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The Stochastic Liouville-von Neumann (SLN) equation describes the dynamics of an open quantum system reduced density matrix coupled to a non-Markovian harmonic environment. The interaction with the environment is represented by complex…

Quantum Physics · Physics 2021-02-19 Daniel Matos , Matthew A Lane , Ian J Ford , Lev Kantorovich

Dynamical phase transitions induced by local projective measurements have attracted a lot of attention in the past few years. It has been in particular argued that measurements may induce an abrupt change in the scaling law of the bipartite…

Statistical Mechanics · Physics 2024-12-10 Dragi Karevski , Michele Coppola , Emanuele Tirrito , Mario Collura

This study investigates the scaling behavior of the ground-state entanglement entropy in a model of free fermions on folded cubes. An analytical expression is derived in the large-diameter limit, revealing a strict adherence to the area…

Statistical Mechanics · Physics 2024-02-08 Pierre-Antoine Bernard , Zachary Mann , Gilles Parez , Luc Vinet

We revisit the question concerning stability of nonuniform superfluid states of the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) type to thermal and quantum fluctuations. Invoking the properties of the putative phase diagram of two-component…

Quantum Gases · Physics 2026-04-01 Piotr Zdybel , Mateusz Homenda , Andrzej Chlebicki , Pawel Jakubczyk

The dynamics of fermionic many-body systems is investigated in the framework of Boltzmann-Langevin (BL) stochastic one-body approaches. Within the recently introduced BLOB model, we examine the interplay between mean-field effects and…

Nuclear Theory · Physics 2017-11-27 P. Napolitani , M. Colonna

In this paper, Thermofield Dynamics (TFD) is applied to map a quantum optics nonlinear master equation into a Schrodinger-like equation for any arbitrary initial condition. This formalism provides a more efficient way for solving open…

Quantum Physics · Physics 2025-12-16 Urjjarani Patel , KVS Shiv Chaitanya

This paper considers the extension of the non-Markovian stochastic approach for quantum open systems strongly coupled to a fermionic bath, to the models in which the system operators commute with the fermion bath. This technique can also be…

Quantum Physics · Physics 2013-04-19 Xinyu Zhao , Wufu Shi , Lian-Ao Wu , Ting Yu

We study two classes of open systems: discrete-time quantum walks (a type of Floquet-engineered discrete quantum map) and the Lindblad master equation (a general framework of dissipative quantum systems), focusing on the non-equilibrium…

Disordered Systems and Neural Networks · Physics 2022-10-28 Ihor Vakulchyk

The entanglement entropy of free fermions with a Fermi surface is known to obey a logarithmic scaling and violate the area law in all dimensions. Here, we would like to see how temperature affects the logarithmic scaling behavior. To this…

Statistical Mechanics · Physics 2019-06-11 Hassan Shapourian , Shinsei Ryu

We examine the effectiveness of Lindblad master equation in capturing the short-time dynamics of entanglement and purity in open quantum systems. Focusing on two interacting two-level systems interacting with a larger environment, we…

Entanglement has developed into an essential concept for the characterization of phases and phase transitions in ground states of quantum many-body systems. In this work, we use the logarithmic negativity to study the spatial entanglement…

Strongly Correlated Electrons · Physics 2018-08-28 Younes Javanmard , Daniele Trapin , Soumya Bera , Jens H. Bardarson , Markus Heyl

Recently, Nathan and Rudner derived a Gorini-Kossakowski-Sudarshan-Lindblad master equation from the Redfield equation. The claim is that the level of approximation is equal to that of the Redfield equation. Here we benchmark the…

Quantum Physics · Physics 2024-07-24 C. S. Tello Breuer , T. Becker , A. Eckardt

The Lindblad equation is a widely used quantum master equation to model the dynamical evolution of open quantum systems whose states are described by density matrices. This equation is also a fundamental building block to design optimal…

Quantum Physics · Physics 2025-06-03 Hao Chen , Alfio Borzi

We investigate the behavior of entanglement between a single fermionic level and a fermionic bath in three distinct thermodynamic regimes. First, in thermal equilibrium, we analyze the dependence of entanglement on the considered…

Quantum Physics · Physics 2024-03-08 Krzysztof Ptaszynski , Massimiliano Esposito

Microscopic master equations have gained traction for the dissipative treatment of molecular spin and solid-state systems for quantum technologies. Single particle approximations are often invoked to treat these systems, which can lead to…

Quantum Physics · Physics 2026-02-12 Mikayla Z. Fahrenbruch , Anthony W. Schlimgen , Kade Head-Marsden

The dynamics described by the non-Hermitian Hamiltonian typically capture the short-term behavior of open quantum systems before quantum jumps occur. In contrast, the long-term dynamics, characterized by the Lindblad master equation (LME),…

Quantum Physics · Physics 2024-06-04 X. Z. Zhang

In recent years, various aspects of theoretical models with long range interactions have attracted attention, ranging from out-of-time-ordered correlators to entanglement. In the present paper, entanglement properties of a simple non-local…

Quantum Physics · Physics 2022-07-06 Pratim Roy

We revisit the out-of-equilibrium physics arising during the unitary evolution of a one-dimensional XXZ spin chain initially prepared in a domain wall state $\vert\psi_0\rangle=\vert\dots \uparrow\uparrow\downarrow\downarrow\dots\rangle$.…

Statistical Mechanics · Physics 2023-09-27 Stefano Scopa , Dragi Karevski

We discuss mapping the Bloch-Redfield master-equation to Lindblad form and then unravelling the resulting evolution into a stochastic Schr\"odinger equation according to the quantum-jump method. We give two approximations under which this…

Mesoscale and Nanoscale Physics · Physics 2013-12-09 Nicolas Vogt , Jan Jeske , Jared H. Cole

We study the scaling properties of the ground-state entanglement between finite subsystems of infinite two-dimensional free lattice models, as measured by the logarithmic negativity. For adjacent regions with a common boundary, we observe…

Statistical Mechanics · Physics 2016-04-01 Viktor Eisler , Zoltán Zimborás