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Entanglement exhibits universal behavior near the ground-state critical point where correlations are long-ranged and the thermodynamic entropy is vanishing. On the other hand, a quantum quench imparts extensive energy and results in a…

量子气体 · 物理学 2022-02-11 Sanku Paul , Paraj Titum , Mohammad F. Maghrebi

We investigate sudden quenches across the critical point in the transverse field Ising chain with a perturbing non-integrable next-nearest-neighbour interaction. Expressions for the return (Loschmidt) amplitude and associated rate function…

统计力学 · 物理学 2015-06-22 Johannes Kriel , Christoph Karrasch , Stefan Kehrein

Non-equilibrium time evolution in isolated many-body quantum systems generally results in thermalization. However, the relaxation process can be very slow, and quasi-stationary non-thermal plateaux are often observed at intermediate times.…

统计力学 · 物理学 2017-07-06 Vincenzo Alba , Maurizio Fagotti

We use entanglement witnesses related to the entanglement negativity of the state to detect entanglement in the $XY$ chain in the postquench states in the thermodynamic limit after a quench when the parameters of the Hamiltonian are changed…

量子物理 · 物理学 2025-01-07 Ferenc Iglói , Csaba Király

In integrable many-particle systems, it is widely believed that the stationary state reached at late times after a quantum quench can be described by a generalized Gibbs ensemble (GGE) constructed from their extensive number of conserved…

After a quench in a quantum many-body system, expectation values tend to relax towards long-time averages. However, in any finite-size system, temporal fluctuations remain. It is crucial to study the suppression of these fluctuations with…

统计力学 · 物理学 2017-04-05 Thomas Kiendl , Florian Marquardt

Integrable systems offer rare examples of solvable many-body problems in the quantum world. Due to the fine-tuned structure, their realization in nature and experiment is never completely accurate, therefore effects of integrability are…

统计力学 · 物理学 2024-07-24 Iris Ulčakar , Zala Lenarčič

After a quantum quench, the integrable system is expected to relax to a non-thermal equilibrium state (NTES) whose local properties are believed to be governed by a generalized Gibbs ensemble (GGE). Combining quench action and the form…

量子物理 · 物理学 2026-01-13 Yang-Yang Chen , Song Cheng

We study the dynamics and the resulting state after relaxation in a quasi-disordered integrable lattice system after a sudden quench. Specifically, we consider hard-core bosons in an isolated one-dimensional geometry in the presence of a…

统计力学 · 物理学 2012-11-19 Christian Gramsch , Marcos Rigol

We consider time evolution in models close to integrable points with hidden symmetries that generate infinitely many local conservation laws that do not commute with one another. The system is expected to (locally) relax to a thermal…

统计力学 · 物理学 2015-07-14 Bruno Bertini , Maurizio Fagotti

We study the non-equilibrium dynamics of an isolated bipartite quantum system, the sunburst quantum Ising model, under interaction quench. The pre-quench limit of this model is two non-interacting integrable systems, namely a transverse…

量子物理 · 物理学 2024-02-01 Akash Mitra , Shashi C. L. Srivastava

How quantum information is scrambled in the global degrees of freedom of non-equilibrium many-body systems is a key question to understand local thermalization. Here we propose that the scaling of the mutual information between two…

统计力学 · 物理学 2019-10-01 Vincenzo Alba , Pasquale Calabrese

We consider a quantum quench in a non-interacting fermionic one-dimensional field-theory. The system of size $L$ is initially prepared into two halves $\mathcal{L}$ ($[-L/2,0]$) and $\mathcal{R}$ ($[0,L/2]$), each of them thermalized at two…

统计力学 · 物理学 2014-10-23 Mario Collura , Dragi Karevski

We consider a quantum quench in the spin-1/2 Heisenberg XXZ chain. At late times after the quench it is believed that the expectation values of local operators approach time-independent values, that are described by a generalized Gibbs…

统计力学 · 物理学 2013-07-31 Maurizio Fagotti , Fabian H. L. Essler

We use quantum quenches to study the dynamics and thermalization of hardcore bosons in finite one-dimensional lattices. We perform exact diagonalizations and find that, far away from integrability, few-body observables thermalize. We then…

统计力学 · 物理学 2009-09-02 Marcos Rigol

We provide an overview of our numerical and analytical studies of isolated interacting quantum systems that are quenched out of equilibrium instantaneously. We describe the relaxation process to a new equilibrium and obtain lower bounds for…

统计力学 · 物理学 2016-04-04 E. J. Torres-Herrera , Davida Kollmar , Lea F. Santos

Entanglement and entropy are key concepts standing at the foundations of quantum and statistical mechanics, respectively. In the last decade the study of quantum quenches revealed that these two concepts are intricately intertwined.…

强关联电子 · 物理学 2017-08-21 Vincenzo Alba , Pasquale Calabrese

We consider an open system near a quantum critical point that is suddenly moved towards the critical point. The bath-dominated diffusive non-equilibrium dynamics after the quench is shown to follow scaling behavior, governed by a critical…

强关联电子 · 物理学 2015-03-11 Pia Gagel , Peter P. Orth , Jörg Schmalian

In weakly perturbed systems that are close to integrability, thermalization can be delayed by the formation of prethermalization plateaus. We study the build-up of density-density correlations after a weak interaction quench in the Hubbard…

强关联电子 · 物理学 2019-08-29 Manuel Kreye , Stefan Kehrein

We obtain exact results on interaction quenches in the 1D Bose gas described by the integrable Lieb-Liniger model. We show that in the long time limit integrability leads to significant deviations from the predictions of the grand canonical…

统计力学 · 物理学 2012-04-18 Marton Kormos , Aditya Shashi , Yang-Zhi Chou , Adilet Imambekov