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We analyze fermions after an interaction quantum quench in one spatial dimension and study the growth of the steady state entanglement entropy density under either a spatial mode or particle bipartition. For integrable lattice models, we…

统计力学 · 物理学 2021-11-15 Adrian Del Maestro , Hatem Barghathi , Bernd Rosenow

Following a sudden change of interactions in an integrable system of one-dimensional fermions, we analyze the dependence of the static structure factor on the observation time after the quantum quench. At small waiting times after the…

统计力学 · 物理学 2022-05-06 Adrian Del Maestro , Hatem Barghathi , Bernd Rosenow

Entanglement entropy under a particle bipartition provides complementary information to mode entanglement as it is sensitive to interactions and particle statistics at leading order and does not depend on any externally imposed length…

The time evolution of the entanglement entropy in non-equilibrium quantum systems provides crucial information about the structure of the time-dependent state. For quantum quench protocols, by combining a quasiparticle picture for the…

统计力学 · 物理学 2018-03-30 Vincenzo Alba , Pasquale Calabrese

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

Using the adaptive time-dependent density-matrix renormalization group method, we study the time evolution of strongly correlated spinless fermions on a one-dimensional lattice after a sudden change of the interaction strength. For certain…

其他凝聚态物理 · 物理学 2007-06-13 S. R. Manmana , S. Wessel , R. M. Noack , A. Muramatsu

We consider spinless fermions on a finite one-dimensional lattice, interacting via nearest-neighbor repulsion and subject to a strong electric field. In the non-interacting case, due to Wannier-Stark localization, the single-particle wave…

无序系统与神经网络 · 物理学 2019-03-20 M. Schulz , C. A. Hooley , R. Moessner , F. Pollmann

In this PhD thesis we investigate some properties of one-dimensional quantum systems, focusing on two important aspects of integrable models: Their entanglement properties at equilibrium and their dynamical correlators after a quantum…

统计力学 · 物理学 2013-03-13 Stefano Evangelisti

The ground-state entanglement of a single particle of the N-harmonium system (i.e., a completely-integrable model of $N$ particles where both the confinement and the two-particle interaction are harmonic) is shown to be analytically…

量子物理 · 物理学 2014-09-30 C. L. Benavides-Riveros , I. V. Toranzo , J. S. Dehesa

We study the evolution from few- to many-body physics of fermionic systems in one spatial dimension with attractive pairwise interactions. We determine the detailed form of the momentum distribution, the structure of the one-body density…

量子气体 · 物理学 2017-10-05 Lukas Rammelmüller , William J. Porter , Jens Braun , Joaquín Drut

A typical working condition in the study of quantum quenches is that the initial state produces a distribution of quasiparticle excitations with an opposite-momentum-pair structure. In this work we investigate the dynamical and stationary…

统计力学 · 物理学 2018-07-05 Bruno Bertini , Elena Tartaglia , Pasquale Calabrese

We investigate a quantum quench from a critical to an exceptional point. The initial state, prepared in the ground state of a critical hermitian system, is time evolved with a non-hermitian SSH model, tuned to its exceptional point. The…

强关联电子 · 物理学 2021-02-26 Ádám Bácsi , Balázs Dóra

Understanding the non-equilibrium dynamics of extended quantum systems after the trigger of a sudden, global perturbation (quench) represents a daunting challenge, especially in the presence of interactions. The main difficulties stem from…

强关联电子 · 物理学 2009-11-13 Alexandre Faribault , Pasquale Calabrese , Jean-Sebastien Caux

Quantum entanglement may have various origins ranging from solely interaction-driven quantum correlations to single-particle effects. Here, we explore the dependence of entanglement on time-dependent single-particle basis transformations in…

强关联电子 · 物理学 2019-08-28 Lorenzo Pastori , Markus Heyl , Jan Carl Budich

We study the time evolution of the R\'enyi entanglement entropies following a quantum quench in a two-dimensional (2D) free-fermion system. By employing dimensional reduction, we effectively transform the 2D problem into decoupled chains, a…

统计力学 · 物理学 2023-10-30 Shion Yamashika , Filiberto Ares , Pasquale Calabrese

Entanglement in fermion many-body systems is studied using a generalized definition of separability based on partitions of the set of observables, rather than on particle tensor products. In this way, the characterizing properties of…

量子物理 · 物理学 2014-03-20 F. Benatti , R. Floreanini , U. Marzolino

We analyze the problem of quantifying entanglement in pure and mixed states of fermionic systems with fixed number parity yet not necessarily fixed particle number. The "mode entanglement" between one single-particle level and its…

量子物理 · 物理学 2015-11-02 N. Gigena , R. Rossignoli

Charge and energy fractionalization are among the most intriguing features of interacting onedimensional fermion systems. In this work we determine how these phenomena are modified in the presence of an interaction quench. Charge and energy…

强关联电子 · 物理学 2017-02-02 Alessio Calzona , Filippo Maria Gambetta , Matteo Carrega , Fabio Cavaliere , Maura Sassetti

Entanglement is the crucial ingredient of quantum many-body physics, and characterizing and quantifying entanglement in closed system dynamics of quantum simulators is an outstanding challenge in today's era of intermediate scale quantum…

量子物理 · 物理学 2021-08-31 Christian Kokail , Rick van Bijnen , Andreas Elben , Benoît Vermersch , Peter Zoller

We follow the emergence of quantum entanglement in a scattering event between two initially uncorrelated distinguishable quantum particles interacting via a delta potential. We calculate the time dependence of the Neumann entropy of the…

量子物理 · 物理学 2015-05-30 Mihaly G. Benedict , Judit Kovacs , Attila Czirjak
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