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Keywords = quantum revival

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21 pages, 1969 KiB  
Article
Manipulating Entanglement Dynamics in Dephased Interacting Qubits Using a Radiation Field
by Omar Qisieh, Rahma Abdelmagid and Gehad Sadiek
Entropy 2025, 27(7), 673; https://doi.org/10.3390/e27070673 - 24 Jun 2025
Viewed by 634
Abstract
We study the entanglement dynamics of a pair of non-identical interacting atoms (qubits) coupled off-resonance to a single-mode cavity radiation field and exposed to dephasing environments. The qubits are studied starting from various initial states that are disentangled from an initially coherent field. [...] Read more.
We study the entanglement dynamics of a pair of non-identical interacting atoms (qubits) coupled off-resonance to a single-mode cavity radiation field and exposed to dephasing environments. The qubits are studied starting from various initial states that are disentangled from an initially coherent field. The system models the basic building units of quantum information processing (QIP) platforms under the realistic considerations of asymmetry and external environmental influences. We investigate how introducing a radiation field alters the system’s entanglement dynamics in the presence of dephasing environments, and how it impacts the effects of the dephasing environments themselves. The work examines the problem under various settings of inter-qubit interactions, which are now experimentally controllable in some of the newly engineered artificial qubit systems. We illustrate that only upon introducing the radiation field, the system suffers a terminal disentanglement (followed by no revivals) in a finite time. This behavior is exacerbated when the atoms’ interaction with the field is stronger. Moreover, the effects of the field’s intensity and the atoms’ detunings are vastly sensitive to the choice of the initial state. We also demonstrate that the closer the atoms’ transition frequencies are to resonance with the field, the more pronounced are the effects of strengthening the independent dephasing environments corresponding to some initial states. Those states also suffered a greater reduction in entanglement content when the qubits with stronger atom–field interaction strength were influenced by a stronger independent dephasing environment. In addition, we examined the ability of the correlated dephasing environment to induce a noise-enhanced efficiency in the presence of an external radiation field. We showed that the radiation field could play a decisive role in enabling or restricting noise-enhanced efficiency, but one that is also highly sensitive to the system’s initial state. Full article
(This article belongs to the Section Quantum Information)
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20 pages, 719 KiB  
Article
Entanglement Dynamics of Two Giant Atoms Embedded in a One-Dimensional Photonic Lattice with a Synthetic Gauge Field
by Vassilios Yannopapas
Photonics 2025, 12(6), 612; https://doi.org/10.3390/photonics12060612 - 14 Jun 2025
Viewed by 504
Abstract
We investigate the entanglement dynamics of two giant atoms coupled to a one-dimensional photonic lattice with synthetic chirality. The atoms are connected to multiple lattice sites in a braided configuration and interact with a structured photonic reservoir featuring direction-dependent hopping phases. By tuning [...] Read more.
We investigate the entanglement dynamics of two giant atoms coupled to a one-dimensional photonic lattice with synthetic chirality. The atoms are connected to multiple lattice sites in a braided configuration and interact with a structured photonic reservoir featuring direction-dependent hopping phases. By tuning the atomic detuning and the synthetic gauge phase, we identify distinct dynamical regimes characterized by decoherence-free population exchange, damped oscillations, long-lived revivals, and excitation trapping. Using a combination of time-domain simulations and resolvent-based analysis, we show how interference and band structure effects lead to the emergence of bound states, quasi-bound states, and phase-dependent entanglement dynamics. We compare the initial states with localized and delocalized atomic excitations, demonstrating that pre-existing entanglement can enhance the robustness against decoherence or accelerate its loss, depending on the system parameters. These results highlight the utility of synthetic photonic lattices and nonlocal emitter configurations in tailoring quantum coherence, entanglement, and information flows in structured environments. Full article
(This article belongs to the Special Issue Advanced Research in Quantum Optics)
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15 pages, 298 KiB  
Review
The Tragic Downfall and Peculiar Revival of Quaternions
by Danail Brezov
Mathematics 2025, 13(4), 637; https://doi.org/10.3390/math13040637 - 15 Feb 2025
Viewed by 1061
Abstract
On October 16th 1843, the prominent Irish mathematician Sir William Rowan Hamilton, in an inspired act of vandalism, carved his famous i2=j2=k2=ijk=1 on the Brougham Bridge in Dublin, thus [...] Read more.
On October 16th 1843, the prominent Irish mathematician Sir William Rowan Hamilton, in an inspired act of vandalism, carved his famous i2=j2=k2=ijk=1 on the Brougham Bridge in Dublin, thus starting a major clash of ideas with the potential to change the course of history. Quaternions, as he called his invention, were quite useful in describing Newtonian mechanics, and as it turned out later—also quantum and relativistic phenomena, which were yet to be discovered in the next century. However, the scientific community did not embrace this new approach with enthusiasm: there was a battle to be fought and Hamilton failed to make a compelling case probably because he was standing alone at the time. Although Quaternions were soon to find useful applications in geometry and physics (with the works of Clifford, Cayley, Maxwell, Einstein, Pauli, and Dirac), the battle seemed lost a few decades after Hamilton’s death. But, a century later computer algorithms turned the tides, and nowadays we are witnessing a revived interest in the subject, prompted by technology. Full article
(This article belongs to the Section E2: Control Theory and Mechanics)
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12 pages, 1390 KiB  
Article
Effects of Impurities and Deformations on Electronic Effective Mass in Quantum Revival Time within the Infinite Square Well
by Cleverson Filgueiras, Luiz H. C. Borges and Moises Rojas
Universe 2024, 10(6), 269; https://doi.org/10.3390/universe10060269 - 20 Jun 2024
Cited by 1 | Viewed by 1191
Abstract
Quantum revival phenomena, wherein the wave function of a quantum system periodically returns to its initial state after evolving in time, are investigated in this study. Focusing on electrons confined within a quantum box with an impurity, both weak- and strong-coupling regimes are [...] Read more.
Quantum revival phenomena, wherein the wave function of a quantum system periodically returns to its initial state after evolving in time, are investigated in this study. Focusing on electrons confined within a quantum box with an impurity, both weak- and strong-coupling regimes are explored, revealing intricate relationships between impurity parameters and temporal dynamics. This investigation considers the influence of impurity position, impurity strength, and external factors such as aluminum concentration, temperature and hydrostatic pressure on classical periods and revival times. Through analytical derivations and graphical analyses, this study elucidates the sensitivity of quantum revivals to these parameters, providing valuable insights into the fundamental aspects of quantum mechanics. While no specific physical applications are discussed, the findings offer implications for quantum heat engines and other quantum-based technologies, emphasizing the importance of understanding quantum revivals in confined quantum systems. Full article
(This article belongs to the Section Foundations of Quantum Mechanics and Quantum Gravity)
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5 pages, 251 KiB  
Comment
Comment on Maia, A.V.D.M.; Bakke, K. Topological Effects of a Spiral Dislocation on Quantum Revivals. Universe 2022, 8, 168
by Francisco M. Fernández
Universe 2023, 9(12), 490; https://doi.org/10.3390/universe9120490 - 24 Nov 2023
Viewed by 1284
Abstract
In a series of papers, Maia and Bakke [...] Full article
(This article belongs to the Section Foundations of Quantum Mechanics and Quantum Gravity)
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18 pages, 2517 KiB  
Article
Reduced GSH Acts as a Metabolic Cue of OPDA Signaling in Coregulating Photosynthesis and Defense Activation under Stress
by Ashna Adhikari and Sang-Wook Park
Plants 2023, 12(21), 3745; https://doi.org/10.3390/plants12213745 - 1 Nov 2023
Cited by 5 | Viewed by 1991
Abstract
12-oxo-phytodienoic acid (OPDA) is a primary precursor of jasmonates, able to trigger autonomous signaling cascades that activate and fine-tune plant defense responses, as well as growth and development. However, its mechanism of actions remains largely elusive. Here we describe a dual-function messenger of [...] Read more.
12-oxo-phytodienoic acid (OPDA) is a primary precursor of jasmonates, able to trigger autonomous signaling cascades that activate and fine-tune plant defense responses, as well as growth and development. However, its mechanism of actions remains largely elusive. Here we describe a dual-function messenger of OPDA signaling, reduced glutathione (GSH), that cross-regulates photosynthesis machinery and stress protection/adaptation in concert, optimizing plant plasticity and survival potential. Under stress conditions, the rapid induction of OPDA production stimulates GSH accumulation in the chloroplasts, and in turn leads to protein S-glutathionylation in modulating the structure and function of redox-sensitive enzymes such as 2-cysteine (Cys) peroxiredoxin A (2CPA), a recycler in the water–water cycle. GSH exchanges thiol-disulfides with the resolving CysR175, while donating an electron (e, H+) to the peroxidatic CysP53, of 2CPA, which revives its reductase activity and fosters peroxide detoxification in photosynthesis. The electron flow protects photosynthetic processes (decreased total non-photochemical quenching, NPQ(T)) and maintains its efficiency (increased photosystem II quantum yield, ΦII). On the other hand, GSH also prompts retrograde signaling from the chloroplasts to the nucleus in adjusting OPDA-responsive gene expressions such as Glutathione S-Transferase 6 (GST6) and GST8, and actuating defense responses against various ecological constraints such as salinity, excess oxidants and light, as well as mechanical wounding. We thus propose that OPDA regulates a unique metabolic switch that interfaces light and defense signaling, where it links cellular and environmental cues to a multitude of plant physiological, e.g., growth, development, recovery, and acclimation, processes. Full article
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17 pages, 5395 KiB  
Article
Electric Field Effects on Curved Graphene Quantum Dots
by Sergio de-la-Huerta-Sainz, Angel Ballesteros and Nicolás A. Cordero
Micromachines 2023, 14(11), 2035; https://doi.org/10.3390/mi14112035 - 31 Oct 2023
Cited by 4 | Viewed by 2016
Abstract
The recent and continuous research on graphene-based systems has opened their usage to a wide range of applications due to their exotic properties. In this paper, we have studied the effects of an electric field on curved graphene nanoflakes, employing the Density Functional [...] Read more.
The recent and continuous research on graphene-based systems has opened their usage to a wide range of applications due to their exotic properties. In this paper, we have studied the effects of an electric field on curved graphene nanoflakes, employing the Density Functional Theory. Both mechanical and electronic analyses of the system have been made through its curvature energy, dipolar moment, and quantum regeneration times, with the intensity and direction of a perpendicular electric field and flake curvature as parameters. A stabilisation of non-planar geometries has been observed, as well as opposite behaviours for both classical and revival times with respect to the direction of the external field. Our results show that it is possible to modify regeneration times using curvature and electric fields at the same time. This fine control in regeneration times could allow for the study of new phenomena on graphene. Full article
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10 pages, 310 KiB  
Communication
Point Charge Subject to an Attractive Inverse-Square-Type Potential and Anharmonic-Type Potentials
by Jardel de Carvalho Veloso and Knut Bakke
Universe 2023, 9(3), 151; https://doi.org/10.3390/universe9030151 - 15 Mar 2023
Cited by 5 | Viewed by 2469
Abstract
By applying the WKB (Wentzel, Kramers, Brillouin) approximation, we search for bound state solutions to the time-independent Schrödinger equation for an attractive inverse-square potential and anharmonic oscillators that stem from the interaction of a point charge with radial electric fields. We focus on [...] Read more.
By applying the WKB (Wentzel, Kramers, Brillouin) approximation, we search for bound state solutions to the time-independent Schrödinger equation for an attractive inverse-square potential and anharmonic oscillators that stem from the interaction of a point charge with radial electric fields. We focus on the bound states associated with the s-waves. Further, we obtain the revival time associated with each case studied. Full article
(This article belongs to the Section Foundations of Quantum Mechanics and Quantum Gravity)
15 pages, 6837 KiB  
Article
Gaussian Curvature Effects on Graphene Quantum Dots
by Sergio de-la-Huerta-Sainz, Angel Ballesteros and Nicolás A. Cordero
Nanomaterials 2023, 13(1), 95; https://doi.org/10.3390/nano13010095 - 25 Dec 2022
Cited by 9 | Viewed by 2759
Abstract
In the last few years, much attention has been paid to the exotic properties that graphene nanostructures exhibit, especially those emerging upon deforming the material. Here we present a study of the mechanical and electronic properties of bent hexagonal graphene quantum dots employing [...] Read more.
In the last few years, much attention has been paid to the exotic properties that graphene nanostructures exhibit, especially those emerging upon deforming the material. Here we present a study of the mechanical and electronic properties of bent hexagonal graphene quantum dots employing density functional theory. We explore three different kinds of surfaces with Gaussian curvature exhibiting different shapes—spherical, cylindrical, and one-sheet hyperboloid—used to bend the material, and several boundary conditions regarding what atoms are forced to lay on the chosen surface. In each case, we study the curvature energy and two quantum regeneration times (classic and revival) for different values of the curvature radius. A strong correlation between Gaussian curvature and these regeneration times is found, and a special divergence is observed for the revival time for the hyperboloid case, probably related to the pseudo-magnetic field generated by this curvature being capable of causing a phase transition. Full article
(This article belongs to the Section 2D and Carbon Nanomaterials)
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9 pages, 6246 KiB  
Article
Scalar Particles around a Rindler–Schwarzschild Wormhole
by C. R. Muniz, H. R. Christiansen, M. S. Cunha, J. Furtado and V. B. Bezerra
Universe 2022, 8(12), 616; https://doi.org/10.3390/universe8120616 - 24 Nov 2022
Cited by 3 | Viewed by 3055
Abstract
In this paper, we study quantum relativistic features of a scalar field around the Rindler–Schwarzschild wormhole. First, we introduce this new class of spacetime, investigating some energy conditions and verifying their violation in a region nearby the wormhole throat, which means that the [...] Read more.
In this paper, we study quantum relativistic features of a scalar field around the Rindler–Schwarzschild wormhole. First, we introduce this new class of spacetime, investigating some energy conditions and verifying their violation in a region nearby the wormhole throat, which means that the object must have an exotic energy in order to prevent its collapse. Then, we study the behavior of the massless scalar field in this spacetime and compute the effective potential by means of tortoise coordinates. We show that such a potential is attractive close to the throat and that it is traversable via quantum tunneling by massive particles with sufficiently low energies. The solution of the Klein–Gordon equation is obtained subsequently, showing that the energy spectrum of the field is subject to a constraint, which induces a decreasing oscillatory behavior. By imposing Dirichlet boundary conditions on a spherical shell in the neighborhood of the throat we can determine the particle energy levels, and we use this spectrum to calculate the quantum revival of the eigenstates. Finally, we compute the Casimir energy associated with the massless scalar field at zero temperature. We perform this calculation by means of the sum of the modes method. The zero-point energy is regularized using the Epstein–Hurwitz zeta-function. We also obtain an analytical expression for the Casimir force acting on the shell. Full article
(This article belongs to the Section High Energy Nuclear and Particle Physics)
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19 pages, 5698 KiB  
Article
Decoherence Effects in a Three-Level System under Gaussian Process
by Sultan M. Zangi, Atta ur Rahman, Zhao-Xo Ji, Hazrat Ali and Huan-Guo Zhang
Symmetry 2022, 14(12), 2480; https://doi.org/10.3390/sym14122480 - 23 Nov 2022
Cited by 8 | Viewed by 2323
Abstract
When subjected to a classical fluctuating field characterized by a Gaussian process, we examine the purity and coherence protection in a three-level quantum system. This symmetry of the three-level system is examined when the local random field is investigated further in the noiseless [...] Read more.
When subjected to a classical fluctuating field characterized by a Gaussian process, we examine the purity and coherence protection in a three-level quantum system. This symmetry of the three-level system is examined when the local random field is investigated further in the noiseless and noisy regimes. In particular, we consider fractional Gaussian, Gaussian, Ornstein–Uhlenbeck, and power law noisy regimes. We show that the destructive nature of the Ornstein–Uhlenbeck noise toward the symmetry of the qutrit to preserve encoded purity and coherence remains large. Our findings suggest that properly adjusting the noisy parameters to specifically provided values can facilitate optimal extended purity and coherence survival. Non-vanishing terms appear in the final density matrix of the single qutrit system, indicating that it is in a strong coherence regime. Because of all of the Gaussian noises, monotonic decay with no revivals has been observed in the single qutrit system. In terms of coherence and information preservation, we find that the current qutrit system outperforms systems with multiple qubits or qutrits using purity and von Neumann entropy. A comparison of noisy and noiseless situations shows that the fluctuating nature of the local random fields is ultimately lost when influenced using the classical Gaussian noises. Full article
(This article belongs to the Special Issue Advances in Quantum Information)
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23 pages, 1358 KiB  
Article
Disentanglement Dynamics in Nonequilibrium Environments
by Mingli Chen, Haonan Chen, Tao Han and Xiangji Cai
Entropy 2022, 24(10), 1330; https://doi.org/10.3390/e24101330 - 21 Sep 2022
Cited by 9 | Viewed by 2017
Abstract
We theoretically study the non-Markovian disentanglement dynamics of a two-qubit system coupled to nonequilibrium environments with nonstationary and non-Markovian random telegraph noise statistical properties. The reduced density matrix of the two-qubit system can be expressed as the Kraus representation in terms of the [...] Read more.
We theoretically study the non-Markovian disentanglement dynamics of a two-qubit system coupled to nonequilibrium environments with nonstationary and non-Markovian random telegraph noise statistical properties. The reduced density matrix of the two-qubit system can be expressed as the Kraus representation in terms of the tensor products of the single qubit Kraus operators. We derive the relation between the entanglement and nonlocality of the two-qubit system which are both closely associated with the decoherence function. We identify the threshold values of the decoherence function to ensure the existences of the concurrence and nonlocal quantum correlations for an arbitrary evolution time when the two-qubit system is initially prepared in the composite Bell states and the Werner states, respectively. It is shown that the environmental nonequilibrium feature can suppress the disentanglement dynamics and reduce the entanglement revivals in non-Markovian dynamics regime. In addition, the environmental nonequilibrium feature can enhance the nonlocality of the two-qubit system. Moreover, the entanglement sudden death and rebirth phenomena and the transition between quantum and classical nonlocalities closely depend on the parameters of the initial states and the environmental parameters in nonequilibrium environments. Full article
(This article belongs to the Special Issue Quantum Information Concepts in Open Quantum Systems)
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13 pages, 2071 KiB  
Article
Prisoners’ Dilemma in a Spatially Separated System Based on Spin–Photon Interactions
by Azmi Ali Altintas, Fatih Ozaydin, Cihan Bayindir and Veysel Bayrakci
Photonics 2022, 9(9), 617; https://doi.org/10.3390/photonics9090617 - 30 Aug 2022
Cited by 9 | Viewed by 2218
Abstract
Having access to ideal quantum mechanical resources, the prisoners’ dilemma can be ceased. Here, we propose a distributed quantum circuit to allow spatially separated prisoners to play the prisoners’ dilemma game. Decomposing the circuit into controlled-Z and single-qubit gates only, we design a [...] Read more.
Having access to ideal quantum mechanical resources, the prisoners’ dilemma can be ceased. Here, we propose a distributed quantum circuit to allow spatially separated prisoners to play the prisoners’ dilemma game. Decomposing the circuit into controlled-Z and single-qubit gates only, we design a corresponding spin–photon-interaction-based physical setup within the reach of current technology. In our setup, spins are considered to be the players’ logical qubits, which can be realized via nitrogen-vacancy centers in diamond or quantum dots coupled to optical cavities, and the game is played via a flying photon realizing logic operations by interacting with the spatially separated optical cavities to which the spin qubits are coupled. We also analyze the effect of the imperfect realization of two-qubit gates on the game, and discuss the revival of the dilemma and the emergence of new Nash equilibria. Full article
(This article belongs to the Special Issue Quantum Optics: Entanglement and Coherence in Photonic Systems)
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12 pages, 753 KiB  
Article
Quantum Teleportation and Dense Coding in Multiple Bosonic Reservoirs
by Yu Wang and Ming-Liang Hu
Entropy 2022, 24(8), 1114; https://doi.org/10.3390/e24081114 - 12 Aug 2022
Cited by 5 | Viewed by 2015
Abstract
The effect of a reservoir on quantum communication depends on its spectral density. The efficiency of quantum teleportation and dense coding is explored when each one of the channel qubits is coupled simultaneously to multiple bosonic reservoirs. It is shown that the non-Markovianity [...] Read more.
The effect of a reservoir on quantum communication depends on its spectral density. The efficiency of quantum teleportation and dense coding is explored when each one of the channel qubits is coupled simultaneously to multiple bosonic reservoirs. It is shown that the non-Markovianity triggered by increasing the reservoir number can induce revivals of quantum advantages of the two protocols after their disappearance. However, the backflow of information to the system that signifies non-Markovianity does not always induce immediate revivals of the quantum advantages. There may be a delayed effect for some initial states, and only as the backflow of information accumulates to a certain extent can the revivals of quantum advantages be triggered. Full article
(This article belongs to the Special Issue Quantum Computing for Complex Dynamics)
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14 pages, 3550 KiB  
Article
Generating Sustained Coherence in a Quantum Memory for Retrieval at Times of Quantum Revival
by Tavshabad Kaur, Maninder Kaur, Arvind and Bindiya Arora
Atoms 2022, 10(3), 81; https://doi.org/10.3390/atoms10030081 - 10 Aug 2022
Cited by 3 | Viewed by 2443
Abstract
We study the time degradation of quantum information stored in a quantum memory device under a dissipative environment in a parameter range which is experimentally relevant. The quantum memory under consideration is comprised of an optomechanical system with additional Kerr nonlinearity in the [...] Read more.
We study the time degradation of quantum information stored in a quantum memory device under a dissipative environment in a parameter range which is experimentally relevant. The quantum memory under consideration is comprised of an optomechanical system with additional Kerr nonlinearity in the optical mode and an anharmonic mechanical oscillator with quadratic nonlinearity. Time degradation is monitored, both in terms of loss of coherence, which is analyzed with the help of Wigner functions, as well as in terms of loss of amplitude of the original state, studied as a function of time. While our time trajectories explore the degree to which the stored information degrades depending upon the variation in values of various parameters involved, we suggest a set of parameters for which the original information can be retrieved without degradation. We identify a very interesting situation where the role played by the nonlinearity is insignificant, and the system behaves as if the information is stored in a linear medium. For this case, the information retrieval is independent of the coherence revival time and can be retrieved at any instant during the time evolution. Full article
(This article belongs to the Section Atom Based Quantum Technology)
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