Space and time renormalization in phase transition dynamics
Abstract
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:
-
- Instytut Fizyki Uniwersytetu Jagiellonskiego, Krakow (Poland); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Instytut Fizyki Uniwersytetu Jagiellonskiego, Krakow (Poland)
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Univ. of Silesia, Katowice (Poland)
- 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:
- 1255132
- Alternate Identifier(s):
- OSTI ID: 1238393
- Report Number(s):
- LA-UR-15-28631
Journal ID: ISSN 2469-9950; PRBMDO
- Grant/Contract Number:
- DEC-2013/09/B/ST3/01603; AC52-06NA25396
- Resource Type:
- Journal Article: 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)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 74 ATOMIC AND MOLECULAR PHYSICS
Citation Formats
Francuz, Anna, Dziarmaga, Jacek, Gardas, Bartłomiej, and Zurek, Wojciech H. Space and time renormalization in phase transition dynamics. United States: N. p., 2016.
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. https://doi.org/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. https://doi.org/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},
url = {https://www.osti.gov/biblio/1255132},
journal = {Physical Review B},
issn = {2469-9950},
number = 7,
volume = 93,
place = {United States},
year = {Thu Feb 18 00:00:00 EST 2016},
month = {Thu Feb 18 00:00:00 EST 2016}
}
Web of Science
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