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We examine the dynamical properties of an exclusion process with creation and annihilation of particles in the framework of a phenomenological domain-wall theory, by scaling arguments and by numerical simulation. We find that the length-…

统计力学 · 物理学 2009-11-10 Robert Juhasz , Ludger Santen

We study the non-equilibrium steady state (NESS) of a driven dissipative one-dimensional system near a critical point, and explore how the quantum correlations compare to the known critical behavior in the ground state. The model we study…

量子物理 · 物理学 2014-01-09 Chaitanya Joshi , Felix Nissen , Jonathan Keeling

We construct a one-dimensional totally asymmetric simple exclusion process (TASEP) on a ring with two segments having unequal hopping rates, coupled to particle non-conserving Langmuir kinetics (LK) characterized by equal attachment and…

统计力学 · 物理学 2015-08-19 Tirthankar Banerjee , Anjan Kumar Chandra , Abhik Basu

In the thermodynamic limit, the steady states of open quantum many-body systems can undergo nonequilibrium phase transitions due to a competition between coherent and driven-dissipative dynamics. Here, we consider Markovian systems and…

量子物理 · 物理学 2023-09-04 Thomas Barthel , Yikang Zhang

We study asymmetric exclusion processes (TASEP) on a nonuniform one-dimensional ring consisting of two segments having unequal hopping rates, or {\em defects}. We allow weak particle nonconservation via Langmuir kinetics (LK), that are…

统计力学 · 物理学 2017-01-12 Bijoy Daga , Souvik Mondal , Anjan Kumar Chandra , Tirthankar Banerjee , Abhik Basu

We consider Lindblad dynamics of quantum spin systems on infinite lattices and define a nonequilibrium steady state (NESS) and a time-averaged nonequilibrium steady state (TANESS) on the basis of $C^*$-algebraic formalism. Generically, the…

数学物理 · 物理学 2025-08-12 Kenji Shimomura , Nagisa Hara , Seiichiro Kusuoka

We investigate the structure of the nonequilibrium stationary state (NESS) of a system of first and second class particles, as well as vacancies (holes), on L sites of a one-dimensional lattice in contact with first class particle…

统计力学 · 物理学 2020-06-16 Arvind Ayyer , Joel L. Lebowitz , Eugene R. Speer

The dynamic balance between pair creation and annihilation processes takes a crucial role to the topological superconductivity in Kitaev model. Here we study the effect of spatial separation of creation and annihilation terms, i.e., sources…

超导电性 · 物理学 2023-03-06 Y. B. Shi , Z. Song

We investigate the impact of nonreciprocity on universality and critical phenomena in open quantum interacting many-body systems. Nonreciprocal open quantum systems often have an exotic spectral sensitivity to boundary conditions, known as…

统计力学 · 物理学 2024-03-26 Samuel E. Begg , Ryo Hanai

We study a continuous-space version of the totally asymmetric simple exclusion process (TASEP), consisting of interacting Brownian particles subject to a driving force in a periodic external potential. Particles are inserted at the leftmost…

统计力学 · 物理学 2010-02-02 Jose Eduardo de Oliveira Rodrigues , Ronald Dickman

We study the applicability of the Liouvillian exceptional points (LEPs) approach to nanoscale open quantum systems. A generic model of the driven two-level system in a thermal environment is analyzed within the nonequilibrium Green's…

量子物理 · 物理学 2024-02-26 Nikhil Seshadri , Anqi Li , Michael Galperin

We study a quantum Ising chain with tailored bulk dissipation, which can be mapped onto a non-Hermitian Ashkin-Teller model. By exploiting the Kohmoto-den Nijs-Kadanoff transformation, we further map it to a staggered XXZ spin chain with…

统计力学 · 物理学 2021-12-06 Naoyuki Shibata , Hosho Katsura

Asymmetric exclusion process (TASEP) along a one-dimensional (1D) open channel sets the paradigm for 1D driven models and nonequilibrium phase transitions in open 1D models. Inspired by the phenomenologies of an open TASEP with Langmuir…

统计力学 · 物理学 2026-02-10 Sourav Pal , Abhik Basu

The process of protein synthesis in biological systems resembles a one dimensional driven lattice gas in which the particles have spatial extent, covering more than one lattice site. We expand the well studied Totally Asymmetric Exclusion…

统计力学 · 物理学 2009-11-10 Leah B. Shaw , R. K. P. Zia , Kelvin H. Lee

In this study, we investigate pairwise non-classical correlations measured using a one-way quantum deficit as well as quantum coherence in the $XY$ spin-1/2 chain in a transverse magnetic field for both zero and finite temperatures. The…

量子物理 · 物理学 2017-02-13 Biao-Liang Ye , Bo Li , Li-Jun Zhao , Hai-Jun Zhang , Shao-Ming Fei

The boundary cancellation theorem for open systems extends the standard quantum adiabatic theorem: assuming the gap of the Liouvillian does not vanish, the distance between a state prepared by a boundary cancelling adiabatic protocol and…

量子物理 · 物理学 2024-01-17 Humberto Munoz-Bauza , Lorenzo Campos Venuti , Daniel Lidar

The exceptional point has presented considerably interesting and counterintuitive phenomena associated with nonreciprocity, precision measurement, and topological dynamics. The Liouvillian exceptional point (LEP), involving the interplay of…

We investigate the steady-state phases of the one-dimensional quantum contact process model. We present the Liouvillian gap in the thermodynamic limit and uncover the metastability of the system. Exploiting the mean-field approximations…

量子物理 · 物理学 2026-02-06 Lin Shang , Shuai Geng , Xingli Li , Jiasen Jin

We address the question of how a non-equilibrium steady state (NESS) is reached in the Linbdladian dynamics of an open quantum system. We develop an expansion of the density matrix in terms of the NESS-excitations, each of which has its own…

介观与纳米尺度物理 · 物理学 2014-11-19 M. V. Medvedyeva , S. Kehrein

To mimic the complex transport-like collective phenomena in a man-made or natural system, we study an open network junction model of totally asymmetric simple exclusion process with bulk particle attachment and detachment. The stationary…

统计力学 · 物理学 2022-02-23 Ankita Gupta , Arvind Kumar Gupta
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