The two-state Bose-Hubbard model in the hard-core boson limit: Non-ergodicity and the Bose-Einstein condensation
The Bose-Einstein condensation in the hard-core boson limit (HCB) of the Bose-Hubbard model with two local states and the particle hopping in the excited band only is investigated. For the purpose of considering the non-ergodicity, a single-particle spectral density is calculated in the random phase...
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| Published in: | Condensed Matter Physics |
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| Date: | 2012 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут фізики конденсованих систем НАН України
2012
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/120796 |
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| Cite this: | The two-state Bose-Hubbard model in the hard-core boson limit: Non-ergodicity and the Bose-Einstein condensation / I.V. Stasyuk, O.V. Velychko// Condensed Matter Physics. — 2012. — Т. 15, № 3. — С. 33002:1-9. — Бібліогр.: 27 назв. — англ. |
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Stasyuk, I.V. Velychko, O.V. 2017-06-13T04:39:31Z 2017-06-13T04:39:31Z 2012 The two-state Bose-Hubbard model in the hard-core boson limit: Non-ergodicity and the Bose-Einstein condensation / I.V. Stasyuk, O.V. Velychko// Condensed Matter Physics. — 2012. — Т. 15, № 3. — С. 33002:1-9. — Бібліогр.: 27 назв. — англ. 1607-324X PACS: 03.75.Hh, 03.75.Lm, 64.70.Tg, 71.35.Lk, 37.10.Jk, 67.85.-d DOI:10.5488/CMP.15.33002 arXiv:1210.1424 https://nasplib.isofts.kiev.ua/handle/123456789/120796 The Bose-Einstein condensation in the hard-core boson limit (HCB) of the Bose-Hubbard model with two local states and the particle hopping in the excited band only is investigated. For the purpose of considering the non-ergodicity, a single-particle spectral density is calculated in the random phase approximation by means of the temperature boson Green functions. The non-ergodic contribution to the momentum distribution function of particles (connected with the static density fluctuations) increases significantly and becomes comparable with the ergodic contribution in the superfluid phase near the tricritical point. Дослiджується бозе-конденсацiя в границi жорстких бозонiв у моделi Бозе-Хаббарда з двома локальними станами при переносi бозонiв лише у збудженiй зонi. З метою врахування неергодичностi одночастинкову спектральну густину отримано в наближеннi хаотичних фаз за допомогою температурних бозонних функцiй Грiна. Неергодичний внесок до функцiї розподiлу частинок за iмпульсом (пов’язаний зi статичними флуктуацiями густини) суттєво наростає i стає спiвмiрним з ергодичною частиною в надплиннiй фазi бiля трикритичної точки. en Інститут фізики конденсованих систем НАН України Condensed Matter Physics The two-state Bose-Hubbard model in the hard-core boson limit: Non-ergodicity and the Bose-Einstein condensation Двостанова модель Бозе-Хаббарда в границi жорстких бозонiв: неергодичнiсть та бозе-конденсацiя Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
The two-state Bose-Hubbard model in the hard-core boson limit: Non-ergodicity and the Bose-Einstein condensation |
| spellingShingle |
The two-state Bose-Hubbard model in the hard-core boson limit: Non-ergodicity and the Bose-Einstein condensation Stasyuk, I.V. Velychko, O.V. |
| title_short |
The two-state Bose-Hubbard model in the hard-core boson limit: Non-ergodicity and the Bose-Einstein condensation |
| title_full |
The two-state Bose-Hubbard model in the hard-core boson limit: Non-ergodicity and the Bose-Einstein condensation |
| title_fullStr |
The two-state Bose-Hubbard model in the hard-core boson limit: Non-ergodicity and the Bose-Einstein condensation |
| title_full_unstemmed |
The two-state Bose-Hubbard model in the hard-core boson limit: Non-ergodicity and the Bose-Einstein condensation |
| title_sort |
two-state bose-hubbard model in the hard-core boson limit: non-ergodicity and the bose-einstein condensation |
| author |
Stasyuk, I.V. Velychko, O.V. |
| author_facet |
Stasyuk, I.V. Velychko, O.V. |
| publishDate |
2012 |
| language |
English |
| container_title |
Condensed Matter Physics |
| publisher |
Інститут фізики конденсованих систем НАН України |
| format |
Article |
| title_alt |
Двостанова модель Бозе-Хаббарда в границi жорстких бозонiв: неергодичнiсть та бозе-конденсацiя |
| description |
The Bose-Einstein condensation in the hard-core boson limit (HCB) of the Bose-Hubbard model with two local states and the particle hopping in the excited band only is investigated. For the purpose of considering the non-ergodicity, a single-particle spectral density is calculated in the random phase approximation by means of the temperature boson Green functions. The non-ergodic contribution to the momentum distribution function of particles (connected with the static density fluctuations) increases significantly and becomes comparable with the ergodic contribution in the superfluid phase near the tricritical point.
Дослiджується бозе-конденсацiя в границi жорстких бозонiв у моделi Бозе-Хаббарда з двома локальними станами при переносi бозонiв лише у збудженiй зонi. З метою врахування неергодичностi одночастинкову спектральну густину отримано в наближеннi хаотичних фаз за допомогою температурних бозонних функцiй Грiна. Неергодичний внесок до функцiї розподiлу частинок за iмпульсом (пов’язаний зi статичними флуктуацiями густини) суттєво наростає i стає спiвмiрним з ергодичною частиною в надплиннiй фазi бiля трикритичної точки.
|
| issn |
1607-324X |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/120796 |
| citation_txt |
The two-state Bose-Hubbard model in the hard-core boson limit: Non-ergodicity and the Bose-Einstein condensation / I.V. Stasyuk, O.V. Velychko// Condensed Matter Physics. — 2012. — Т. 15, № 3. — С. 33002:1-9. — Бібліогр.: 27 назв. — англ. |
| work_keys_str_mv |
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| first_indexed |
2025-12-07T19:56:32Z |
| last_indexed |
2025-12-07T19:56:32Z |
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