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The recent direct experimental measurement of quantum entanglement paves the way towards a better understanding of many-body quantum systems and their correlations. Nevertheless, the experimental and theoretical advances had so far been…

统计力学 · 物理学 2019-06-18 Eyal Cornfeld , Eran Sela , Moshe Goldstein

We give a pedagogical introduction to the Generalized Hydrodynamic approach to inhomogeneous quenches in integrable many-body quantum systems. We review recent applications of the theory, focusing in particular on two classes of problems:…

统计力学 · 物理学 2021-11-24 Vincenzo Alba , Bruno Bertini , Maurizio Fagotti , Lorenzo Piroli , Paola Ruggiero

We put forward a phenomenological theory for entanglement dynamics in monitored quantum many-body systems with well-defined quasiparticles. Within this theory entanglement is carried by ballistically propagating non-Hermitian quasiparticles…

统计力学 · 物理学 2023-04-21 Xhek Turkeshi , Marcello Dalmonte , Rosario Fazio , Marco Schirò

We investigate the entanglement entropy in quantum states featuring repeated sequential excitations of unit patterns in momentum space. In the scaling limit, each unit pattern contributes independently and universally to the entanglement…

量子物理 · 物理学 2025-09-17 Jiaju Zhang

We study the entanglement entropy of the quantum trajectories of a free fermion chain under continuous monitoring of local occupation numbers. We propose a simple theory for entanglement entropy evolution from disentangled and highly…

统计力学 · 物理学 2019-08-28 Xiangyu Cao , Antoine Tilloy , Andrea De Luca

We consider the non-equilibrium dynamics of the entanglement entropy of a one-dimensional quantum gas of hard-core particles, initially confined in a box potential at zero temperature. At $t=0$ the right edge of the box is suddenly released…

统计力学 · 物理学 2021-09-10 Stefano Scopa , Alexandre Krajenbrink , Pasquale Calabrese , Jérôme Dubail

By applying complementary analytic and numerical methods, we investigate the dynamics of spin-$1/2$ XXZ models with variable-range interactions in arbitrary dimensions. The dynamics we consider is initiated from uncorrelated states that are…

A framework for statistical-mechanical analysis of quantum Hamiltonians is introduced. The approach is based upon a gradient flow equation in the space of Hamiltonians such that the eigenvectors of the initial Hamiltonian evolve toward…

量子物理 · 物理学 2013-09-13 Dorje C. Brody , David C. P. Ellis , Darryl D. Holm

The entanglement produced by a bilinear Hamiltonian in continuous variables has been thoroughly studied and widely used. In contrast, the physics of entanglement resulting from nonlinear interaction described by partially degenerate…

量子物理 · 物理学 2021-11-10 Da Zhang , David Barral , Yin Cai , Yanpeng Zhang , Min Xiao , Kamel Bencheikh

Infinite quasiperiodic arrangements in space, such as quasicrystals, are typically described as projections of higher-dimensional periodic lattices onto the physical dimension. The concept of a reference higher-dimensional space, called a…

量子气体 · 物理学 2019-08-12 Manuel Valiente , Callum W. Duncan , Nikolaj T. Zinner

The linear growth of entanglement after a quench from a state with short-range correlations is a universal feature of many body dynamics. It has been shown to occur in integrable and chaotic systems undergoing either Hamiltonian, Floquet or…

统计力学 · 物理学 2024-12-13 Konstantinos Chalas , Pasquale Calabrese , Colin Rylands

We investigate the quantum entanglement content of quasi-particle excitations in extended many-body systems. We show that such excitations give an additive contribution to the bi-partite von Neumann and R\'enyi entanglement entropies that…

We study the evolution of entanglement entropy in a 2-dimensional equilibration process that has a holographic description in terms of a Vaidya geometry. It models a unitary evolution in which the field theory starts in a pure state, its…

高能物理 - 理论 · 物理学 2010-12-06 Javier Abajo-Arrastia , Joao Aparicio , Esperanza Lopez

Given a specific interacting quantum Hamiltonian in a general spatial dimension, can one access its entanglement properties, such as, the entanglement entropy corresponding to the ground state wavefunction? Even though progress has been…

强关联电子 · 物理学 2013-10-01 Tarun Grover

We introduce a systematic framework to calculate the bipartite entanglement entropy of a compact spatial subsystem in a one-dimensional quantum gas which can be mapped into a noninteracting fermion system. We show that when working with a…

统计力学 · 物理学 2015-05-28 Pasquale Calabrese , Mihail Mintchev , Ettore Vicari

We study entanglement growth in a harmonic oscillator chain subjected to the weak measurement of observables which have been smeared-out over a length scale $R$. We find that entanglement grows diffusively ($S \sim t^{1/2}$) for a large…

量子物理 · 物理学 2024-03-08 Thomas Young , Dimitri M. Gangardt , Curt von Keyserlingk

The large-scale behaviour of entanglement entropy in finite-density states, in and out of equilibrium, can be understood using the physical picture of particle pairs. However, the full theoretical origin of this picture is not fully…

量子物理 · 物理学 2024-05-21 Giuseppe Del Vecchio Del Vecchio , Benjamin Doyon , Paola Ruggiero

We study the dynamics of charge fluctuations after homogeneous quantum quenches in one-dimensional systems with ballistic transport. For short but macroscopic times where the non-trivial dynamics is largely dominated by long-range…

统计力学 · 物理学 2025-07-09 David X. Horvath , Benjamin Doyon , Paola Ruggiero

Entanglement has become central for the characterization of quantum matter both in and out of equilibrium. In a dynamical context entanglement exhibits universal linear temporal growth in generic systems, which stems from the underlying…

统计力学 · 物理学 2020-10-13 Arkadiusz Kosior , Markus Heyl

Recent numerical advances in the field of strongly correlated electron systems allow the calculation of the entanglement spectrum and entropies for interacting fermionic systems. An explicit determination of the entanglement (modular)…

强关联电子 · 物理学 2018-11-16 Francesco Parisen Toldin , Fakher F. Assaad