Dynamical quantum phase transitions (Review Article)
During recent years the interest to dynamics of quantum systems has grown considerably. Quantum many body systems out of equilibrium often manifest behavior, different from the one predicted by standard statistical mechanics and thermodynamics in equilibrium. Since the dynamics of a many-body quantu...
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| Опубліковано в: : | Физика низких температур |
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| Дата: | 2016 |
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| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2016
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/129319 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Dynamical quantum phase transitions / A.A. Zvyagin // Физика низких температур. — 2016. — Т. 42, № 11. — С. 1240-1267. — Бібліогр.: 108 назв. — англ. |
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Zvyagin, A.A. 2018-01-18T18:16:02Z 2018-01-18T18:16:02Z 2016 Dynamical quantum phase transitions / A.A. Zvyagin // Физика низких температур. — 2016. — Т. 42, № 11. — С. 1240-1267. — Бібліогр.: 108 назв. — англ. 0132-6414 PACS: 05.30.Rt, 05.70.Ln, 03.65.Yz, 64.60.Ht,64.70.Tg,75.10.Jm https://nasplib.isofts.kiev.ua/handle/123456789/129319 During recent years the interest to dynamics of quantum systems has grown considerably. Quantum many body systems out of equilibrium often manifest behavior, different from the one predicted by standard statistical mechanics and thermodynamics in equilibrium. Since the dynamics of a many-body quantum system typically involve many excited eigenstates, with a non-thermal distribution, the time evolution of such a system provides an unique way for investigation of non-equilibrium quantum statistical mechanics. Last decade such new subjects like quantum quenches, thermalization, pre-thermalization, equilibration, generalized Gibbs ensemble, etc. are among the most attractive topics of investigation in modern quantum physics. One of the most interesting themes in the study of dynamics of quantum many-body systems out of equilibrium is connected with the recently proposed important concept of dynamical quantum phase transitions. During the last few years a great progress has been achieved in studying of those singularities in the time dependence of characteristics of quantum mechanical systems, in particular, in understanding how the quantum critical points of equilibrium thermodynamics affect their dynamical properties. Dynamical quantum phase transitions reveal universality, scaling, connection to the topology, and many other interesting features. Here we review the recent achievements of this quickly developing part of low-temperature quantum physics. The study of dynamical quantum phase transitions is especially important in context of their connection to the problem of the modern theory of quantum information, where namely non-equilibrium dynamics of many-body quantum system plays the major role. I thank M. Heyl for interesting discussions related to the nature of the dynamical quantum phase transitions. The support from the DFG via SFB1143 and from the Institute for Chemistry of V.N. Karazin Kharkov National University is acknowledged. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Физика низких температур К 30-летию открытия высокотемпературной сверхпроводимости Dynamical quantum phase transitions (Review Article) Article published earlier |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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| title |
Dynamical quantum phase transitions (Review Article) |
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Dynamical quantum phase transitions (Review Article) Zvyagin, A.A. К 30-летию открытия высокотемпературной сверхпроводимости |
| title_short |
Dynamical quantum phase transitions (Review Article) |
| title_full |
Dynamical quantum phase transitions (Review Article) |
| title_fullStr |
Dynamical quantum phase transitions (Review Article) |
| title_full_unstemmed |
Dynamical quantum phase transitions (Review Article) |
| title_sort |
dynamical quantum phase transitions (review article) |
| author |
Zvyagin, A.A. |
| author_facet |
Zvyagin, A.A. |
| topic |
К 30-летию открытия высокотемпературной сверхпроводимости |
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К 30-летию открытия высокотемпературной сверхпроводимости |
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2016 |
| language |
English |
| container_title |
Физика низких температур |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| format |
Article |
| description |
During recent years the interest to dynamics of quantum systems has grown considerably. Quantum many body systems out of equilibrium often manifest behavior, different from the one predicted by standard statistical mechanics and thermodynamics in equilibrium. Since the dynamics of a many-body quantum system typically involve many excited eigenstates, with a non-thermal distribution, the time evolution of such a system provides an unique way for investigation of non-equilibrium quantum statistical mechanics. Last decade such new subjects like quantum quenches, thermalization, pre-thermalization, equilibration, generalized Gibbs ensemble, etc. are among the most attractive topics of investigation in modern quantum physics. One of the most interesting themes in the study of dynamics of quantum many-body systems out of equilibrium is connected with the recently proposed important concept of dynamical quantum phase transitions. During the last few years a great progress has been achieved in studying of those singularities in the time dependence of characteristics of quantum mechanical systems, in particular, in understanding how the quantum critical points of equilibrium thermodynamics affect their dynamical properties. Dynamical quantum phase transitions reveal universality, scaling, connection to the topology, and many other interesting features. Here we review the recent achievements of this quickly developing part of low-temperature quantum physics. The study of dynamical quantum phase transitions is especially important in context of their connection to the problem of the modern theory of quantum information, where namely non-equilibrium dynamics of many-body quantum system plays the major role.
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| issn |
0132-6414 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/129319 |
| citation_txt |
Dynamical quantum phase transitions / A.A. Zvyagin // Физика низких температур. — 2016. — Т. 42, № 11. — С. 1240-1267. — Бібліогр.: 108 назв. — англ. |
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2025-12-01T11:05:54Z |
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1850860033600913408 |