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The dynamical behavior of open quantum systems plays a key role in many applications of quantum mechanics, examples ranging from fundamental problems, such as the environment-induced decay of quantum coherence and relaxation in many-body…

Quantum Physics · Physics 2016-05-04 Heinz-Peter Breuer , Elsi-Mari Laine , Jyrki Piilo , Bassano Vacchini

I present an approach to calculate the finite-frequency quantum noise in systems strongly coupled to structured reservoirs based on the Markovian embedding. This technique consists of mapping of the non-Markovian dynamics of the original…

Mesoscale and Nanoscale Physics · Physics 2020-12-04 Krzysztof Ptaszynski

Solving realistic quantum systems coupled to an environment is a challenging task. Here we develop a hierarchical functional derivative (HFD) approach for efficiently solving the non-Markovian quantum trajectories of an open quantum system…

Quantum Physics · Physics 2015-09-09 Da-Wei Luo , Chi-Hang Lam , Lian-Ao Wu , Ting Yu , Hai-Qing Lin , J. Q. You

We show that an open fermionic system coupled to continuous environment with unitary system-environment evolution can be exactly mapped onto an auxiliary system consisting of the physical fermion system and a set of discrete fermionic modes…

Mesoscale and Nanoscale Physics · Physics 2019-12-19 Feng Chen , Enrico Arrigoni , Michael Galperin

Memory or time-non-local effects in open quantum dynamics pose theoretical as well as practical challenges in the understanding and control of noisy quantum systems. While there has been a comprehensive and concerted effort towards…

Quantum Physics · Physics 2025-09-25 A. Keefe , N. Agarwal , A. Kamal

In this paper, the non-Markovian quantum dynamics of a coupled $N$-cavity model is studied based on the quantum state diffusion (QSD) approach. The time-local Di\'{o}si-Gisin-Strunz equation and the corresponding exact master equation are…

Quantum Physics · Physics 2014-04-08 Xinyu Zhao , Jun Jing , J. Q. You , Ting Yu

We introduce a non-Markovianity measure for continuous variable open quantum systems based on the idea put forward in H.-P. Breuer et al., Phys. Rev. Lett.\textbf{103}, 210401 (2009), i.e., by quantifying the flow of information from the…

We review our recent contributions to two topics that have become of interest in the field of open, dissipative quantum systems: non-Gaussian noise and decoherence in fermionic systems. Decoherence by non-Gaussian noise, i.e. by an…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Clemens Neuenhahn , B. Kubala , B. Abel , Florian Marquardt

The non-Markovianity of open quantum system dynamics is often associated with the bidirectional interchange of information between the system and its environment, and it is thought to be a resource for various quantum information tasks. We…

Quantum Physics · Physics 2023-03-28 Arzu Kurt

In non-Markovian systems, the current state of the system depends on the full or partial history of its past evolution. Owing to these time correlations, non-Markovian noise violates common assumptions in gate characterization protocols…

Quantum Physics · Physics 2025-02-21 Srilekha Gandhari , Michael J. Gullans

The basic features of the dynamics of open quantum systems, such as the dissipation of energy, the decay of coherences, the relaxation to an equilibrium or non-equilibrium stationary state, and the transport of excitations in complex…

Quantum Physics · Physics 2012-08-09 Heinz-Peter Breuer

Intrinsic noise in pre-fault-tolerant quantum devices poses a major challenge to the reliable realization of unitary dynamics in quantum algorithms and simulations. To address this, we present a method for simulating open quantum system…

Quantum Physics · Physics 2025-10-23 Kasturi Ranjan Swain , Rajesh K. Malla , Adolfo del Campo

Quantum non-Markovianity modifies the environmental decoherence of a system. This situation is enriched in complex systems owing to interactions among subsystems. We consider the problem of distinguishing the multiple sources of…

Quantum Physics · Physics 2021-03-03 Subhashish Banerjee , Javid Naikoo , R. Srikanth

It is shown that the exact dynamics of a composite quantum system can be represented through a pair of product states which evolve according to a Markovian random jump process. This representation is used to design a general Monte Carlo…

Quantum Physics · Physics 2007-05-23 Heinz-Peter Breuer

We present a theory of finite-frequency noise in non-equilibrium conductors. It is shown that Non-Markovian correlations are essential to describe the physics of quantum noise. In particular, we show the importance of a correct treatment of…

Mesoscale and Nanoscale Physics · Physics 2011-04-01 D. Marcos , C. Emary , T. Brandes , R. Aguado

The study of open quantum systems is important for fundamental issues of quantum physics as well as for technological applications such as quantum information processing. The interaction of a quantum system with it's environment is usually…

Quantum Physics · Physics 2016-02-02 Jun Sun , Yong-Nan Sun , Chuan-Feng Li , Guang-Can Guo , Kimmo Luoma , Jyrki Piilo

The non-Markovianity is a recently proposed characterization of the non-Markovian behavior in an open quantum system, based on which we first present a practical idea for directly measuring the non-Markovian character of a single qubit…

Quantum Physics · Physics 2010-04-27 Z. Y. Xu , W. L. Yang , M. Feng

Non-Markovian quantum state diffusion provides a wavefunction-based framework for modeling open quantum systems. In this work, we introduce a novel machine learning approach based on an operator construction algorithm. This algorithm…

Quantum Physics · Physics 2025-09-03 Jiaji Zhang , Carlos L. Benavides-Riveros , Lipeng Chen

Open quantum system interacting with structured environment is important and manifests non- Markovian behavior, which was conventionally studied using quantum trajectory stochastic method. In this paper, by dividing the effects of the…

Quantum Physics · Physics 2011-01-25 Chengjun Wu , Yang Li , Mingyi Zhu , Hong Guo

Non-Markovianity, the intricate dependence of an open quantum system on its temporal evolution history, holds tremendous implications across various scientific disciplines. However, accurately characterizing the complex non-Markovian…

Quantum Physics · Physics 2025-01-23 Xiang Li , Su-Xiang Lyu , Yao Wang , Rui-Xue Xu , Xiao Zheng , YiJing Yan