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Motivated by applications in background-independent quantum gravity, we discuss the quantization of labeled and unlabeled finite multigraphs with a maximum edge count. We provide a unified way to represent quantum multigraphs with labeled…

数学物理 · 物理学 2025-09-11 Kassahun H. Betre , Nathan Lewis

We study the non-equilibrium dynamics of the Luttinger model after suddenly turning on and off the bare Coulomb interaction between the fermions. We analyze several correlation functions such as the one particle density matrix and vertex…

强关联电子 · 物理学 2015-06-12 N. Nessi , A. Iucci

The relaxation of uniform quantum systems with finite-range interactions after a quench is generically driven by the ballistic propagation of long-lived quasi-particle excitations triggered by a sufficiently small quench. Here we…

量子气体 · 物理学 2018-02-07 Irénée Frérot , Piero Naldesi , Tommaso Roscilde

We study equilibration properties of observables in long-range field theories after the mass quench in $d=1,2$ and $3$ dimensions. We classify the regimes where we expect equilibration or its absence in different dimensions. In addition we…

强关联电子 · 物理学 2015-03-31 M. A. Rajabpour , S. Sotiriadis

We study work extraction (defined as the difference between the initial and the final energy) in noninteracting and (effectively) weakly interacting isolated fermionic quantum lattice systems in one dimension, which undergo a sequence of…

统计力学 · 物理学 2017-07-05 Ranjan Modak , Marcos Rigol

We analyze the free energy and construct the Gibbs-KMS states for a class of quantum lattice systems, at low temperatures and when the interactions are almost diagonal in a suitable basis. We study systems with continuous symmetry, but our…

数学物理 · 物理学 2009-10-31 J. Froehlich , L. Rey-Bellet , D. Ueltschi

We study quench dynamics of the Bose-Hubbard model by exact diagonalization. Initially the system is at thermal equilibrium and of a finite temperature. The system is then quenched by changing the on-site interaction strength $U$ suddenly.…

统计力学 · 物理学 2011-06-21 J. M. Zhang , C. Shen , W. M. Liu

We investigate the out-of-equilibrium dynamics of the one-dimensional quantum Ising model after a sudden quench of the transverse magnetic field. While for a translationally invariant system the statistical description of the asymptotic…

统计力学 · 物理学 2015-03-19 Tommaso Caneva , Elena Canovi , Davide Rossini , Giuseppe E. Santoro , Alessandro Silva

Using the time-dependent density matrix renormalization group method and exact diagonalization, we study the non-equilibrium dynamics of the one-dimensional Fermi-Hubbard model following a quantum quench or a ramp of the onsite interaction…

量子气体 · 物理学 2015-04-29 L. Riegger , G. Orso , F. Heidrich-Meisner

After a quench, observables in an integrable system may not relax to the standard thermal values, but can relax to the ones predicted by the generalized Gibbs ensemble (GGE) [M. Rigol et al., Phys. Rev. Lett. 98, 050405 (2007)]. The GGE has…

统计力学 · 物理学 2011-04-18 Amy C. Cassidy , Charles W. Clark , Marcos Rigol

In his Comment [see preceding Comment, Phys. Rev. A 82, 037601 (2010)] on the paper by Roux [Phys. Rev. A 79, 021608(R) (2009)], Rigol argued that the energy distribution after a quench is not related to standard statistical ensembles and…

量子气体 · 物理学 2010-11-02 Guillaume Roux

Particle entanglement provides information on quantum correlations in systems of indistinguishable particles. Here, we study the one particle entanglement entropy for an integrable model of spinless, interacting fermions both at equilibrium…

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 study the effect of suddenly turning on a long-range interaction in a spinless Fermi gas in two dimensions. The short to intermediate time dynamics is obtained using the method of bosonization of the Fermi surface. This allow to…

量子气体 · 物理学 2014-11-21 N. Nessi , A. Iucci , M. A. Cazalilla

Quenches are now routinely used in synthetic quantum systems to study a variety of fundamental effects, including ergodicity breaking, light-cone-like spreading of information, and dynamical phase transitions. It was shown recently that the…

量子气体 · 物理学 2020-01-10 Louis Villa , Julien Despres , Laurent Sanchez-Palencia

By exploring a phase space hydrodynamics description of one-dimensional free Fermi gas, we discuss how systems settle down to steady states described by the generalized Gibbs ensembles through quantum quenches. We investigate time…

统计力学 · 物理学 2018-10-23 Manas Kulkarni , Gautam Mandal , Takeshi Morita

A sudden change of the Hamiltonian parameter drives a quantum system out of equilibrium. For a finite-size system, expectations of observables start fluctuating in time without converging to a precise limit. A new equilibrium state emerges…

量子物理 · 物理学 2013-03-21 Lorenzo Campos Venuti , Paolo Zanardi

We begin a systematic investigation of quench dynamics in higher-dimensional lattice systems considering the case of non-interacting fermions with conserved particle number. We prepare the system in a translational-invariant non-equilibrium…

量子物理 · 物理学 2024-06-28 Molly Gibbins , Arash Jafarizadeh , Adam Gammon-Smith , Bruno Bertini

The (Loschmidt) overlap between the state at different times after a quantum quench is attracting increasing interest, as it was recently shown that in the thermodynamic limit its logarithm per unit of length has a non-analytic behavior if…

统计力学 · 物理学 2013-09-09 Maurizio Fagotti

We investigate finite size effects in quantum quenches on the basis of simple energetic arguments. Distinguishing between the low-energy part of the excitation spectrum, below a microscopic energy-scale, and the high-energy regime enables…

量子气体 · 物理学 2010-05-21 Guillaume Roux