Effective Hamiltonian and excitation spectrum of harmonically trapped bosons
An approach is proposed to obtain an effective Hamiltonian of a harmonically trapped Bose-system. Such a Hamiltonian is quadratic in the creation–annihilation operators and certain approximations allow to simplify higher (three and four operator) products to the required form. After the Hamiltonia...
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| Veröffentlicht in: | Физика низких температур |
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| Datum: | 2016 |
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| Format: | Artikel |
| Sprache: | English |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2016
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| Zitieren: | Effective Hamiltonian and excitation spectrum of harmonically trapped bosons / A. Rovenchak // Физика низких температур. — 2016. — Т. 42, № 1. — С. 49–55. — Бібліогр.: 45 назв. — англ. |
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Rovenchak, A. 2018-01-09T15:39:26Z 2018-01-09T15:39:26Z 2016 Effective Hamiltonian and excitation spectrum of harmonically trapped bosons / A. Rovenchak // Физика низких температур. — 2016. — Т. 42, № 1. — С. 49–55. — Бібліогр.: 45 назв. — англ. 0132-6414 PACS: 03.75.–b, 05.30.–d, 67.85.–d https://nasplib.isofts.kiev.ua/handle/123456789/128448 An approach is proposed to obtain an effective Hamiltonian of a harmonically trapped Bose-system. Such a Hamiltonian is quadratic in the creation–annihilation operators and certain approximations allow to simplify higher (three and four operator) products to the required form. After the Hamiltonian diagonalization, the expression for the excitation spectrum is obtained containing in particular temperature-dependent corrections. Numerical calculations are made for a one-dimensional system. Some prospects towards the extension of the suggested approach to study binary bosonic mixtures are briefly discussed. I am grateful to the anonymous Referees for useful comments and criticisms, which open a possibility to develop the method of the present paper on a more rigorous level. The paper is based on the research provided by the grant support of the State Fund For Fundamental Research of Ukraine, Project F-64/41-2015 (No. 0115U004838). en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Физика низких температур Бозе-эйнштейновская конденсация Effective Hamiltonian and excitation spectrum of harmonically trapped bosons Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Effective Hamiltonian and excitation spectrum of harmonically trapped bosons |
| spellingShingle |
Effective Hamiltonian and excitation spectrum of harmonically trapped bosons Rovenchak, A. Бозе-эйнштейновская конденсация |
| title_short |
Effective Hamiltonian and excitation spectrum of harmonically trapped bosons |
| title_full |
Effective Hamiltonian and excitation spectrum of harmonically trapped bosons |
| title_fullStr |
Effective Hamiltonian and excitation spectrum of harmonically trapped bosons |
| title_full_unstemmed |
Effective Hamiltonian and excitation spectrum of harmonically trapped bosons |
| title_sort |
effective hamiltonian and excitation spectrum of harmonically trapped bosons |
| author |
Rovenchak, A. |
| author_facet |
Rovenchak, A. |
| topic |
Бозе-эйнштейновская конденсация |
| topic_facet |
Бозе-эйнштейновская конденсация |
| publishDate |
2016 |
| language |
English |
| container_title |
Физика низких температур |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| format |
Article |
| description |
An approach is proposed to obtain an effective Hamiltonian of a harmonically trapped Bose-system. Such a
Hamiltonian is quadratic in the creation–annihilation operators and certain approximations allow to simplify
higher (three and four operator) products to the required form. After the Hamiltonian diagonalization, the expression
for the excitation spectrum is obtained containing in particular temperature-dependent corrections. Numerical
calculations are made for a one-dimensional system. Some prospects towards the extension of the suggested
approach to study binary bosonic mixtures are briefly discussed.
|
| issn |
0132-6414 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/128448 |
| citation_txt |
Effective Hamiltonian and excitation spectrum of harmonically trapped bosons / A. Rovenchak // Физика низких температур. — 2016. — Т. 42, № 1. — С. 49–55. — Бібліогр.: 45 назв. — англ. |
| work_keys_str_mv |
AT rovenchaka effectivehamiltonianandexcitationspectrumofharmonicallytrappedbosons |
| first_indexed |
2025-12-07T18:28:54Z |
| last_indexed |
2025-12-07T18:28:54Z |
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1850875193100075008 |