Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
Effective Hamiltonian and excitation spectrum of harmonically trapped bosons
Репозиторій DSpace/Manakin
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Effective Hamiltonian and excitation spectrum of harmonically trapped bosons
Тема:
Бозе-эйнштейновская конденсация
Інший ID:
PACS: 03.75.–b, 05.30.–d, 67.85.–d
Посилання:
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.
Підтримка:
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).
Дата:
2016
Переглядів:
741
Завантажень:
509
Анотація:
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.
