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Open Quantum Systems

A special issue of Entropy (ISSN 1099-4300). This special issue belongs to the section "Quantum Information".

Deadline for manuscript submissions: closed (30 September 2021) | Viewed by 10071

Special Issue Editors


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Guest Editor
Instituto de Ciencia de Materiales de Aragón and Departamento de Física de la Materia Condensada, CSIC-Universidad de Zaragoza, E-50009 Zaragoza, Spain
Interests: quantum open systems; quantum electromagnetism; quantum technologies

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Guest Editor
Department of Physics and Materials Science, University of Luxembourg, L-1511 Luxembourg, Luxembourg
Interests: quantum dynamics; open quantum systems; quantum optics; quantum biology; quantum chaos

Special Issue Information

Considering the evolution of systems as unitary is an idealization of reality. In many cases, the system under scrutiny is affected by inevitable interactions with its surroundings. The latter consists of uncontrollable degrees of freedom and is called the environment or bath. How the system evolves under the influence of its environment is studied in the field of open quantum systems and is the subject of this Special Issue. As the physical setups are generic, the field of open quantum systems finds many applications. Matching with the diversity of systems, this Special Issue has a broad scope. Our goal is to cover current trends in the field and their applications in many branches of physics and technology. The issue will gather a number of invited mini-review and we welcome contributions on topics such as the following: 

  • Strongly correlated systems in open systems
  • Non-Markovian quantum open systems
  • Dissipation and decoherence in quantum technologies
  • Open quantum systems beyond master equations
  • Driven quantum open systems
  • Open quantum systems in physical chemistry
  • Foundations

Prof. David Zueco
Dr. Aurelia Chenu
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Entropy is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • open quantum systems
  • quantum technologies
  • quantum many-body
  • non-Markovian
  • master equation

Published Papers (5 papers)

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Research

19 pages, 986 KiB  
Article
Quantum Information Scrambling in Non-Markovian Open Quantum System
by Li-Ping Han, Jian Zou, Hai Li and Bin Shao
Entropy 2022, 24(11), 1532; https://doi.org/10.3390/e24111532 - 26 Oct 2022
Cited by 5 | Viewed by 1483
Abstract
In this paper, we investigate the dynamics of a spin chain whose two end spins interact with two independent non-Markovian baths by using the non-Markovian quantum state diffusion (QSD) equation approach. Specifically, two issues about information scrambling in an open quantum system are [...] Read more.
In this paper, we investigate the dynamics of a spin chain whose two end spins interact with two independent non-Markovian baths by using the non-Markovian quantum state diffusion (QSD) equation approach. Specifically, two issues about information scrambling in an open quantum system are addressed. The first issue is that tripartite mutual information (TMI) can quantify information scrambling properly via its negative value in a closed system, whether it is still suitable to indicate information scrambling in an open quantum system. We find that negative TMI is not a suitable quantifier of information scrambling in an open quantum system in some cases, while negative tripartite logarithmic negativity (TLN) is an appropriate one. The second one is that up to now almost all information scrambling in open quantum systems reported were focus on a Markovian environment, while the effect of a non-Markovian environment on information scrambling is still elusive. Our results show that the memory effect of an environment will be beneficial to information scrambling. Moreover, it is found that the environment is generally detrimental for information scrambling in the long-term, while in some cases it will be helpful for information scrambling in the short-term. Full article
(This article belongs to the Special Issue Open Quantum Systems)
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17 pages, 1567 KiB  
Article
Momentum-Space Decoherence of Distinguishable and Identical Particles in the Caldeira–Leggett Formalism
by Z. Khani, S. V. Mousavi and S. Miret-Artés
Entropy 2021, 23(11), 1469; https://doi.org/10.3390/e23111469 - 7 Nov 2021
Cited by 1 | Viewed by 1300
Abstract
In this work, momentum-space decoherence using minimum and nonminimum-uncertainty-product (stretched) Gaussian wave packets in the framework of Caldeira–Leggett formalism and under the presence of a linear potential is studied. As a dimensionless measure of decoherence, purity, a quantity appearing in the definition of [...] Read more.
In this work, momentum-space decoherence using minimum and nonminimum-uncertainty-product (stretched) Gaussian wave packets in the framework of Caldeira–Leggett formalism and under the presence of a linear potential is studied. As a dimensionless measure of decoherence, purity, a quantity appearing in the definition of the linear entropy, is studied taking into account the role of the stretching parameter. Special emphasis is on the open dynamics of the well-known cat states and bosons and fermions compared to distinguishable particles. For the cat state, while the stretching parameter speeds up the decoherence, the external linear potential strength does not affect the decoherence time; only the interference pattern is shifted. Furthermore, the interference pattern is not observed for minimum-uncertainty-product-Gaussian wave packets in the momentum space. Concerning bosons and fermions, the question we have addressed is how the symmetry of the wave functions of indistinguishable particles is manifested in the decoherence process, which is understood here as the loss of being indistinguishable due to the gradual emergence of classical statistics with time. We have observed that the initial bunching and anti-bunching character of bosons and fermions, respectively, in the momentum space are not preserved as a function of the environmental parameters, temperature, and damping constant. However, fermionic distributions are slightly broader than the distinguishable ones and these similar to the bosonic distributions. This general behavior could be interpreted as a residual reminder of the symmetry of the wave functions in the momentum space for this open dynamics. Full article
(This article belongs to the Special Issue Open Quantum Systems)
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13 pages, 467 KiB  
Article
Lindblad Dynamics and Disentanglement in Multi-Mode Bosonic Systems
by Alexei D. Kiselev, Ranim Ali and Andrei V. Rybin
Entropy 2021, 23(11), 1409; https://doi.org/10.3390/e23111409 - 27 Oct 2021
Cited by 3 | Viewed by 2215
Abstract
In this paper, we consider the thermal bath Lindblad master equation to describe the quantum nonunitary dynamics of quantum states in a multi-mode bosonic system. For the two-mode bosonic system interacting with an environment, we analyse how both the coupling between the modes [...] Read more.
In this paper, we consider the thermal bath Lindblad master equation to describe the quantum nonunitary dynamics of quantum states in a multi-mode bosonic system. For the two-mode bosonic system interacting with an environment, we analyse how both the coupling between the modes and the coupling with the environment characterised by the frequency and the relaxation rate vectors affect dynamics of the entanglement. We discuss how the revivals of entanglement can be induced by the dynamic coupling between the different modes. For the system, initially prepared in a two-mode squeezed state, we find the logarithmic negativity as defined by the magnitude and orientation of the frequency and the relaxation rate vectors. We show that, in the regime of finite-time disentanglement, reorientation of the relaxation rate vector may significantly increase the time of disentanglement. Full article
(This article belongs to the Special Issue Open Quantum Systems)
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14 pages, 2014 KiB  
Article
Time-Dependent Dephasing and Quantum Transport
by Saulo V. Moreira, Breno Marques and Fernando L. Semião
Entropy 2021, 23(9), 1179; https://doi.org/10.3390/e23091179 - 8 Sep 2021
Cited by 1 | Viewed by 2013
Abstract
The investigation of the phenomenon of dephasing assisted quantum transport, which happens when the presence of dephasing benefits the efficiency of this process, has been mainly focused on Markovian scenarios associated with constant and positive dephasing rates in their respective Lindblad master equations. [...] Read more.
The investigation of the phenomenon of dephasing assisted quantum transport, which happens when the presence of dephasing benefits the efficiency of this process, has been mainly focused on Markovian scenarios associated with constant and positive dephasing rates in their respective Lindblad master equations. What happens if we consider a more general framework, where time-dependent dephasing rates are allowed, thereby, permitting the possibility of non-Markovian scenarios? Does dephasing-assisted transport still manifest for non-Markovian dephasing? Here, we address these open questions in a setup of coupled two-level systems. Our results show that the manifestation of non-Markovian dephasing-assisted transport depends on the way in which the incoherent energy sources are locally coupled to the chain. This is illustrated with two different configurations, namely non-symmetric and symmetric. Specifically, we verify that non-Markovian dephasing-assisted transport manifested only in the non-symmetric configuration. This allows us to draw a parallel with the conditions in which time-independent Markovian dephasing-assisted transport manifests. Finally, we find similar results by considering a controllable and experimentally implementable system, which highlights the significance of our findings for quantum technologies. Full article
(This article belongs to the Special Issue Open Quantum Systems)
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14 pages, 573 KiB  
Article
Quantumness Measures for a System of Two Qubits Interacting with a Field in the Presence of the Time-Dependent Interaction and Kerr Medium
by Sayed Abdel-Khalek, Kamal Berrada, Eied M. Khalil, Abdel-Shafy F. Obada, Esraa Reda and Hichem Eleuch
Entropy 2021, 23(5), 635; https://doi.org/10.3390/e23050635 - 19 May 2021
Cited by 5 | Viewed by 1978
Abstract
In this work, we introduce the standard Tavis-Cummings model to describe two-qubit system interacting with a single-mode field associated to power-law (PL) potentials. We explore the effect of the time-dependent interaction and the Kerr-like medium. We solve the Schrödinger equation to obtain the [...] Read more.
In this work, we introduce the standard Tavis-Cummings model to describe two-qubit system interacting with a single-mode field associated to power-law (PL) potentials. We explore the effect of the time-dependent interaction and the Kerr-like medium. We solve the Schrödinger equation to obtain the density operator that allows us to investigate the dynamical behaviour of some quantumness measures, such as von Neumann entropy, negativity and Mandel’s parameter. We provide how these entanglement measures depend on the system parameters, which paves the way towards better control of entanglement generation in two-qubit systems. We find that the enhancement and preservation of the atoms-field entanglement and atom-atom entanglement can be achieved by a proper choice of the initial parameters of the field in the absence and presence of the time-dependent interaction and Kerr medium. We examine the photons distribution of the field and determine the situations for which the field exhibits super-poissonian, poissonian or sub-poissonian distribution. Full article
(This article belongs to the Special Issue Open Quantum Systems)
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