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We study the driven-dissipative Bose-Hubbard model with all-to-all hopping and subject to incoherent pumping and decay, as is naturally probed in several recent experiments on excitons in WS2/WSe2 moir\'e systems, as well as quantum…

Strongly Correlated Electrons · Physics 2025-07-10 Zhenhao Song , Tessa Cookmeyer , Leon Balents

The Lindblad master equation for an arbitrary quadratic system of n fermions is solved explicitly in terms of diagonalization of a 4n x 4n matrix, provided that all Lindblad bath operators are linear in the fermionic variables. The method…

Quantum Physics · Physics 2009-11-13 Tomaz Prosen

Markovian master equations, often called Liouvillians or Lindbladians, are used to describe decay and decoherence of a quantum system induced by that system's environment. While a natural environment is detrimental to fragile quantum…

Quantum Physics · Physics 2018-02-05 Victor V. Albert

We demonstrate that combining the positivity of density matrices with steady-state conditions yields a systematic bootstrap method for studying open quantum many-body systems governed by Lindblad master equations on infinite lattices, which…

Quantum Physics · Physics 2026-04-23 Minjae Cho , Colin Oscar Nancarrow , Petar Tadić , Yuan Xin

We investigate autonomous dissipative charging mechanisms for lattice quantum batteries within the framework of open quantum systems. Focusing on engineered Markovian dissipation, we show that appropriately designed Lindblad jump operators…

Quantum Physics · Physics 2026-03-25 Mingdi Xu , Yiming Liu , Yefeng Song , Xiang-Ping Jiang , Lei Pan

By using the effective Hamiltonian approach, we present a self-consistent framework for the analysis of geometric phases and dynamically stable decoherence-free subspaces in open systems. Comparisons to the earlier works are made. This…

Quantum Physics · Physics 2009-11-13 X. L. Huang , X. X. Yi , Chunfeng Wu , X. L. Feng , S. X. Yu , C. H. OH

We consider an open quantum system described by a Lindblad-type master equation with two times-scales. The fast time-scale is strongly dissipative and drives the system towards a low-dimensional decoherence-free space. To perform the…

Quantum Physics · Physics 2016-03-16 Remi Azouit , Alain Sarlette , Pierre Rouchon

In this article, we investigate periodically driven open quantum systems within the framework of Floquet-Lindblad master equations. Specifically, we discuss Lindblad master equations in the presence of a coherent, time-periodic driving and…

We study the non-equilibrium dynamics of the dissipative quantum East model via numerical tensor networks. We use matrix product states to represent evolution under quantum-jump unravellings for sizes beyond those accessible to exact…

Statistical Mechanics · Physics 2024-07-19 Luke Causer , Mari Carmen Bañuls , Juan P. Garrahan

We introduce a class of quantum Markov semigroups describing the evolution of interacting quantum lattice systems, specified either as generic qudits or as fermions. The corresponding generators, which include both conservative and…

Mathematical Physics · Physics 2025-05-29 Lorenzo Bertini , Alberto De Sole , Gustavo Posta , Carlo Presilla

The Lindblad form guarantees complete positivity of a Markovian quantum master equation (QME). However, its microscopic derivation for a quantum system weakly interacting with a thermal bath requires several approximations, which may result…

Quantum Physics · Physics 2022-11-23 Jae Sung Lee , Joonhyun Yeo

We study the steady states of translation-invariant open quantum many-body systems governed by Lindblad master equations, where the Hamiltonian is quadratic in the ladder operators, and the Lindblad operators are either linear or quadratic…

Quantum Physics · Physics 2023-11-02 Yikang Zhang , Thomas Barthel

We analyze a general method for the dissipative preparation and stabilization of volume-law entangled states of fermionic and qubit lattice systems in 1D (and higher dimensions for fermions). Our approach requires minimal resources:…

Quantum Physics · Physics 2022-05-02 Andrew Pocklington , Yu-Xin Wang , Yariv Yanay , Aashish A. Clerk

Driving a quantum system out of equilibrium while preserving its subtle quantum mechanical correlations on large scales presents a major challenge, both fundamentally and for technological applications. At its core, this challenge is…

Statistical Mechanics · Physics 2026-01-28 Rohan Mittal , Tom Zander , Johannes Lang , Sebastian Diehl

We develop a numerical procedure to efficiently model the nonequilibrium steady state of one-dimensional arrays of open quantum systems, based on a matrix-product operator ansatz for the density matrix. The procedure searches for the null…

Quantum Physics · Physics 2015-08-26 Eduardo Mascarenhas , Hugo Flayac , Vincenzo Savona

We investigate the competition of coherent and dissipative dynamics in many-body systems at continuous quantum transitions. We consider dissipative mechanisms that can be effectively described by Lindblad equations for the density matrix of…

Statistical Mechanics · Physics 2019-11-15 Davide Nigro , Davide Rossini , Ettore Vicari

Solving problems related to open quantum systems has attracted many interests. Here, we propose a variational quantum algorithm to find the steady state of open quantum systems. In this algorithm, we employ parameterized quantum circuits to…

Quantum Physics · Physics 2021-08-11 Huan-Yu Liu , Tai-Ping Sun , Yu-Chun Wu , Guo-Ping Guo

If an open quantum system is initially uncorrelated from its environment, then its dynamics can be written in terms of a Lindblad-form master equation. The master equation is divided into a unitary piece, represented by an effective…

Quantum Physics · Physics 2022-05-12 Patrick Hayden , Jonathan Sorce

We analyze the Markovian dynamics of a quantum system involving the interaction of two quantized fields at finite temperature decay. Utilizing superoperator techniques and applying two non-unitary transformations, we reformulate the…

We consider the integrable family of symmetric boundary-driven interacting particle systems that arise from the non-compact XXX Heisenberg model in one dimension with open boundaries. In contrast to the well-known symmetric exclusion…

Mathematical Physics · Physics 2024-05-27 Rouven Frassek , Cristian Giardinà
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