Effective Hamiltonian and excitation spectrum of harmonically trapped bosons

dc.contributor.author	Rovenchak, A.
dc.date.accessioned	2018-01-09T15:39:26Z
dc.date.available	2018-01-09T15:39:26Z
dc.date.issued	2016
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	0132-6414
dc.identifier.other	PACS: 03.75.–b, 05.30.–d, 67.85.–d
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/128448
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	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).	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України	uk_UA
dc.relation.ispartof	Физика низких температур
dc.subject	Бозе-эйнштейновская конденсация	uk_UA
dc.title	Effective Hamiltonian and excitation spectrum of harmonically trapped bosons	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA