Quantumtoclassical crossover near quantum critical point
A quantum phase transition (QPT) is an inherently dynamic phenomenon. However, while nondissipative 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+zΛ(T), where z is the dynamical exponent, and temperaturedepending parameter Λ(T)ε[0, 1] decreases with the temperature such that Λ(T=0) = 1 and Λ(T →∞) = 0. Lastly, 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 quantumtoclassical crossover.
 Authors:

^{[1]};
^{[2]};
^{[3]}
 Russian Academy of Sciences (RAS), Izhevsk (Russian Federation). Ural Branch; Russian Academy of Sciences (RAS), Moscow (Russian Federation)
 Russian Academy of Sciences (RAS), Moscow (Russian Federation)
 Argonne National Lab. (ANL), Argonne, IL (United States)
 Publication Date:
 Grant/Contract Number:
 AC0206CH11357
 Type:
 Accepted Manuscript
 Journal Name:
 Scientific Reports
 Additional Journal Information:
 Journal Volume: 5; Journal ID: ISSN 20452322
 Publisher:
 Nature Publishing Group
 Research Org:
 Argonne National Lab. (ANL), Argonne, IL (United States)
 Sponsoring Org:
 USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC22); Russian Science Foundation
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
 OSTI Identifier:
 1258609
 Alternate Identifier(s):
 OSTI ID: 1352830
Vasin, M., Ryzhov, V., and Vinokur, V. M.. Quantumtoclassical crossover near quantum critical point. United States: N. p.,
Web. doi:10.1038/srep18600.
Vasin, M., Ryzhov, V., & Vinokur, V. M.. Quantumtoclassical crossover near quantum critical point. United States. doi:10.1038/srep18600.
Vasin, M., Ryzhov, V., and Vinokur, V. M.. 2015.
"Quantumtoclassical crossover near quantum critical point". United States.
doi:10.1038/srep18600. https://www.osti.gov/servlets/purl/1258609.
@article{osti_1258609,
title = {Quantumtoclassical 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 nondissipative 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+zΛ(T), where z is the dynamical exponent, and temperaturedepending parameter Λ(T)ε[0, 1] decreases with the temperature such that Λ(T=0) = 1 and Λ(T →∞) = 0. Lastly, 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 quantumtoclassical crossover.},
doi = {10.1038/srep18600},
journal = {Scientific Reports},
number = ,
volume = 5,
place = {United States},
year = {2015},
month = {12}
}