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Master equations in the Lindblad form describe evolution of open quantum systems that is completely positive and simultaneously has a semigroup property. We analyze a possibility to derive this type of master equations from an intrinsically…

Quantum Physics · Physics 2007-05-23 Mario Ziman , Peter Stelmachovic , Vladimir Buzek

The relaxation behaviour of isolated quantum systems taken out of equilibrium is among the most intriguing questions in many-body physics. Quantum systems out of equilibrium typically relax to thermal equilibrium states by scrambling local…

Inspired by natural cooling processes, dissipation has become a promising approach for preparing low-energy states of quantum systems. However, the potential of dissipative protocols remains unclear beyond certain commuting Hamiltonians.…

Quantum Physics · Physics 2026-02-27 Yongtao Zhan , Zhiyan Ding , Jakob Huhn , Johnnie Gray , John Preskill , Garnet Kin-Lic Chan , Lin Lin

For multi-level open quantum system, the interaction between different levels could pose challenge to understand the quantum system both analytically and numerically. In this work, we study the approximation of the dynamics of the…

Quantum Physics · Physics 2018-01-17 Yu Cao , Jianfeng Lu

Recent advances in quantum technologies and related experiments have created a need for highly accurate, versatile, and computationally efficient simulation techniques for the dynamics of open quantum systems. Long-lived correlation effects…

Quantum Physics · Physics 2026-01-09 Meng Xu , Vasilii Vadimov , J. T. Stockburger , J. Ankerhold

Understanding dissipation in open quantum systems is crucial for the development of robust quantum technologies. In this work, we introduce a Transformer-based machine learning framework to infer time-dependent dissipation rates in quantum…

Quantum Physics · Physics 2025-05-13 Chi-Sheng Chen , En-Jui Kuo

We consider a composite open quantum system consisting of a fast subsystem coupled to a slow one. Using the time-scale separation, we develop an adiabatic elimination technique to derive at any order the reduced model describing the slow…

Quantum Physics · Physics 2017-07-11 Remi Azouit , Francesca Chittaro , Alain Sarlette , Pierre Rouchon

The Lindblad equation is commonly used for studying quantum dynamics in open systems that cannot be completely isolated from an environment, relevant to a broad variety of research fields, such as atomic physics, materials science, quantum…

Quantum Physics · Physics 2018-09-26 Zhu Ruan , Roi Baer

We study controllability of finite-dimensional open quantum systems under a general Markovian control model combining full coherent (unitary) control with tunable dissipative channels. Assuming the Hamiltonian controls is a H\"ormander…

Quantum Physics · Physics 2025-12-25 Jihong Cai , Advith Govindarajan , Marius Junge

We investigate the onset and mechanism of Hilbert space fragmentation (HSF) in a chain of strongly interacting Rydberg atoms subject to local dephasing. It is found that the emergence of multiple long-lived metastable states is…

Quantum Physics · Physics 2025-12-01 Tianyi Yan , Chun Hei Leung , Weibin Li

We demonstrate a surprising connection between pure steady state entanglement and relaxation timescales in an extremely broad class of Markovian open systems, where two (possibly many-body) systems $A$ and $B$ interact locally with a common…

Quantum Physics · Physics 2024-10-17 Andrew Pocklington , Aashish A. Clerk

We study steady-states of quantum Markovian processes whose evolution is described by local Lindbladians. We assume that the Lindbladian is gapped and satisfies quantum detailed balance with respect to a unique full-rank steady state…

Quantum Physics · Physics 2024-05-17 Raz Firanko , Moshe Goldstein , Itai Arad

We develop an extension of the Monte Carlo wave function approach that unambiguously identifies dynamical entanglement in general composite, open systems. Our algorithm performs tangential projections onto the set of separable states,…

Quantum Physics · Physics 2026-01-21 Laura Ares , Julien Pinske , Benjamin Hinrichs , Martin Kolb , Jan Sperling

We develop a theory of symmetry in open quantum systems. Using the operator-state mapping, we characterize symmetry of Liouvillian superoperators for the open quantum dynamics by symmetry of operators in the double Hilbert space and apply…

Mesoscale and Nanoscale Physics · Physics 2023-08-30 Kohei Kawabata , Anish Kulkarni , Jiachen Li , Tokiro Numasawa , Shinsei Ryu

Markovian reservoir engineering, in which time evolution of a quantum system is governed by a Lindblad master equation, is a powerful technique in studies of quantum phases of matter and quantum information. It can be used to drive a…

Quantum Physics · Physics 2016-11-18 Victor V. Albert , Barry Bradlyn , Martin Fraas , Liang Jiang

We consider a Lindblad equation that for particular initial conditions reduces to an asymmetric simple exclusion process with additional loss and gain terms. The resulting Lindbladian exhibits operator-space fragmentation and each block is…

Statistical Mechanics · Physics 2021-10-27 Jacob Robertson , Fabian H. L. Essler

Fast-forwarding refers to the ability to simulate a system of time $t$ using significantly fewer than $t$ queries or circuit depth. While various Hamiltonian systems are known to circumvent the no fast-forwarding theorem, analogous results…

Quantum Physics · Physics 2026-05-25 Zhong-Xia Shang , Dong An , Changpeng Shao

We study a generic family of Lindblad master equations modeling bipartite open quantum systems, where one tries to stabilize a quantum system by carefully designing its interaction with another, dissipative, quantum system-a strategy known…

Quantum Physics · Physics 2024-12-02 Rémi Robin , Pierre Rouchon , Lev-Arcady Sellem

Quantum kinetically constrained models have recently attracted significant attention due to their anomalous dynamics and thermalization. In this work, we introduce a hitherto unexplored family of kinetically constrained models featuring a…

Quantum Physics · Physics 2023-09-20 Pietro Brighi , Marko Ljubotina , Maksym Serbyn

We study the constraints imposed on the population and phase relaxation rates by the physical requirement of completely positive evolution for open N-level systems. The Lindblad operators that govern the evolution of the system are…

Quantum Physics · Physics 2009-11-10 Sonia G Schirmer , Allan I Solomon