Effective Hamiltonian and excitation spectrum of harmonically trapped bosons

Бозе-эйнштейновская конденсация

Автор(и)

  • Andrij Rovenchak Department for Theoretical Physics, Ivan Franko National University of Lviv 12 Drahomanov St., Lviv 79005, Ukraine

DOI (Low Temperature Physics):


https://doi.org/10.1063/1.4939154%20

Ключові слова:

Bose-system, excitation spectrum, harmonic traps, approximate second quantization.

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.

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Опубліковано

2015-11-17

Як цитувати

(1)
Andrij Rovenchak, Effective Hamiltonian and excitation spectrum of harmonically trapped bosons: Бозе-эйнштейновская конденсация, Low Temp. Phys. 42, (2015) [Fiz. Nizk. Temp. 42, 49-55, (2015)] DOI: https://doi.org/10.1063/1.4939154 .

Номер

Том 42 № 1 (2016)

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