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We develop a novel framework to engineer persistent oscillatory modes in Markovian open quantum systems governed by a time-independent Lindblad master equation. We show that oscillatory modes can be created when the Hamiltonian and jump…

量子物理 · 物理学 2026-03-06 Chun Hei Leung , Pak-Tik Fong , Tianyi Yan , Weibin Li

In a number of physically relevant contexts, a quantum system interacting with a decohering environment is simultaneously subjected to time-dependent controls and its dynamics is thus described by a time-dependent Lindblad master equation.…

量子物理 · 物理学 2026-02-19 Lasse H. Wolff , Daniel Malz , Rahul Trivedi

Dissipative time crystals can appear in spin systems, when the $Z_2$ symmetry of the Hamiltonian is broken by the environment, and the square of total spin operator $S^2$ is conserved. In this manuscript, we relax the latter condition and…

量子物理 · 物理学 2022-12-22 Gianluca Passarelli , Procolo Lucignano , Rosario Fazio , Angelo Russomanno

Continuous time-translation symmetry is often spontaneously broken in open quantum systems, and the condition for their emergence has been actively investigated. However, there are only a few cases in which its condition for appearance has…

量子物理 · 物理学 2025-02-10 Yuma Nakanishi , Ryo Hanai , Tomohiro Sasamoto

We study the decoherence of a collection of Majorana zero modes weakly coupled to a gapless reservoir of non-interacting fermions. Using the Born-Markov approximation, we derive a Lindblad master equation for the dissipative dynamics of the…

介观与纳米尺度物理 · 物理学 2026-01-21 Sauri Bhattacharyya , Marco Grilli , Bernard van Heck

This work is concerned with determination of the steady-state structure of time-independent Lindblad master equations, especially those possessing more than one steady state. The approach here is to treat Lindblad systems as generalizations…

量子物理 · 物理学 2014-02-24 Victor V. Albert , Liang Jiang

We derive an effective equation of motion within the steady-state subspace of a large family of Markovian open systems (i.e., Lindbladians) due to perturbations of their Hamiltonians and system-bath couplings. Under mild and realistic…

量子物理 · 物理学 2018-09-21 Victor V. Albert , Kyungjoo Noh , Florentin Reiter

Exactly solvable Hamiltonians with spin liquid ground states have proven to be extremely useful, not only because they unambiguously demonstrate that these phases can arise in systems of interacting spins but also as a pedagogical…

强关联电子 · 物理学 2025-09-09 Leyna Shackleton , Mathias S. Scheurer

We investigate how symmetries and conserved quantities relate to the occurrence of the boundary time crystal (BTC) phase in a generalized spin model with Lindblad dissipation. BTCs are a non-equilibrium phase of matter in which the system,…

量子物理 · 物理学 2021-07-21 Giulia Piccitto , Matteo Wauters , Franco Nori , Nathan Shammah

Time crystals are a nonequilibrium phase of matter that extend fundamental spontaneous symmetry breaking into the temporal dimension, typically requiring external driving for their realization. Here, we explore the nonequilibrium phase…

量子物理 · 物理学 2025-05-13 Shu Yang , Zeqing Wang , Libin Fu , Jianwen Jie

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…

量子物理 · 物理学 2024-10-17 Andrew Pocklington , Aashish A. Clerk

We prove a no-go theorem for symmetry-based dissipative engineering of collective-spin steady states: in spin-only Lindblad dynamics with jump operators linear in the collective-spin operators, any unique steady state exhibiting at least…

We investigate dissipation-driven topological phase transitions in one-dimensional quantum open systems governed by the Lindblad equation with linear dissipation operators, which ensure the density matrix retains its Gaussian form…

量子物理 · 物理学 2026-01-27 Tian-Shu Deng , Fan Yang

We study the dissipative dynamics of a class of interacting ``gamma-matrix'' spin models coupled to a Markovian environment. For spins on an arbitrary graph, we construct a Lindbladian that maps to a non-Hermitian model of free Majorana…

量子物理 · 物理学 2025-10-28 Lucas Sá , Benjamin Béri

We present a rigorous and comprehensive classification of the asymptotic behavior of time-dependent Gorini-Kossakowski-Sudarshan-Lindblad (GKSL) equations under the assumption of Hermitian jump operators. Our results apply to a broad class…

量子物理 · 物理学 2026-05-06 Hironobu Yoshida , Ryusuke Hamazaki

We present a general approach to derive Lindblad master equations for a subsystem whose dynamics is coupled to dissipative bosonic modes. The derivation relies on a Schrieffer-Wolff transformation which allows to eliminate the bosonic…

量子物理 · 物理学 2022-08-17 Simon B. Jäger , Tom Schmit , Giovanna Morigi , Murray J. Holland , Ralf Betzholz

We establish a link between metastability and a discrete time-crystalline phase in a periodically driven open quantum system. The mechanism we highlight requires neither the system to display any microscopic symmetry nor the presence of…

统计力学 · 物理学 2019-01-10 F. M. Gambetta , F. Carollo , M. Marcuzzi , J. P. Garrahan , I. Lesanovsky

Open quantum systems weakly coupled to the environment are modeled by completely positive, trace preserving semigroups of linear maps. The generators of such evolutions are called Lindbladians. In the setting of quantum many-body systems on…

量子物理 · 物理学 2015-04-29 Toby S. Cubitt , Angelo Lucia , Spyridon Michalakis , David Perez-Garcia

As a paradigmatic model of open quantum system, the spin-boson model is widely used in theoretical and experimental investigations. Beyond the weak coupling limit, the spin dynamics can be described by a time-nonlocal generalized master…

统计力学 · 物理学 2018-08-10 L. Magazzù , S. Denisov , P. Hänggi

Lieb-Robinson bounds are powerful analytical tools for constraining the dynamic and static properties of non-relativistic quantum systems. Recently, a complete picture for closed systems that evolve unitarily in time has been achieved. In…

量子物理 · 物理学 2021-11-01 Andrew Y. Guo , Simon Lieu , Minh C. Tran , Alexey V. Gorshkov
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