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

Journal of Experimental and Theoretical Physics

Influence on inelastic processes of the phase transition in a weakly collisional two-dimensional Bose gas

Yu. Kagan, Boris V. Svistunov, Gora V. Shlyapnikov

Published Aug 1, 1987• 5 citations
OpenAlex

Related papers

Phase transition and thermodynamic properties of a two-component weakly interacting Bose gas in self-consistent Popov approximation

Hoang Van Quyet

Physica C Superconductivity•Jul 21, 2026•0 citations

Dynamics of the phase transition in the weakly interacting Bose gas

Imre Kondor, P. Szépfalusy

Physics Letters A•Nov 1, 1970•4 citations

Formation of the condensate in a dilute Bose gas

Henk T. C. Stoof

We examine the time evolution of a weakly interacting Bose gas in the course of the Bose-Einstein phase transition and show that, in contrast with previous claims in the literature, the relevant time scale for the appearance of the condensate is finite and, under the conditions we consider, of O(\ensuremath{\Elzxh}/${\mathit{k}}_{\mathit{B}}$${\mathit{T}}_{\mathit{c}}$), which is very small compared to the characteristic lifetime of the system due to inelastic collisions in the gas.

Physical Review Letters•Jun 17, 1991•65 citations

Kinetics of phase transition in ideal and weakly interacting bose gas

Evgeny Levich, Victor Yakhot

Journal of Low Temperature Physics•Apr 1, 1977•6 citations

Weakly Bound Dimers of Fermionic Atoms

Dmitry S. Petrov, Ch Salomon, Gora V. Shlyapnikov

We discuss the behavior of weakly bound bosonic dimers formed in a two-component cold Fermi gas at a large positive scattering length a for the interspecies interaction. We find the exact solution for the dimer-dimer elastic scattering and obtain a strong decrease of their collisional relaxation and decay with increasing a. The large ratio of the elastic to inelastic rate is promising for achieving Bose-Einstein condensation of the dimers and cooling the condensed gas to very low temperatures.

arXiv:cond-mat/0309010•Physical Review Letters•Aug 24, 2004•642 citations

Dimensionally induced one-dimensional to three-dimensional phase transition of the weakly interacting ultracold Bose gas

Bernhard Irsigler, Axel Pelster

We investigate the dimensionally induced phase transition from the normal to the Bose-Einstein-condensed phase for a weakly interacting Bose gas in an optical lattice. To this end we make use of the Hartree-Fock-Bogoliubov-Popov theory, where we include numerically exact hopping energies and effective interaction strengths. At first we determine the critical chemical potential, where we find a much better agreement with recent experimental data than a pure Hartree-Fock treatment. This finding originates from an important correction due to quantum fluctuations, which are enhanced in lower dimensions. Furthermore, we determine for the one-dimensional to three-dimensional transition the power-law exponent of the critical temperature for two different noninteracting Bose gas models yielding the same value of 1/2, which indicates that they belong to the same universality class. For the weakly interacting Bose gas we find for both models that this exponent is robust with respect to finite interaction strengths.

arXiv:1612.08920•Physical Review A•Apr 10, 2017•7 citations
We examine the time evolution of a weakly interacting Bose gas in the course of the Bose-Einstein phase transition and show that, in contrast with previous claims in the literature, the relevant time scale for the appearance of the condensate is finite and, under the conditions we consider, of O(\ensuremath{\Elzxh}/kB{\mathit{k}}_{\mathit{B}}kB​Tc{\mathit{T}}_{\mathit{c}}Tc​), which is very small compared to the characteristic lifetime of the system due to inelastic collisions in the gas.
We investigate the dimensionally induced phase transition from the normal to the Bose-Einstein-condensed phase for a weakly interacting Bose gas in an optical lattice. To this end we make use of the Hartree-Fock-Bogoliubov-Popov theory, where we include numerically exact hopping energies and effective interaction strengths. At first we determine the critical chemical potential, where we find a much better agreement with recent experimental data than a pure Hartree-Fock treatment. This finding originates from an important correction due to quantum fluctuations, which are enhanced in lower dimensions. Furthermore, we determine for the one-dimensional to three-dimensional transition the power-law exponent of the critical temperature for two different noninteracting Bose gas models yielding the same value of 1/2, which indicates that they belong to the same universality class. For the weakly interacting Bose gas we find for both models that this exponent is robust with respect to finite interaction strengths.