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We investigate the nonequilibrium dynamics of a groundstate fermionic many body gas subjected to a quench between parameter regimes of a topologically nontrivial Hamiltonian. By focusing on the role of the chiral edge states inherent to the…

量子物理 · 物理学 2024-12-04 Sarika Sasidharan Nair , Giedrius Žlabys , Wen-Bin He , Thomás Fogarty , Thomas Busch

In analytic descriptions of quantum quenches, the overlaps between the initial pre-quench state and the eigenstates of the time evolving Hamiltonian are crucial ingredients. We construct perturbative expansions of these overlaps in quantum…

统计力学 · 物理学 2019-09-04 Kristóf Hódsági , Márton Kormos , Gábor Takács

The dynamics of the Luttinger model after a quantum quench is studied. We compute in detail one and two-point correlation functions for two types of quenches: from a non-interacting to an interacting Luttinger model and vice-versa. In the…

量子气体 · 物理学 2010-03-29 A. Iucci , M. A. Cazalilla

The quantum dynamics of interacting many-body systems has become a unique venue for the realization of novel states of matter. Here we unveil a new class of nonequilibrium states that are eigenstates of an emergent local Hamiltonian. The…

统计力学 · 物理学 2017-04-27 L. Vidmar , D. Iyer , M. Rigol

Considering any Hamiltonian, any initial state, and measurements with a small number of possible outcomes compared to the dimension, we show that most measurements are already equilibrated. To investigate non-trivial equilibration we…

When a quantum many-body system undergoes a quench, the time-averaged density-matrix $\rho$ governs the time-averaged expectation value of any observable. It is therefore the key object to look at when comparing results with equilibrium…

强关联电子 · 物理学 2009-03-01 Guillaume Roux

We present a non-equilibrium Green's functional approach to study the dynamics following a quench in weakly interacting Bose Hubbard model (BHM). The technique is based on the self-consistent solution of a set of equations which represents…

量子气体 · 物理学 2016-11-22 N. Lo Gullo , L. Dell'Anna

We investigate the nonequilibrium dynamics of the one-dimension Aubry-Andr\'{e}-Harper model with $p$-wave superconductivity by changing the potential strength with slow and sudden quench. Firstly, we study the slow quench dynamics from…

无序系统与神经网络 · 物理学 2021-03-17 Xianqi Tong , Yeming Meng , Xunda Jiang , Chaohong Lee , Gentil Dias de Moraes Neto , Gao Xianlong

An exactly soluble non-linear interaction Hamiltonian is proposed to study fundamental properties of the entanglement dynamics for a coupled non-linear oscillators. The time-evolved state is obtained analytically for initial products of two…

量子物理 · 物理学 2007-05-23 L. Sanz , R. M. Angelo , K. Furuya

We consider the quantum quench in the XX spin chain starting from a tilted N\'eel state which explicitly breaks the $U(1)$ symmetry of the post-quench Hamiltonian. Very surprisingly, the $U(1)$ symmetry is not restored at large time because…

统计力学 · 物理学 2023-09-06 Filiberto Ares , Sara Murciano , Eric Vernier , Pasquale Calabrese

The interplay between symmetries and entanglement in out-of-equilibrium quantum systems is currently at the centre of an intense multidisciplinary research effort. Here we introduce a setting where these questions can be characterised…

统计力学 · 物理学 2025-02-07 Alessandro Foligno , Pasquale Calabrese , Bruno Bertini

We use a Hamiltonian dynamics to discuss the statistical mechanics of long-lasting quasi-stationary states particularly relevant for long-range interacting systems. Despite the presence of an anomalous single-particle velocity distribution,…

统计力学 · 物理学 2009-11-11 Fulvio Baldovin , Enzo Orlandini

We provide numerical evidence that after a local quench in an isolated infinite quantum spin chain, the quantum state locally relaxes to the ground state of the post-quenched Hamiltonian, i.e. dissipates. This is a consequence of the…

统计力学 · 物理学 2020-10-05 Yantao Wu

The effect of interactions on a system of fermions that are in a non-equilibrium steady state due to a quantum quench is studied employing the random-phase-approximation (RPA). As a result of the quench, the distribution function of the…

强关联电子 · 物理学 2015-05-28 Jarrett Lancaster , Thierry Giamarchi , Aditi Mitra

In how far does an non-equilibrium initial ensemble evolve towards a stationary long time behavior for an isolated macroscopic quantum system? We demonstrate that deviations from a steady state indeed become unmeasurably small or…

统计力学 · 物理学 2012-10-23 Peter Reimann

We consider the non-equilibrium dynamics arising after a quench of the transverse magnetic field of a quantum Ising chain, together with the sudden switch-on of a long-range interaction term. The dynamics after the quantum quench is mapped…

统计力学 · 物理学 2016-12-21 M. Marcuzzi , J. Marino , A. Gambassi , A. Silva

We consider the one-dimensional $XX$-model in a quasi-periodic transverse-field described by the Harper potential, which is equivalent to a tight-binding model of spinless fermions with a quasi-periodic chemical potential. For weak…

无序系统与神经网络 · 物理学 2014-11-26 Gergö Roósz , Uma Divakaran , Heiko Rieger , Ferenc Iglói

The accurate description and robust computational modeling of the nonequilibrium properties of quantum systems remain a challenge in condensed matter physics. In this work, we develop a linear-scale computational simulation technique for…

无序系统与神经网络 · 物理学 2024-02-23 Niaz Ali Khan , Wen Chen , Munsif Jan , Gao Xianlong

The large-scale properties of homogeneous states after quantum quenches in integrable systems have been successfully described by a semiclassical picture of moving quasiparticles. Here we consider the generalisation for the entanglement…

统计力学 · 物理学 2018-09-18 Bruno Bertini , Maurizio Fagotti , Lorenzo Piroli , Pasquale Calabrese

We study long-time dynamics of a bosonic system after suddenly switching on repulsive delta-like interactions. As initial states, we consider two experimentally relevant configurations: a rotating BEC and two counter-propagating BECs with…

量子气体 · 物理学 2016-09-06 Leda Bucciantini