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Title: Space and time renormalization in phase transition dynamics

Here, when a system is driven across a quantum critical point at a constant rate, its evolution must become nonadiabatic as the relaxation time τ diverges at the critical point. According to the Kibble-Zurek mechanism (KZM), the emerging post-transition excited state is characterized by a finite correlation length ξˆ set at the time tˆ=τˆ when the critical slowing down makes it impossible for the system to relax to the equilibrium defined by changing parameters. This observation naturally suggests a dynamical scaling similar to renormalization familiar from the equilibrium critical phenomena. We provide evidence for such KZM-inspired spatiotemporal scaling by investigating an exact solution of the transverse field quantum Ising chain in the thermodynamic limit.
Authors:
 [1] ;  [2] ;  [3] ;  [4]
  1. Instytut Fizyki Uniwersytetu Jagiellonskiego, Krakow (Poland); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Instytut Fizyki Uniwersytetu Jagiellonskiego, Krakow (Poland)
  3. Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Univ. of Silesia, Katowice (Poland)
  4. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Report Number(s):
LA-UR-15-28631
Journal ID: ISSN 2469-9950; PRBMDO
Grant/Contract Number:
DEC-2013/09/B/ST3/01603; AC52-06NA25396
Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 93; Journal Issue: 7; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Research Org:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org:
USDOE
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS
OSTI Identifier:
1255132
Alternate Identifier(s):
OSTI ID: 1238393

Francuz, Anna, Dziarmaga, Jacek, Gardas, Bartłomiej, and Zurek, Wojciech H. Space and time renormalization in phase transition dynamics. United States: N. p., Web. doi:10.1103/PhysRevB.93.075134.
Francuz, Anna, Dziarmaga, Jacek, Gardas, Bartłomiej, & Zurek, Wojciech H. Space and time renormalization in phase transition dynamics. United States. doi:10.1103/PhysRevB.93.075134.
Francuz, Anna, Dziarmaga, Jacek, Gardas, Bartłomiej, and Zurek, Wojciech H. 2016. "Space and time renormalization in phase transition dynamics". United States. doi:10.1103/PhysRevB.93.075134. https://www.osti.gov/servlets/purl/1255132.
@article{osti_1255132,
title = {Space and time renormalization in phase transition dynamics},
author = {Francuz, Anna and Dziarmaga, Jacek and Gardas, Bartłomiej and Zurek, Wojciech H.},
abstractNote = {Here, when a system is driven across a quantum critical point at a constant rate, its evolution must become nonadiabatic as the relaxation time τ diverges at the critical point. According to the Kibble-Zurek mechanism (KZM), the emerging post-transition excited state is characterized by a finite correlation length ξˆ set at the time tˆ=τˆ when the critical slowing down makes it impossible for the system to relax to the equilibrium defined by changing parameters. This observation naturally suggests a dynamical scaling similar to renormalization familiar from the equilibrium critical phenomena. We provide evidence for such KZM-inspired spatiotemporal scaling by investigating an exact solution of the transverse field quantum Ising chain in the thermodynamic limit.},
doi = {10.1103/PhysRevB.93.075134},
journal = {Physical Review B},
number = 7,
volume = 93,
place = {United States},
year = {2016},
month = {2}
}