eprintid: 1333466
rev_number: 31
eprint_status: archive
userid: 608
dir: disk0/01/33/34/66
datestamp: 2011-12-16 19:44:10
lastmod: 2021-12-03 23:18:52
status_changed: 2014-04-04 08:57:58
type: article
metadata_visibility: show
item_issues_count: 0
creators_name: Pollmann, F
creators_name: Mukerjee, S
creators_name: Green, AG
creators_name: Moore, JE
title: Dynamics after a sweep through a quantum critical point
ispublished: pub
divisions: UCL
divisions: B04
divisions: C06
divisions: F64
note: © APS 2010
abstract: The coherent quantum evolution of a one-dimensional many-particle system after slowly sweeping the Hamiltonian through a critical point is studied using a generalized quantum Ising model containing both integrable and nonintegrable regimes. It is known from previous work that universal power laws of the sweep rate appear in such quantities as the mean number of excitations created by the sweep. Several other phenomena are found that are not reflected by such averages: there are two different scaling behaviors of the entanglement entropy and a relaxation that is power law in time rather than exponential. The final state of evolution after the quench is not characterized by any effective temperature, and the Loschmidt echo converges algebraically for long times, with cusplike singularities in the integrable case that are dynamically broadened by nonintegrable perturbations.
date: 2010-02
publisher: AMER PHYSICAL SOC
official_url: http://dx.doi.org/10.1103/PhysRevE.81.020101
vfaculties: VMPS
oa_status: green
full_text_type: other
language: eng
primo: open
primo_central: open_green
article_type_text: Article
verified: verified_manual
elements_source: Web of Science
elements_id: 355261
doi: 10.1103/PhysRevE.81.020101
language_elements: EN
lyricists_name: Green, Andrew
lyricists_id: AGGRE15
full_text_status: public
publication: Physical Review E
volume: 81
number: 2
article_number: 020101
issn: 1539-3755
citation:        Pollmann, F;    Mukerjee, S;    Green, AG;    Moore, JE;      (2010)    Dynamics after a sweep through a quantum critical point.                   Physical Review E , 81  (2)    , Article 020101.  10.1103/PhysRevE.81.020101 <https://doi.org/10.1103/PhysRevE.81.020101>.       Green open access   
 
document_url: https://discovery-pp.ucl.ac.uk/id/eprint/1333466/1/0907.3206v3.pdf