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相关论文: Open system dynamics in local Lindbladians with ch…

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The study of dissipation and decoherence in generic open quantum systems recently led to the investigation of spectral and steady-state properties of random Lindbladian dynamics. A natural question is then how realistic and universal those…

统计力学 · 物理学 2020-10-22 Lucas Sá , Pedro Ribeiro , Tankut Can , Tomaž Prosen

In the presence of Lindblad decoherence, i.e. dissipative effects in an open quantum system due to interaction with an environment, we examine the transition probabilities between the eigenstates in the two-level quantum system described by…

量子物理 · 物理学 2024-04-24 Tommy Ohlsson , Shun Zhou

The generic behavior of purely dissipative open quantum many-body systems with local dissipation processes can be investigated using random matrix theory, revealing a hierarchy of decay timescales of observables organized by their…

量子物理 · 物理学 2024-02-12 Nick D. Hartmann , Jimin L. Li , David J. Luitz

The Lindblad equation for open quantum systems is central to our understanding of coherence and entanglement in the presence of Markovian dissipation. In closed quantum systems Hilbert-space fragmentation is an effective mechanism for…

量子物理 · 物理学 2025-06-23 Dawid Paszko , Christopher J. Turner , Dominic C. Rose , Arijeet Pal

To understand typical dynamics of an open quantum system in continuous time, we introduce an ensemble of random Lindblad operators, which generate Markovian completely positive evolution in the space of density matrices. Spectral properties…

We consider a class of open quantum many-body Lindblad dynamics characterized by an all-to-all coupling Hamiltonian and by dissipation featuring collective ``state-dependent" rates. The latter encodes local incoherent transitions that…

统计力学 · 物理学 2023-08-16 Eliana Fiorelli , Markus Müller , Igor Lesanovsky , Federico Carollo

The Lindblad equation determines the time evolution of the density operator of open quantum systems. While valid for any system size, its use is, in practice, restricted to prototype/surrogate models with the aim of tackling specific…

量子物理 · 物理学 2026-04-07 Benedikt M. Reible , Somayeh Ahmadkhani , Luigi Delle Site

Open quantum systems weakly coupled to the environment are modeled by completely positive, trace preserving semigroups of linear maps. The generators of such evolutions are called Lindbladians. In the setting of quantum many-body systems on…

量子物理 · 物理学 2015-04-29 Toby S. Cubitt , Angelo Lucia , Spyridon Michalakis , David Perez-Garcia

The dynamics of an open quantum system with balanced gain and loss is not described by a PT-symmetric Hamiltonian but rather by Lindblad operators. Nevertheless the phenomenon of PT-symmetry breaking and the impact of exceptional points can…

量子物理 · 物理学 2021-05-21 Dorje C. Brody

We study generic open quantum systems with Markovian dissipation, focusing on a class of stochastic Liouvillian operators of Lindblad form with independent random dissipation channels (jump operators) and a random Hamiltonian. We establish…

量子物理 · 物理学 2020-08-07 Lucas Sá , Pedro Ribeiro , Tomaž Prosen

The Lindblad equation is widely employed in studies of Markovian quantum open systems. Here, firstly, a simple result is presented on the time evolution of the non Neumann entropy under the Lindblad equation, which enables one to examine if…

量子物理 · 物理学 2016-10-18 Congjie Ou , Ralph V. Chamberlin , Sumiyoshi Abe

To characterize the generic behavior of open quantum systems, we consider random, purely dissipative Liouvillians with a notion of locality. We find that the positivity of the map implies a sharp separation of the relaxation timescales…

强关联电子 · 物理学 2020-03-18 Kevin Wang , Francesco Piazza , David J. Luitz

Open quantum systems undergo decoherence, which is responsible for the transition from quantum to classical behavior. The time scale in which decoherence takes place can be analyzed using upper limits to its rate. We examine the dynamics of…

量子物理 · 物理学 2024-06-10 Yifeng Yang , Zhenyu Xu , Adolfo del Campo

We introduce different ensembles of random Lindblad operators $\cal L$, which satisfy quantum detailed balance condition with respect to the given stationary state $\sigma$ of size $N$, and investigate their spectral properties. Such…

统计力学 · 物理学 2023-07-26 Wojciech Tarnowski , Dariusz Chruściński , Sergey Denisov , Karol Życzkowski

We discuss the decay rates of chaotic quantum systems coupled to noise. We model both the Hamiltonian and the system-noise coupling by random $N \times N$ Hermitian matrices, and study the spectral properties of the resulting Lindblad…

量子物理 · 物理学 2019-12-11 Tankut Can , Vadim Oganesyan , Dror Orgad , Sarang Gopalakrishnan

We discover a novel localization transition that alters the dynamics of coherence in disordered many-body spin systems subject to Markovian dissipation. The transition occurs in the middle spectrum of the Lindbladian super-operator whose…

无序系统与神经网络 · 物理学 2022-06-08 Ryusuke Hamazaki , Masaya Nakagawa , Taiki Haga , Masahito Ueda

This work is concerned with determination of the steady-state structure of time-independent Lindblad master equations, especially those possessing more than one steady state. The approach here is to treat Lindblad systems as generalizations…

量子物理 · 物理学 2014-02-24 Victor V. Albert , Liang Jiang

We investigate dissipation-driven topological phase transitions in one-dimensional quantum open systems governed by the Lindblad equation with linear dissipation operators, which ensure the density matrix retains its Gaussian form…

量子物理 · 物理学 2026-01-27 Tian-Shu Deng , Fan Yang

We study generic open quantum systems with Markovian dissipation, focusing on a class of stochastic Liouvillian operators of Lindblad form with independent random dissipation channels (jump operators) and a random Hamiltonian. We perform a…

统计力学 · 物理学 2019-11-07 Lucas Sá

The Lindblad equation describes the dissipative time evolution of a density matrix that characterizes an open quantum system in contact with its environment. The widespread ensemble interpretation of a density matrix requires its time…

量子物理 · 物理学 2020-09-04 Bernd Fernengel , Barbara Drossel
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