Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Theoretical and Mathematical Physics

Kinetics of a spatially inhomogeneous Bose gas in the presence of a condensate

S. V. Peletminskiǐ, Alexander I. Sokolovsky, V. S. Shchelokov

Published Jan 1, 1977• 15 citations
Publisher
DOI
10.1007/bf01029358

Related papers

Kinetics of Bose condensation in an interacting Bose gas

Yu. Kagan, Boris V. Svistunov, Gora V. Shlyapnikov +1 more

Journal of Experimental and Theoretical Physics•Feb 1, 1992•18 citations

Transport in a dilute but condensed nonideal Bose gas: Kinetic equations

T. R. Kirkpatrick, J. R. Dorfman

Journal of Low Temperature Physics•Feb 1, 1985•97 citations

Kinetic Theory of a Spin-1/2 Bose-Condensed Gas

Tetsuro Nikuni, JAMES E. JUN. WILLIAMS

Journal of Low Temperature Physics•Nov 3, 2003•72 citations

On the ground state energy of the inhomogeneous Bose gas

Viktor Borisovich Bobrov, S. A. Trigger

Within the self-consistent Hartree–Fock approximation, an explicit in this approximation expression for the ground state energy of inhomogeneous Bose gas is derived as a functional of the inhomogeneous density of the Bose–Einstein condensate. The results obtained are based on existence of the off-diagonal long-range order in the single-particle density matrix for systems with a Bose–Einstein condensate. This makes it possible to avoid the use of anomalous averages. The explicit form of the kinetic energy, which differs from one in the Gross–Pitaevski approach, is found. The obtained form of kinetic energy is valid beyond the Hartree–Fock approximation and can be applied for arbitrary strong interparticle interaction.

Frontiers of Physics•Mar 6, 2017•0 citations

Kinetics of Bose condensates

Alex Kamenev

Cambridge University Press eBooks•Sep 8, 2011•0 citations

Finite-temperature perturbation theory for a spatially inhomogeneous Bose-condensed gas

Peter O. Fedichev, Gora V. Shlyapnikov

We develop a finite-temperature perturbation theory (beyond the mean field) for a Bose-condensed gas and calculate temperature-dependent damping rates and energy shifts for Bogolyubov excitations of any energy. The theory is generalized for the case of excitations in a spatially inhomogeneous (trapped) Bose-condensed gas, where we emphasize the principal importance of inhomogeneity of the condensate density profile and develop the method of calculating the self-energy functions. The use of the theory is demonstrated by calculating the damping rates and energy shifts of low-energy quasiclassical excitations, i.e., the quasiclassical excitations with energies much smaller than the mean-field interaction between particles. In this case the boundary region of the condensate plays a crucial role and the result for the damping rates and energy shifts is completely different from that in spatially homogeneous gases. We also analyze the frequency shifts and damping of sound waves in cylindrical Bose condensates and discuss the role of damping in the recent MIT experiment on the sound propagation.

arXiv:cond-mat/9805015•Physical Review A•Oct 1, 1998•106 citations
Within the self-consistent Hartree–Fock approximation, an explicit in this approximation expression for the ground state energy of inhomogeneous Bose gas is derived as a functional of the inhomogeneous density of the Bose–Einstein condensate. The results obtained are based on existence of the off-diagonal long-range order in the single-particle density matrix for systems with a Bose–Einstein condensate. This makes it possible to avoid the use of anomalous averages. The explicit form of the kinetic energy, which differs from one in the Gross–Pitaevski approach, is found. The obtained form of kinetic energy is valid beyond the Hartree–Fock approximation and can be applied for arbitrary strong interparticle interaction.
We develop a finite-temperature perturbation theory (beyond the mean field) for a Bose-condensed gas and calculate temperature-dependent damping rates and energy shifts for Bogolyubov excitations of any energy. The theory is generalized for the case of excitations in a spatially inhomogeneous (trapped) Bose-condensed gas, where we emphasize the principal importance of inhomogeneity of the condensate density profile and develop the method of calculating the self-energy functions. The use of the theory is demonstrated by calculating the damping rates and energy shifts of low-energy quasiclassical excitations, i.e., the quasiclassical excitations with energies much smaller than the mean-field interaction between particles. In this case the boundary region of the condensate plays a crucial role and the result for the damping rates and energy shifts is completely different from that in spatially homogeneous gases. We also analyze the frequency shifts and damping of sound waves in cylindrical Bose condensates and discuss the role of damping in the recent MIT experiment on the sound propagation.