cavity coupled to a Rydberg atomic ensemble confined within a single blockade region. The ensemble behaves as one superatom due to the rigid dipole blockade effect. Through optomechanical coupling, three types of bipartite entanglement emerge [...] Read more.
We investigate steady-state entanglement in a hybrid optomechanical cavity coupled to a Rydberg atomic ensemble confined within a single blockade region. The ensemble behaves as one superatom due to the rigid dipole blockade effect. Through optomechanical coupling, three types of bipartite entanglement emerge among the cavity, the Rydberg superatom, and the movable mirror. As the principal quantum number of the Rydberg atoms increases (leading to reduced atomic decay rates), the direct cavity–mirror coupling entanglement is redistributed into direct cavity–superatom coupling entanglement and indirect superatom–mirror coupling entanglement. Counterintuitively, this redistribution culminates in the complete suppression of two direct coupling entanglements, leaving only the indirect coupling entanglement persistent under resonant Stokes sideband conditions. Systematic parameter tuning reveals entanglement transfer pathways and establishes the preference of the superatom–mirror entanglement for specific principal quantum numbers. Furthermore, we demonstrate the thermal robustness of the surviving entanglement up to experimentally accessible temperatures. These findings advance the understanding of quantum entanglement in hybrid quantum systems and suggest applications in quantum information processing. Full article
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16 pages, 2568 KB  
Article
Nonadiabatic Surface Hopping Dynamics of Photocatalytic Water Splitting Process with Heptazine–(H2O)4 Chromophore
by Xiaojuan Pang, Chenghao Yang, Ningbo Zhang and Chenwei Jiang
Int. J. Mol. Sci. 2025, 26(10), 4549; https://doi.org/10.3390/ijms26104549 - 9 May 2025
Viewed by 927
Abstract
Recent research on the use of heptazine-based polymeric carbon nitride materials as potential photocatalysts for hydrogen evolution has made significant progress. However, the impact of the water cluster’s size on the time-dependent photochemical mechanisms during the water splitting process of heptazine–water clusters remains [...] Read more.
Recent research on the use of heptazine-based polymeric carbon nitride materials as potential photocatalysts for hydrogen evolution has made significant progress. However, the impact of the water cluster’s size on the time-dependent photochemical mechanisms during the water splitting process of heptazine–water clusters remains largely unexplored. Here, we present a Landau–Zener trajectory surface hopping dynamics calculation for heptazine–(H2O)4 clusters at the ADC(2) level. The electron-driven proton transfer (EDPT) mechanism reaction from water to hydrogen-bonded heptazine–water clusters was confirmed using this method, yielding a heptazinyl radical and an OH biradical as products. The calculated quantum yield of the EDPT for the heptazine–(H2O)4 complex was 6.5%, which was slightly lower than that of the heptazine–H2O complex (9%), suggesting that increasing the water cluster size does not significantly enhance the efficiency of hydrogen transfer. Interestingly, our results show that the de-excitation of the heptazine–water complex from the excited state to the ground state via the EDPT process follows both fast and slow decay modes, which govern population relaxation and facilitate the photochemical water splitting reaction. This newly identified differential decay behavior offers valuable insights that could help deepen our understanding of the EDPT process, potentially improving the efficiency of water splitting under sunlight. Full article
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13 pages, 3677 KB  
Article
Collective Spontaneous Emission Modulated by Strong Coupling in Hyperbolic Metamaterials
by Xiangting Wang, Mengcheng Guan, Tongbiao Wang, Tianbao Yu and Qinghua Liao
Photonics 2025, 12(3), 260; https://doi.org/10.3390/photonics12030260 - 13 Mar 2025
Viewed by 1299
Abstract
We study the collective spontaneous emission of two quantum emitters (QEs) placed near a semiconductor hyperbolic metamaterial (HMM) composed of a multilayer quantum well (MQW) and doped n+-In0.53Ga0.47As. The spontaneous emissions of two identical QEs in reflection [...] Read more.
We study the collective spontaneous emission of two quantum emitters (QEs) placed near a semiconductor hyperbolic metamaterial (HMM) composed of a multilayer quantum well (MQW) and doped n+-In0.53Ga0.47As. The spontaneous emissions of two identical QEs in reflection and transmission configurations are both investigated in detail. It is found that the collective spontaneous emission is strongly dependent on whether there is strong coupling in the HMM or not. In the reflection configuration, the spontaneous emission changes more intensively with the transition wavelength of QEs when strong coupling is present compared to the situation without strong coupling. In the transmission configuration, the maximum spontaneous emission decay rate of two QEs can be obtained near the HMM for the given transition wavelength. In addition, the thickness of the HMM also has an important effect on the collective spontaneous emission in the transmission configuration. The results in this work have potential applications in the field of light-emitting devices, lasers, and quantum information processing. Full article
(This article belongs to the Special Issue Micro/Nano Optical Technology and Its Applications)
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19 pages, 3997 KB  
Article
The Triplet–Triplet Annihilation Efficiency of Some 9,10-Substituted Diphenyl Anthracene Variants—A Decisive Analysis from Kinetic Rate Constants
by Mikael Lindgren, Victoria M. Bjelland, Thor-Bernt Melø, Callum McCracken, Satoshi Seo and Harue Nakashima
Optics 2025, 6(1), 8; https://doi.org/10.3390/opt6010008 - 12 Mar 2025
Viewed by 2922
Abstract
Triplet–triplet transfer photochemical reactions are essential in many biological, chemical, and photonic applications. Here, the Pd-octaethylporphyrin sensitizer along with triplet–triplet annihilator (TTA) active 9,10-diphenylantracenes (DPA) and the related substituted variants in low concentrations were examined. A full experimental approach is presented for finding [...] Read more.
Triplet–triplet transfer photochemical reactions are essential in many biological, chemical, and photonic applications. Here, the Pd-octaethylporphyrin sensitizer along with triplet–triplet annihilator (TTA) active 9,10-diphenylantracenes (DPA) and the related substituted variants in low concentrations were examined. A full experimental approach is presented for finding the necessary rate parameters with statistical standard deviation parameters. This was achieved by solving the pertinent non-analytical kinetic differential equation and fitting it to the experimental time-resolved photoluminescence of both slow fluorescence and sensitizer phosphorescence. The efficiency of the triplet–triplet energy transfer rate was found to be around 90% in THF but only around 75% in toluene. This appears to follow from the shorter lifetime of the sensitizer triplet in toluene. Moreover, the TTA transfer rate was on average more than 40% in THF toluene whereas a considerably lower value around 20–30% was found for toluene. This originated in an order of magnitude higher solvent quenching rate using toluene, based on the analysis of the delayed fluorescence decay traces. These are also higher than the statistically expected 1/9 TTA efficiency but in accordance with recent results in the literature, that attributed these high values to an inverse intersystem crossing process. In addition, quantum chemical calculations were carried out to reveal the pertinent excited triplet molecular orbitals of the lowest triplet excited state for a series of substituted DPAs, in comparison with the singlet ground state. Conclusively, these states distribute mainly in an anthracene ring in all compounds being in the range 1.64–1.65 eV above the ground state. The TTA efficiency was found to vary depending on the DPA annihilator substitution scheme and found to be smaller in THF. This is likely because the molecular framework over which the T1 excited molecular orbitals distribute is less sensitive for a longer lifetime of the annihilator triplet state. Full article
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24 pages, 1913 KB  
Article
Waveguide Quantum Electrodynamics: Tryptophans Entangled with Water as Data Qubits in a Microtubule
by Akihiro Nishiyama, Shigenori Tanaka and Jack Adam Tuszynski
Dynamics 2025, 5(1), 7; https://doi.org/10.3390/dynamics5010007 - 1 Mar 2025
Cited by 5 | Viewed by 3613
Abstract
In this paper, we introduce waveguide Quantum Electrodynamics (wQED) for the description of tryptophans in microtubules representing data qubits for information storage and, possibly, information processing. We propose a Hamiltonian in wQED and derive Heisenberg equations for qubits and photons. Using the Heisenberg [...] Read more.
In this paper, we introduce waveguide Quantum Electrodynamics (wQED) for the description of tryptophans in microtubules representing data qubits for information storage and, possibly, information processing. We propose a Hamiltonian in wQED and derive Heisenberg equations for qubits and photons. Using the Heisenberg equations, we derive time-evolution equations for the probability of qubits and the distribution of photons both at zero and finite temperature. We then demonstrate the resultant sub-radiance with small decay rates, which is required to achieve robust data qubits for information storage by coupling tryptophan residues containing data qubits with water molecules as Josephson quantum filters (JQFs). We also describe an oscillation processes of qubits in a tubulin dimer through the propagation of excitations with changing decay rates of JQFs. Data qubits are found to retain initial values by adopting sub-radiant states involving entanglement with water degrees of freedom. Full article
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10 pages, 673 KB  
Article
Optical Nonreciprocity Based on the Four-Wave Mixing Effect in Semiconductor Quantum Dots
by Zelin Lin, Han Yang, Fei Xu, Yihong Qi, Yueping Niu and Shangqing Gong
Nanomaterials 2025, 15(5), 380; https://doi.org/10.3390/nano15050380 - 1 Mar 2025
Cited by 2 | Viewed by 1206
Abstract
Optical nonreciprocity and nonreciprocal devices such as optical diodes have broad and promising applications in various fields, ranging from optical communication to signal process. Here, we propose a magnet-free nonreciprocal scheme based on the four-wave mixing (FWM) effect in semiconductor quantum dots (SQDs). [...] Read more.
Optical nonreciprocity and nonreciprocal devices such as optical diodes have broad and promising applications in various fields, ranging from optical communication to signal process. Here, we propose a magnet-free nonreciprocal scheme based on the four-wave mixing (FWM) effect in semiconductor quantum dots (SQDs). Via controlling the directions of the coupling fields, the probe field can achieve high transmission in the forward direction within a certain frequency range due to the FWM effect. And the transmission of the probe field in the backward direction undergoes significant reduction, as the FWM effect is absent. The calculation results show a wide nonreciprocal transmission window with isolation greater than 12 dB and insertion loss lower than 0.08 dB. The influences of the Rabi frequencies of the coupling fields, the medium length, and the decay rates on the nonreciprocal propagation of the probe field are also studied, showing the requirements of these parameters for good nonreciprocal performances. Our work may offer an insight for developing optical nonreciprocal devices based on the FWM process and the SQD system. Full article
(This article belongs to the Special Issue Nanophotonics and Plasmonics)
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9 pages, 437 KB  
Article
Critical Relaxation in the Quantum Yang–Lee Edge Singularity
by Yue-Mei Sun, Xinyu Wang and Liang-Jun Zhai
Entropy 2025, 27(2), 170; https://doi.org/10.3390/e27020170 - 6 Feb 2025
Cited by 1 | Viewed by 1368
Abstract
We study the relaxation dynamics near the critical points of the Yang–Lee edge singularities (YLESs) in the quantum Ising chain in an imaginary longitudinal field with a polarized initial state. We find that scaling behaviors are manifested in the relaxation process after a [...] Read more.
We study the relaxation dynamics near the critical points of the Yang–Lee edge singularities (YLESs) in the quantum Ising chain in an imaginary longitudinal field with a polarized initial state. We find that scaling behaviors are manifested in the relaxation process after a non-universal transient time. We show that for the paramagnetic Hamiltonian, the magnetization oscillates periodically with the period being inversely proportional to the gap between the lowest energy level; for the ferromagnetic Hamiltonian, the magnetization decays to a saturated value; while for the critical Hamiltonian, the magnetization increases linearly. A scaling theory is developed to describe these scaling properties. In this theory, we show that for a small- and medium-sized system, the scaling behavior is described by the (0+1)-dimensional YLES. Full article
(This article belongs to the Special Issue Non-Equilibrium Quantum Many-Body Dynamics)
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