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We study thermalization in a one-dimensional quantum system consisting of a noninteracting fermionic chain with each site of the chain coupled to an additional bath site. Using a density matrix renormalization group algorithm we investigate…

统计力学 · 物理学 2013-03-14 N. Sedlmayr , J. Ren , F. Gebhard , J. Sirker

We show, without relying on any unproven assumptions, that a low-density free fermion chain exhibits thermalization in the following (restricted) sense. We choose the initial state as a pure state drawn randomly from the Hilbert space in…

统计力学 · 物理学 2026-04-13 Naoto Shiraishi , Hal Tasaki

We consider a model of quantum dynamical semigroup on a finite dimensional fermionic space, obtained as the continuous-time limit of a repeated interactions model between a system and several thermal baths, with a dynamic driven by…

数学物理 · 物理学 2019-10-04 Andreys Simon

We consider a dissipative tight-binding chain. The dissipation manifests as tunneling into/out of the chain from/to a memoryless environment. The evolution of the system is described by the Lindblad equation. Already infinitesimally small…

介观与纳米尺度物理 · 物理学 2024-03-13 M. V. Medvedyeva , M. T. Čubrović , S. Kehrein

We study the transport, decoherence and dissipation of an impurity interacting with a bath of free fermions in a one-dimensional lattice. Numerical simulations are made with the time-evolving block decimation method. We introduce a mass…

量子气体 · 物理学 2016-08-24 A. -M. Visuri , J. J. Kinnunen , J. E. Baarsma , P. Törmä

We investigate the nonequilibrium thermodynamics of pure decoherence. In a pure decoherence process, the system Hamiltonian is a constant of motion and there is no direct energy exchange between the system and its surroundings.…

量子物理 · 物理学 2023-04-20 Maria Popovic , Mark T. Mitchison , John Goold

We study the dynamics of the passage of a stiff chain through a pore into a cell containing particles that bind reversibly to it. Using Brownian Molecular Dynamics simulations we investigate the mean-first-passage time as a function of the…

软凝聚态物质 · 物理学 2009-11-10 Roya Zandi , David Reguera , Joseph Rudnick , William M. Gelbart

We consider the discrete time dynamics of an ensemble of fermionic quantum walkers moving on a finite discrete sample, interacting with a reservoir of infinitely many quantum particles on the one dimensional lattice. The reservoir is given…

数学物理 · 物理学 2017-03-08 Eman Hamza , Alain Joye

Non-Hermitian systems have shown promising potential for realizing quantum information tasks that lack counterparts in the Hermitian realm. Understanding the dynamical characteristics of non-Hermitian systems as reflected in…

量子物理 · 物理学 2025-07-10 Wanchen Ma , Hao Zhang , Junjie Liu

The density matrix renormalization group (DMRG) is applied to some one-dimensional reaction-diffusion models in the vicinity of and at their critical point. The stochastic time evolution for these models is given in terms of a non-symmetric…

统计力学 · 物理学 2011-10-11 Enrico Carlon , Malte Henkel , Ulrich Schollwoeck

We consider non-interacting fermions on a lattice and give a general result for the reduced density matrices corresponding to parts of the system. This allows to calculate their spectra, which are essential in the DMRG method, by…

统计力学 · 物理学 2009-02-05 Ming-Chiang Chung , Ingo Peschel

Disorder and coherence jointly govern wave transport in complex media. In Hermitian systems, a long-established paradigm since Anderson's work holds that disorder-induced localization relies on phase-coherent interference, and that the loss…

光学 · 物理学 2026-04-07 Yudong Ren , Rui Zhao , Kangpeng Ye , Lu Zhang , Hongsheng Chen , Haoran Xue , Yihao Yang

Quantum computing's potential for exponential speedup is fundamentally limited by decoherence, a phenomenon arising from environmental interactions. Non-Hermitian quantum mechanics, particularly $PT$-symmetric systems, offers a novel…

量子物理 · 物理学 2025-11-25 Duttatreya , Ipsika Mohanty , Sanjib Dey

The reduced dynamics of a single or two qubits coupled to an interacting quantum spin bath modeled by a XXZ spin chain is investigated. By using the method of time-dependent density matrix renormalization group (t-DMRG), we go beyond the…

强关联电子 · 物理学 2013-04-04 Cheng-Yan Lai , Jo-Tzu Hung , Chung-Yu Mou , Pochung Chen

Quantum many-body systems and quantum devices experience the detrimental effects of noise and particle losses, necessitating their treatment as open quantum systems or, in approximation, as non-Hermitian systems. These systems exhibit…

量子物理 · 物理学 2023-05-26 Wei-Zhu Yi , Hao-Jie Lin , Ze-Xun Lin , Wei-Qiang Chen

We study non-equilibrium dynamics of integrable and non-integrable closed quantum systems whose unitary evolution is interrupted with stochastic resets, characterized by a reset rate $r$, that project the system to its initial state. We…

统计力学 · 物理学 2020-02-11 B. Mukherjee , K. Sengupta , Satya N. Majumdar

Using the density matrix renormalization group (DMRG) method, we study the quantum coherence in one-dimensional disordered Fermi systems. We consider in detail spinless fermions on a ring, and compare the influence of several kinds of…

强关联电子 · 物理学 2017-09-27 C. Schuster , U. Eckern

We study decoherence induced on a two-level system coupled to a one-dimensional quantum spin chain. We consider the cases where the dynamics of the chain is determined by the Ising, XY, or Heisenberg exchange Hamiltonian. This model of…

Exactly solvable models provide an opportunity to study different aspects of reduced quantum dynamics in detail. We consider the reduced dynamics of a single spin in finite XX and XY spin 1/2 chains. First we introduce a general expression…

量子物理 · 物理学 2015-03-17 Oleg Lychkovskiy

We study the non-Markovian dynamics of a qubit made up of a two-level atom interacting with an electromagnetic field (EMF) initially at finite temperature. Unlike most earlier studies where the bath is assumed to be fixed, we study the…

量子物理 · 物理学 2009-11-10 S. Shresta , C. Anastopoulos , A. Dragulescu , B. L. Hu
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