Semiclassical analysis of the Bogoliubov spectrum in the Bose-Hubbard model

Journal Article · Wed Aug 15 00:00:00 EDT 2007 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PHYSREVE.76.026207· OSTI ID:21076233

Kolovsky, Andrey R ^[1]

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1. Kirensky Institute of Physics, 660036 Krasnoyarsk (Russian Federation)

We analyze the Bogoliubov spectrum of the Bose-Hubbard model with a finite number of sites and Bose particles by using a semiclassical approach. This approach allows us to take into account the finite-size effects responsible for evolution of the Bogoliubov spectrum into an irregular (chaotic) spectrum at higher energies. A manifestation of this transition for the excitation dynamics of the Bose-Hubbard system is discussed as well.

• OSTI ID: 21076233
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 76, Issue 2; Other Information: DOI: 10.1103/PhysRevE.76.026207; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CHAOS THEORY
EVOLUTION
EXCITATION
HUBBARD MODEL
PARTICLES
SEMICLASSICAL APPROXIMATION
SUPERFLUIDITY