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. Afte...
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| Опубліковано в: : | Физика низких температур |
|---|---|
| Дата: | 2016 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2016
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| Теми: | |
| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/128448 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862721122242396160 |
|---|---|
| author | Rovenchak, A. |
| author_facet | Rovenchak, A. |
| 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. |
| collection | DSpace DC |
| container_title | Физика низких температур |
| 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.
|
| first_indexed | 2025-12-07T18:28:54Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-128448 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0132-6414 |
| language | English |
| last_indexed | 2025-12-07T18:28:54Z |
| publishDate | 2016 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Effective Hamiltonian and excitation spectrum of harmonically trapped bosons Rovenchak, A. Бозе-эйнштейновская конденсация |
| title | 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_short | Effective Hamiltonian and excitation spectrum of harmonically trapped bosons |
| title_sort | effective hamiltonian and excitation spectrum of harmonically trapped bosons |
| topic | Бозе-эйнштейновская конденсация |
| topic_facet | Бозе-эйнштейновская конденсация |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/128448 |
| work_keys_str_mv | AT rovenchaka effectivehamiltonianandexcitationspectrumofharmonicallytrappedbosons |