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We show that in any relativistic system, entanglement entropy obeys a speed limit set by the entanglement in thermal equilibrium. The bound is derived from inequalities on relative entropy with respect to a thermal reference state. Thus the…

高能物理 - 理论 · 物理学 2015-12-10 Thomas Hartman , Nima Afkhami-Jeddi

We introduce state-independent, non-perturbative Hamiltonian quantum speed limits for population leakage and fidelity loss, for a gapped open system interacting with a reservoir. These results hold in the presence of initial correlations…

量子物理 · 物理学 2015-11-20 Iman Marvian , Daniel A. Lidar

Bounds to the speed of evolution of a quantum system are of fundamental interest in quantum metrology, quantum chemical dynamics and quantum computation. We derive a time-energy uncertainty relation for open quantum systems undergoing a…

量子物理 · 物理学 2013-03-05 A. del Campo , I. L. Egusquiza , M. B. Plenio , S. F. Huelga

For the stochastic six-vertex model on the quadrant $\mathbb{Z}_{\geq0}\times\mathbb{Z}_{\geq0}$ with step initial conditions and a single second-class particle at the origin, we show almost sure convergence of the speed of the second-class…

概率论 · 数学 2025-01-22 Hindy Drillick , Levi Haunschmid-Sibitz

We consider damped stochastic systems in a controlled (time-varying) quadratic potential and study their transition between specified Gibbs-equilibria states in finite time. By the second law of thermodynamics, the minimum amount of work…

统计力学 · 物理学 2018-03-23 Yongxin Chen , Tryphon Georgiou , Allen Tannenbaum

We set out a general protocol for steering the state of a quantum system from an arbitrary initial state towards a chosen target state by coupling it to auxiliary quantum degrees of freedom. The protocol requires multiple repetitions of an…

统计力学 · 物理学 2020-09-09 Sthitadhi Roy , J. T. Chalker , I. V. Gornyi , Yuval Gefen

The quantum speed limit indicates the maximal evolution speed of the quantum system. In this work, we determine speed limits on the informational measures, namely the von Neumann entropy, maximal information, and coherence of quantum…

量子物理 · 物理学 2022-06-16 Brij Mohan , Siddhartha Das , Arun Kumar Pati

We prove that the transport of any differentiable scalar observable in $d$-dimensional non-equilibrium systems is bounded from above by the total entropy production scaled by the amount the observation "stretches" microscopic coordinates.…

统计力学 · 物理学 2024-10-10 Cai Dieball , Aljaž Godec

The Fisher information (FI) metric is a Riemannian metric that allows a geometric treatment of stochastic thermodynamics, introducing the possibility of computing thermodynamic lengths and deviations from equilibrium. At the trajectory…

The quantum speed limit and the Wigner function of open system models are studied. To this end, we use the phase covariant and a two-qubit model interacting with a squeezed thermal bath via position-dependent coupling. The dependence of the…

量子物理 · 物理学 2025-04-18 Arti Gaharwar , Devvrat Tiwari , Subhashish Banerjee

Quantum state change can not occurs instantly, but the speed of quantum evolution is limited to an upper bound value, called quantum speed limit (QSL). Engineering QSL is an important task for quantum information and computation science and…

量子物理 · 物理学 2024-11-11 A. Aaliray , H. Mohammadi

Quantum speed limits provide ultimate bounds on the time required to transform one quantum state into another. Here, we extend the notion of quantum speed limits to collections of quantum states, investigating the time for converting a…

A general time-dependent quantum system can be driven fast from its initial ground state to its final ground state without generating transitions by adding a steering term to the Hamiltonian. We show how this technique can be modified to…

量子物理 · 物理学 2018-12-11 A. Barış Özgüler , Robert Joynt , Maxim G. Vavilov

A stochastic process, when subject to resetting to its initial condition at a constant rate, generically reaches a non-equilibrium steady state. We study analytically how the steady state is approached in time and find an unusual relaxation…

统计力学 · 物理学 2015-05-29 Satya N. Majumdar , Sanjib Sabhapandit , Gregory Schehr

We derive a Geometric quantum speed limit (QSL) for imaginary-time evolution, where the dynamics is governed by a non-unitary Schr\"{o}dinger equation. By introducing a cost function based on the angular distance between the normalized…

量子物理 · 物理学 2025-08-15 Kohei Kobayashi

In studying the time evolution of isolated many-body quantum systems, a key focus is determining whether the system undergoes relaxation and reaches a steady state at a given point in time. Traditional approaches often rely on specific…

量子物理 · 物理学 2025-06-23 Jiaju Zhang , M. A. Rajabpour , Markus Heyl , Reyhaneh Khasseh

We develop a framework for identifying nonclassical speedups in systems with polarization, likewise spin degrees of freedom. By confining the dynamics to the manifold of angular momentum coherent states, which act as the classical reference…

量子物理 · 物理学 2026-03-25 Tim Aßbrock , Jan Sperling , Laura Ares

Assume that a stochastic processes can be approximated, when some scale parameter gets large, by a fluid limit (also called "mean field limit", or "hydrodynamic limit"). A common practice, often called the "fixed point approximation"…

动力系统 · 数学 2022-06-28 Jean-Yves Le Boudec

We discuss quantum speed limits (QSLs) for finite-dimensional quantum systems undergoing general physical processes. These QSLs were obtained using two families of entropic measures, namely the square root of the Jensen-Shannon divergence,…

量子物理 · 物理学 2026-04-13 Jucelino Ferreira de Sousa , Diego Paiva Pires

This work unifies the equilibrium and non-equilibrium frameworks of quantum metrology within the context of many-body systems. We investigate dynamic sensing schemes to derive an upper bound on the quantum Fisher information for probe…

量子物理 · 物理学 2025-12-03 Rui Zhang , Yang Yang , Wenkui Ding , Xiaoguang Wang