Non-equilibrium quantum dynamics after local quenches

Uma Divakaran, F. Iglói, Heiko Rieger

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

We study the quantum dynamics resulting from preparing a one-dimensional quantum system in the ground state of initially two decoupled parts which are then joined together (local quench). Specifically we focus on the transverse-field Ising chain and compute the time dependence of the magnetization profile, ml(t), and correlation functions at the critical point, in the ferromagnetically ordered phase and in the paramagnetic phase. At the critical point we find finite-size scaling forms for the non-equilibrium magnetization and compare predictions of conformal field theory with our numerical results. In the ferromagnetic phase the magnetization profiles are well matched by predictions from a quasi-classical calculation that we describe.

Original languageEnglish
Article numberP10027
JournalJournal of Statistical Mechanics: Theory and Experiment
Volume2011
Issue number10
DOIs
Publication statusPublished - Oct 2011

Fingerprint

Nonequilibrium Dynamics
Quantum Dynamics
Magnetization
magnetization
Critical point
critical point
Prediction
One-dimensional System
Conformal Field Theory
Finite-size Scaling
Time Dependence
profiles
predictions
Ising
Quantum Systems
Non-equilibrium
time dependence
Ground State
Correlation Function
Transverse

Keywords

  • conformal field theory (theory)
  • ladders and planes (theory)
  • quantum phase transitions (theory)
  • spin chains

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistical and Nonlinear Physics
  • Statistics, Probability and Uncertainty

Cite this

Non-equilibrium quantum dynamics after local quenches. / Divakaran, Uma; Iglói, F.; Rieger, Heiko.

In: Journal of Statistical Mechanics: Theory and Experiment, Vol. 2011, No. 10, P10027, 10.2011.

Research output: Contribution to journalArticle

@article{991246b64e4a48598b6b2115ed75b94e,
title = "Non-equilibrium quantum dynamics after local quenches",
abstract = "We study the quantum dynamics resulting from preparing a one-dimensional quantum system in the ground state of initially two decoupled parts which are then joined together (local quench). Specifically we focus on the transverse-field Ising chain and compute the time dependence of the magnetization profile, ml(t), and correlation functions at the critical point, in the ferromagnetically ordered phase and in the paramagnetic phase. At the critical point we find finite-size scaling forms for the non-equilibrium magnetization and compare predictions of conformal field theory with our numerical results. In the ferromagnetic phase the magnetization profiles are well matched by predictions from a quasi-classical calculation that we describe.",
keywords = "conformal field theory (theory), ladders and planes (theory), quantum phase transitions (theory), spin chains",
author = "Uma Divakaran and F. Igl{\'o}i and Heiko Rieger",
year = "2011",
month = "10",
doi = "10.1088/1742-5468/2011/10/P10027",
language = "English",
volume = "2011",
journal = "Journal of Statistical Mechanics: Theory and Experiment",
issn = "1742-5468",
publisher = "IOP Publishing Ltd.",
number = "10",

}

TY - JOUR

T1 - Non-equilibrium quantum dynamics after local quenches

AU - Divakaran, Uma

AU - Iglói, F.

AU - Rieger, Heiko

PY - 2011/10

Y1 - 2011/10

N2 - We study the quantum dynamics resulting from preparing a one-dimensional quantum system in the ground state of initially two decoupled parts which are then joined together (local quench). Specifically we focus on the transverse-field Ising chain and compute the time dependence of the magnetization profile, ml(t), and correlation functions at the critical point, in the ferromagnetically ordered phase and in the paramagnetic phase. At the critical point we find finite-size scaling forms for the non-equilibrium magnetization and compare predictions of conformal field theory with our numerical results. In the ferromagnetic phase the magnetization profiles are well matched by predictions from a quasi-classical calculation that we describe.

AB - We study the quantum dynamics resulting from preparing a one-dimensional quantum system in the ground state of initially two decoupled parts which are then joined together (local quench). Specifically we focus on the transverse-field Ising chain and compute the time dependence of the magnetization profile, ml(t), and correlation functions at the critical point, in the ferromagnetically ordered phase and in the paramagnetic phase. At the critical point we find finite-size scaling forms for the non-equilibrium magnetization and compare predictions of conformal field theory with our numerical results. In the ferromagnetic phase the magnetization profiles are well matched by predictions from a quasi-classical calculation that we describe.

KW - conformal field theory (theory)

KW - ladders and planes (theory)

KW - quantum phase transitions (theory)

KW - spin chains

UR - http://www.scopus.com/inward/record.url?scp=80155212249&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=80155212249&partnerID=8YFLogxK

U2 - 10.1088/1742-5468/2011/10/P10027

DO - 10.1088/1742-5468/2011/10/P10027

M3 - Article

VL - 2011

JO - Journal of Statistical Mechanics: Theory and Experiment

JF - Journal of Statistical Mechanics: Theory and Experiment

SN - 1742-5468

IS - 10

M1 - P10027

ER -