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Stochastic resetting is known for its ability to accelerate search processes and induce non-equilibrium steady states. Here, we compare the relaxation times and resulting steady states of resetting and thermal relaxation for Brownian motion…

统计力学 · 物理学 2025-10-31 Nir Sherf , Remi Goerlich , Barak Hirshberg , Yael Roichman

One often needs to estimate how fast an evolving state of a quantum system can depart from some target state or target subspace of a Hilbert space. Such estimates are known as quantum speed limits. We derive a quantum speed limit for a…

量子物理 · 物理学 2021-08-04 N. Il`in , O. Lychkovskiy

Quantum speed limit (QSL) for open quantum systems in the non-Markovian regime is analyzed. We provide a the lower bound for the time required to transform an initial state to a final state in terms of thermodynamic quantities such as the…

量子物理 · 物理学 2021-10-11 Arpan Das , Anindita Bera , Sagnik Chakraborty , Dariusz Chruściński

We prove that the time required for sustained information scrambling in any Hamiltonian quantum system is universally at least logarithmic in the entanglement entropy of scrambled states. This addresses two foundational problems in…

量子物理 · 物理学 2024-04-25 Amit Vikram , Laura Shou , Victor Galitski

We investigate the effect of deterministic analog control errors in the time-dependent Hamiltonian on isolated quantum dynamics. Deterministic analog control errors are formulated as time-dependent operators in the Schrodinger equation. We…

量子物理 · 物理学 2023-01-31 Manaka Okuyama , Masayuki Ohzeki

Recent advancements have revealed new links between information geometry and classical stochastic thermodynamics, particularly through the Fisher information (FI) with respect to time. Recognizing the non-uniqueness of the quantum Fisher…

量子物理 · 物理学 2025-10-07 Laetitia P. Bettmann , John Goold

The generic bound of quantum speed limit time (the minimal evolution time) for a qubit system interacting with structural environment is investigated. We define a new bound for the quantum speed limit. It is shown that the non-Markovianity…

量子物理 · 物理学 2015-09-23 Shao-xiong Wu , Yang Zhang , Chang-shui Yu , He-shan Song

We investigate quench dynamics in a one-dimensional spin model, comparing both quantum and classical descriptions. Our primary focus is on the different timescales involved in the evolution of the observables as they approach statistical…

统计力学 · 物理学 2024-11-21 Fausto Borgonovi , Felix M. Izrailev , Lea F. Santos

The laws of quantum physics place a limit on the speed of computation. In particular, the evolution time of a system from an initial state to a final state cannot be arbitrarily short. Bounds on the speed of evolution for unitary dynamics…

量子物理 · 物理学 2025-07-09 Zihao Hu , Haidong Yuan , Zigui Zhang , Chi-Hang Fred Fung , Zibo Miao

Complex systems are often characterized by the interplay of multiple interconnected dynamical processes operating across a range of temporal scales. This phenomenon is widespread in both biological and artificial scenarios, making it…

统计力学 · 物理学 2025-09-08 Giorgio Nicoletti , Daniel M. Busiello

We present a general theory of classical metastability in open quantum systems. Metastability is a consequence of a large separation in timescales in the dynamics, leading to the existence of a regime when states of the system appear…

统计力学 · 物理学 2021-07-20 Katarzyna Macieszczak , Dominic C. Rose , Igor Lesanovsky , Juan P. Garrahan

Fisher information is a lower bound on the uncertainty in the statistical estimation of classical and quantum mechanical parameters. While some deterministic dynamical systems are not subject to random fluctuations, they do still have a…

经典物理 · 物理学 2023-10-06 Mohamed Sahbani , Swetamber Das , Jason R. Green

Obtaining adiabatic processes that connect equilibrium states in a given time represents a challenge for mesoscopic systems. In this paper, we explicitly show how to build these finite-time adiabatic processes for an overdamped Brownian…

介观与纳米尺度物理 · 物理学 2020-04-01 C. A. Plata , D. Guéry-Odelin , E. Trizac , A. Prados

The quantum speed limit describes how quickly a quantum system can evolve in time from an initial state to a final state under a given dynamics. Here, we derive a generalised quantum speed limit (GQSL) for arbitrary time-continuous…

量子物理 · 物理学 2023-12-27 Dimpi Thakuria , Abhay Srivastav , Brij Mohan , Asmita Kumari , Arun Kumar Pati

We cast observable measure of quantum coherence or asymmetry as a resource to control the quantum speed limit (QSL) for unitary evolutions. For non-unitary evolutions, QSL depends on that of the state of the system and environment together.…

量子物理 · 物理学 2016-02-17 Debasis Mondal , Chandan Datta , Sk Sazim

The pace of evolution of physical systems is fundamentally constrained by quantum speed limits (QSL), which have found broad applications in quantum science and technology. We consider the speed of evolution for quantum systems undergoing…

量子物理 · 物理学 2019-04-09 Luis Pedro García-Pintos , Adolfo del Campo

Quantum theory sets a bound on the minimal time evolution between initial and target states. This bound is called as quantum speed limit time. It is used to quantify maximal speed of quantum evolution. The quantum evolution will be faster,…

量子物理 · 物理学 2019-07-22 S. Haseli , S. Salimi , H. Dolatkhah , A. S. Khorashad

We discuss the problem of counting the maximum number of distinct states that an isolated physical system can pass through in a given period of time---its maximum speed of dynamical evolution. Previous analyses have given bounds in terms of…

量子物理 · 物理学 2009-10-30 Norman Margolus , Lev B. Levitin

We study the minimum time related to the quantum speed limit that characterizes the evolution of an open quantum system with the help of a simple model in the short and long time limits. We compare in particular the situation corresponding…

量子物理 · 物理学 2016-04-12 Jean Richert , Tarek Khalil

We analyze the influence of relativistic effects on the minimum evolution time between two orthogonal states of a quantum system. Defining the initial state as an homogeneous superposition between two Hamiltonian eigenstates of an electron…

量子物理 · 物理学 2015-10-14 David V. Villamizar , Eduardo I. Duzzioni