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...
Збережено в:
| Дата: | 2016 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2016
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| Назва видання: | Физика низких температур |
| Теми: | |
| Онлайн доступ: | http://dspace.nbuv.gov.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| id |
irk-123456789-128448 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1284482018-01-10T03:02:46Z Effective Hamiltonian and excitation spectrum of harmonically trapped bosons Rovenchak, A. Бозе-эйнштейновская конденсация 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. 2016 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/128448 en Физика низких температур Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| topic |
Бозе-эйнштейновская конденсация Бозе-эйнштейновская конденсация |
| spellingShingle |
Бозе-эйнштейновская конденсация Бозе-эйнштейновская конденсация Rovenchak, A. Effective Hamiltonian and excitation spectrum of harmonically trapped bosons 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. |
| format |
Article |
| author |
Rovenchak, A. |
| author_facet |
Rovenchak, A. |
| author_sort |
Rovenchak, A. |
| title |
Effective Hamiltonian and excitation spectrum of harmonically trapped bosons |
| 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 |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| publishDate |
2016 |
| topic_facet |
Бозе-эйнштейновская конденсация |
| url |
http://dspace.nbuv.gov.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. |
| series |
Физика низких температур |
| work_keys_str_mv |
AT rovenchaka effectivehamiltonianandexcitationspectrumofharmonicallytrappedbosons |
| first_indexed |
2023-10-18T20:55:20Z |
| last_indexed |
2023-10-18T20:55:20Z |
| _version_ |
1796151458121383936 |