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Title: Universal Dynamics of Inhomogeneous Quantum Phase Transitions: Suppressing Defect Formation

Abstract

In the nonadiabatic dynamics across a quantum phase transition, the Kibble-Zurek mechanism predicts that the formation of topological defects is suppressed as a universal power law with the quench time. In inhomogeneous systems, the critical point is reached locally and causality reduces the effective system size for defect formation to regions where the velocity of the critical front is slower than the sound velocity, favoring adiabatic dynamics. The reduced density of excitations exhibits a much steeper dependence on the quench rate and is also described by a universal power-law, that we demonstrated in a quantum Ising chain.

Authors:
 [1];  [2]
  1. Univ. de los Andes, Bogotá, D.C. (Colombia). Dept. de Física; Univ. of Massachusetts, Amherst, MA (United States). Dept. of Physics
  2. Donostia International Physics Center, San Sebastián (Spain); IKERBASQUE, Basque Foundation for Science, Bilbao (Spain); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1511612
Report Number(s):
LA-UR-18-28925
Journal ID: ISSN 0031-9007; PRLTAO
Grant/Contract Number:  
89233218CNA000001
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 122; Journal Issue: 8; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Gomez-Ruiz, F.J., and Del Campo, Adolfo. Universal Dynamics of Inhomogeneous Quantum Phase Transitions: Suppressing Defect Formation. United States: N. p., 2019. Web. doi:10.1103/PhysRevLett.122.080604.
Gomez-Ruiz, F.J., & Del Campo, Adolfo. Universal Dynamics of Inhomogeneous Quantum Phase Transitions: Suppressing Defect Formation. United States. doi:10.1103/PhysRevLett.122.080604.
Gomez-Ruiz, F.J., and Del Campo, Adolfo. Fri . "Universal Dynamics of Inhomogeneous Quantum Phase Transitions: Suppressing Defect Formation". United States. doi:10.1103/PhysRevLett.122.080604.
@article{osti_1511612,
title = {Universal Dynamics of Inhomogeneous Quantum Phase Transitions: Suppressing Defect Formation},
author = {Gomez-Ruiz, F.J. and Del Campo, Adolfo},
abstractNote = {In the nonadiabatic dynamics across a quantum phase transition, the Kibble-Zurek mechanism predicts that the formation of topological defects is suppressed as a universal power law with the quench time. In inhomogeneous systems, the critical point is reached locally and causality reduces the effective system size for defect formation to regions where the velocity of the critical front is slower than the sound velocity, favoring adiabatic dynamics. The reduced density of excitations exhibits a much steeper dependence on the quench rate and is also described by a universal power-law, that we demonstrated in a quantum Ising chain.},
doi = {10.1103/PhysRevLett.122.080604},
journal = {Physical Review Letters},
number = 8,
volume = 122,
place = {United States},
year = {2019},
month = {3}
}

Journal Article:
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This content will become publicly available on March 1, 2020
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