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Title: Quantum-to-classical crossover near quantum critical point

Abstract

A quantum phase transition (QPT) is an inherently dynamic phenomenon. However, while non-dissipative quantum dynamics is described in detail, the question, that is not thoroughly understood is how the omnipresent dissipative processes enter the critical dynamics near a quantum critical point (QCP). Here we report a general approach enabling inclusion of both adiabatic and dissipative processes into the critical dynamics on the same footing. We reveal three distinct critical modes, the adiabatic quantum mode (AQM), the dissipative classical mode [classical critical dynamics mode (CCDM)], and the dissipative quantum critical mode (DQCM). We find that as a result of the transition from the regime dominated by thermal fluctuations to that governed by the quantum ones, the system acquires effective dimension d+z Lambda(T), where z is the dynamical exponent, and temperature-depending parameter.(T). [0, 1] decreases with the temperature such that.(T=0)=1 and Lambda(T ->infinity)=0. Our findings lead to a unified picture of quantum critical phenomena including both dissipation-and dissipationless quantum dynamic effects and offer a quantitative description of the quantum-to-classical crossover.

Authors:
 [1];  [2];  [3]
+ Show Author Affiliations
  1. Russian Academy of Sciences (RAS), Izhevsk (Russian Federation). Ural Branch; Russian Academy of Sciences (RAS), Moscow (Russian Federation)
  2. Russian Academy of Sciences (RAS), Moscow (Russian Federation)
  3. Argonne National Lab. (ANL), Argonne, IL (United States)
Publication Date:
Research Org.:
Argonne National Laboratory (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES); Russian Science Foundation
OSTI Identifier:
1258609
Alternate Identifier(s):
OSTI ID: 1352830
Grant/Contract Number:  
AC02-06CH11357
Resource Type:
Accepted Manuscript
Journal Name:
Scientific Reports
Additional Journal Information:
Journal Volume: 5; Journal ID: ISSN 2045-2322
Publisher:
Nature Publishing Group
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Vasin, M., Ryzhov, V., and Vinokur, V. M. Quantum-to-classical crossover near quantum critical point. United States: N. p., 2015. Web. doi:10.1038/srep18600.
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Vasin, M., Ryzhov, V., & Vinokur, V. M. Quantum-to-classical crossover near quantum critical point. United States. https://doi.org/10.1038/srep18600
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Vasin, M., Ryzhov, V., and Vinokur, V. M. Mon . "Quantum-to-classical crossover near quantum critical point". United States. https://doi.org/10.1038/srep18600. https://www.osti.gov/servlets/purl/1258609.
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@article{osti_1258609,
title = {Quantum-to-classical crossover near quantum critical point},
author = {Vasin, M. and Ryzhov, V. and Vinokur, V. M.},
abstractNote = {A quantum phase transition (QPT) is an inherently dynamic phenomenon. However, while non-dissipative quantum dynamics is described in detail, the question, that is not thoroughly understood is how the omnipresent dissipative processes enter the critical dynamics near a quantum critical point (QCP). Here we report a general approach enabling inclusion of both adiabatic and dissipative processes into the critical dynamics on the same footing. We reveal three distinct critical modes, the adiabatic quantum mode (AQM), the dissipative classical mode [classical critical dynamics mode (CCDM)], and the dissipative quantum critical mode (DQCM). We find that as a result of the transition from the regime dominated by thermal fluctuations to that governed by the quantum ones, the system acquires effective dimension d+z Lambda(T), where z is the dynamical exponent, and temperature-depending parameter.(T). [0, 1] decreases with the temperature such that.(T=0)=1 and Lambda(T ->infinity)=0. Our findings lead to a unified picture of quantum critical phenomena including both dissipation-and dissipationless quantum dynamic effects and offer a quantitative description of the quantum-to-classical crossover.},
doi = {10.1038/srep18600},
journal = {Scientific Reports},
number = ,
volume = 5,
place = {United States},
year = {Mon Dec 21 00:00:00 EST 2015},
month = {Mon Dec 21 00:00:00 EST 2015}
}
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https://doi.org/10.1038/srep18600
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