Published August 2007 | Version v1
Journal article

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

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

Description

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

Additional details

Identifiers

Publishing Information

Journal Title
Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Journal Volume
76
Journal Issue
2
Journal Page Range
p. 026207-026207.11
ISSN
1063-651X
CODEN
PLEEE8

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
39088600
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
CHAOS THEORY; EVOLUTION; EXCITATION; HUBBARD MODEL; PARTICLES; SEMICLASSICAL APPROXIMATION; SUPERFLUIDITY
Descriptors DEC
APPROXIMATIONS; CALCULATION METHODS; CRYSTAL MODELS; ENERGY-LEVEL TRANSITIONS; MATHEMATICAL MODELS; MATHEMATICS

Optional Information

Notes
(c) 2007 The American Physical Society