Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov approximation
arXiv:1706.01822 · doi:10.1209/0295-5075/121/10007
Abstract
Following an earlier calculation in 3D, we calculate the 2D critical temperature of a dilute, translation-invariant Bose gas using a variational formulation of the Bogoliubov approximation introduced by Critchley and Solomon in 1976. This provides the first analytical calculation of the Kosterlitz-Thouless transition temperature that includes the constant in the logarithm.
arXiv commentPublished version, 7 pages, 2 figures
References in corpus (20)
- Bose-Einstein condensation of atoms in a uniform potential
- Theory of the Weakly Interacting Bose Gas
- Extension of Bogoliubov theory to quasi-condensates
- Critical Point of a Weakly Interacting Two-Dimensional Bose Gas
- The transition temperature of the dilute interacting Bose gas
- Observation of a 2D Bose-gas: from thermal to quasi-condensate to superfluid
- Transition temperature of a dilute homogeneous imperfect Bose gas
- Weakly Interacting, Dilute Bose Gases in 2D
- Renormalization Group Theory of the Three-Dimensional Dilute Bose Gas
- Effects of Interactions on the Critical Temperature of a Trapped Bose Gas
- Bose-Einstein transition in a dilute interacting gas
- Justification of c-Number Substitutions in Bosonic Hamiltonians
- The ground state energy of a low density Bose gas: a second order upper bound
- Transition Temperature of a Uniform Imperfect Bose Gas
- The ground state energy of the weakly interacting Bose gas at high density
- Bose-Einstein Condensation Temperature of a Homogeneous Weakly Interacting Bose Gas : PIMC study
- Rigorous Upper Bound on the Critical Temperature of Dilute Bose Gases
- Bose-Einstein condensation temperature of weakly interacting atoms
- Free Energy of a Dilute Bose Gas: Lower Bound
- Free Energies of Dilute Bose gases: upper bound