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This is a concise, pedagogical introduction to the dynamic field of open quantum systems governed by Markovian master equations. We focus on the mathematical and physical origins of the widely used Lindblad equation, its unraveling in terms…

量子物理 · 物理学 2025-11-05 Shovan Dutta

We investigate the continuous-time dynamics of highly-entangling intermediate-scale quantum circuits in the presence of dissipation and decoherence. By compressing the Hilbert space to a time-dependent "corner" subspace that supports…

量子物理 · 物理学 2021-12-13 Kaelan Donatella , Zakari Denis , Alexandre Le Boité , Cristiano Ciuti

We investigate the dynamical properties of one-dimensional dissipative Fermi-Hubbard models, which are described by the Lindblad master equations with site-dependent jump operators. The corresponding non-Hermitian effective Hamiltonians…

量子气体 · 物理学 2020-08-12 Lei Pan , Xueliang Wang , Xiaoling Cui , Shu Chen

Using the theory of large deviations, macroscopic fluctuation theory provides a framework to understand the behaviour of non-equilibrium dynamics and steady states in diffusive systems. We extend this framework to a minimal model of…

统计力学 · 物理学 2023-10-02 D. R. Michiel Renger , Upanshu Sharma

The Lindblad master equation is a fundamental tool for describing the evolution of open quantum systems, but its computational complexity poses a significant challenge, especially for large systems. This article introduces a stochastic…

量子物理 · 物理学 2025-04-04 Sayak Adhikari , Roi Baer

We study experimentally and numerically the noisy evolution of multipartite entangled states, focusing on superconducting-qubit devices accessible via the cloud. We find that a valid modeling of the dynamics requires one to properly account…

量子物理 · 物理学 2024-01-05 Liran Shirizly , Grégoire Misguich , Haggai Landa

We investigate a decomposition of a unital Lindblad dynamical map of an open quantum system into two distinct types of mapping on the Hilbert-Schmidt space of quantum states. One component of the decomposed map corresponds to reversible…

量子物理 · 物理学 2019-02-18 Fattah Sakuldee , Sujin Suwanna

This paper is concerned with a stochastic dissipativity theory using quadratic-exponential storage functions for open quantum systems with canonically commuting dynamic variables governed by quantum stochastic differential equations. The…

量子物理 · 物理学 2012-05-21 Igor G. Vladimirov , Ian R. Petersen

We present a novel method to simulate the Lindblad equation, drawing on the relationship between Lindblad dynamics, stochastic differential equations, and Hamiltonian simulations. We derive a sequence of unitary dynamics in an enlarged…

量子物理 · 物理学 2024-08-27 Zhiyan Ding , Xiantao Li , Lin Lin

In driven-dissipative systems, the presence of a strong symmetry guarantees the existence of several steady states belonging to different symmetry sectors. Here we show that, when a system with a strong symmetry is initialized in a quantum…

We devise a generic and experimentally accessible recipe to prepare boundary states of topological or nontopological quantum systems through an interplay between coherent Hamiltonian dynamics and local dissipation. Intuitively, our recipe…

介观与纳米尺度物理 · 物理学 2023-12-13 Fan Yang , Paolo Molignini , Emil J. Bergholtz

Decoherence is a well established process for the emergence of classical mechanics in open quantum systems. However, it can have two different origins or mechanisms depending on the dynamics one is considering, speaking then about intrinsic…

量子物理 · 物理学 2022-12-14 S. V. Mousavi , S. Miret-Artes

It is by now well established that noise itself can be useful for performing quantum information processing tasks. We present results which show how one can effectively reduce the error rate associated with a noisy quantum channel, by…

量子物理 · 物理学 2017-11-15 Jeffrey Marshall , Lorenzo Campos Venuti , Paolo Zanardi

We consider the quantum dynamics of a pair of coupled quantum oscillators coupled to a common correlated dissipative environment. The resulting equations of motion for both the operator moments and covariances can be integrated analytically…

量子物理 · 物理学 2025-01-09 Eric R Bittner , Bhavay Tyagi

Understanding the mixing of open quantum systems is a fundamental problem in physics and quantum information science. Existing approaches for estimating the mixing time often rely on the spectral gap estimation of the Lindbladian generator,…

量子物理 · 物理学 2025-04-14 Di Fang , Jianfeng Lu , Yu Tong

We explore the effects of spatial locality on the dynamics of random quantum systems subject to a Markovian noise. To this end, we study a model in which the system Hamiltonian and its couplings to the noise are random matrices whose…

量子物理 · 物理学 2024-01-26 Dror Orgad , Vadim Oganesyan , Sarang Gopalakrishnan

Time-resolved photoemission spectroscopy provides a unique and direct way to explore the real-time nonequilibrium dynamics of electrons and holes. The formal theory of the spectral function evolution requires inclusion of electronic…

材料科学 · 物理学 2025-05-09 Thomas Blommel , Enrico Perfetto , Gianluca Stefanucci , Vojtěch Vlček

We investigate signatures of non-Markovianity in the dynamics of a periodically-driven qubit coupled to a dissipative bosonic environment. We propagate the dynamics of the reduced density matrix of the qubit by integrating the numerically…

量子物理 · 物理学 2024-04-30 Graziano Amati

We discuss how quantum jumps affect localized regimes in driven-dissipative disordered many-body systems featuring a localization transition. We introduce a deformation of the Lindblad master equation that interpolates between the standard…

量子物理 · 物理学 2024-05-08 Sparsh Gupta , Hari Kumar Yadalam , Manas Kulkarni , Camille Aron

The adiabatic theorem and "shortcuts to adiabaticity" for the adiabatic dynamics of time-dependent decoherence-free subspaces are explored in this paper. Starting from the definition of the dynamical stable decoherence-free subspaces, we…

量子物理 · 物理学 2017-10-25 S. L. Wu , X. L. Huang , H. Li , X. X. Yi
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