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Non-Markovian Open Quantum Systems

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

Deadline for manuscript submissions: 31 October 2025 | Viewed by 1747

Special Issue Editor


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Guest Editor
Center for Quantum Science and Engineering, Department of Physics, Stevens Institute of Technology, Hoboken, NJ 07030, USA
Interests: quantum information; quantum physics; quantum technology; quantum measurement

Special Issue Information

Dear Colleagues,

The rapid advancement of experimental quantum technology and its application to the fabrication and manipulation of quantum devices have sparked renewed interest in the theory of non-Markovian open quantum systems. Understanding the temporal behaviors of these systems is crucial for addressing fundamental issues such as quantum dissipation, decoherence, quantum control, and quantum transport processes across different time scales. However, the widespread application of non-Markovian open quantum systems also presents significant challenges in characterizing and detecting quantum memory effects. For instance, non-Markovian quantum memory represents a promising frontier for enhancing quantum coherence time and generating robust entanglement, significantly boosting quantum processing capabilities and paving the way for more reliable quantum devices.

This special issue aims to explore the opportunities and challenges presented by recent advancements in non-Markovian open systems and their applications within the realm of quantum science and technology. We invite researchers and educators to contribute original research articles to this special issue.

List of topic areas:

  • Non-Markovian evolution and control
  • Manipulating quantum states in the presence of non-Markovian environment
  • Many-body dynamics and transition from non-Markovian to Markov
  • Non-Markovian quantum trajectories and non-Markovian master equations
  • Characterization and detection of non-Markovian dynamics
  • Non-Markovian quantum process tomography
  • Non-Markovian dynamics and large-scale numerical simulations
  • Machine learning and quantum open system simulations
  • Non-Markovian features in quantum measurement, quantum metrology of weak forces
  • Non-Markovian quantum transport and applications

Prof. Dr. Ting Yu
Guest Editor

Manuscript Submission Information

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Keywords

  • non-Markovian open quantum systems
  • non-Markovian dynamics
  • non-Markovian quantum transport
  • environmental memory effect
  • quantum control
  • quantum technology
  • quantum devices

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Published Papers (2 papers)

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Research

24 pages, 12948 KiB  
Article
An Open Quantum System Interacting with an Interference Engineering Environment
by He Wang and Jin Wang
Entropy 2025, 27(3), 228; https://doi.org/10.3390/e27030228 - 23 Feb 2025
Viewed by 373
Abstract
In this paper, we investigate the interference engineering of the open quantum system, where the environment is made indefinite either through the use of an interferometer or the introduction of auxiliary qubits. The environments are modeled by fully connected qubit baths with exact [...] Read more.
In this paper, we investigate the interference engineering of the open quantum system, where the environment is made indefinite either through the use of an interferometer or the introduction of auxiliary qubits. The environments are modeled by fully connected qubit baths with exact analytical dynamics. As the system passes through the interferometer or is controlled by auxiliary qubits, it is propagated along different paths or their superpositions, leading to distinct interactions with the environment in each path. This results in the superposition of the environments, which can be detected through specific measurements that retain certain coherent information about the paths. Our results demonstrate that the indefiniteness of the environment can significantly enhance the quantum correlations. However, only the statistical mixture of the influences from the environments is preserve provided that the path coherence is destructed. We also examine the serviceability of the indefiniteness as a resource for teleportation and quantum parameter estimation. Additionally, we discuss how to quantify the indefiniteness and the ways in which it affects the system’s dynamics from the perspective of wave–particle-entanglement-ignorance complementarity. Our study highlights the potential benefits of an indefinite environment in quantum information processing and sheds light on the fundamental principles underlying its effects. Full article
(This article belongs to the Special Issue Non-Markovian Open Quantum Systems)
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11 pages, 1452 KiB  
Article
Chaos in Optomechanical Systems Coupled to a Non-Markovian Environment
by Pengju Chen, Nan Yang, Austen Couvertier, Quanzhen Ding, Rupak Chatterjee and Ting Yu
Entropy 2024, 26(9), 742; https://doi.org/10.3390/e26090742 - 30 Aug 2024
Cited by 3 | Viewed by 977
Abstract
We study the chaotic motion of a semi-classical optomechanical system coupled to a non-Markovian environment with a finite correlation time. By studying the emergence of chaos using the Lyapunov exponent with the changing non-Markovian parameter, we show that the non-Markovian environment can significantly [...] Read more.
We study the chaotic motion of a semi-classical optomechanical system coupled to a non-Markovian environment with a finite correlation time. By studying the emergence of chaos using the Lyapunov exponent with the changing non-Markovian parameter, we show that the non-Markovian environment can significantly enhance chaos. It is observed that a non-Markovian environment characterized by the Ornstein–Uhlenbeck type noise can modify the generation of chaos with different environmental memory times. As a comparison, the crossover properties from Markov to non-Markovian regimes are also discussed. Our findings indicate that the quantum memory effects on the onset of chaos may become a useful property to be investigated in quantum manipulations and control. Full article
(This article belongs to the Special Issue Non-Markovian Open Quantum Systems)
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