Semiclassical Hartree-Fock theory of a rotating Bose-Einstein condensation
arXiv:1609.03606 · doi:10.1140/epjd/e2016-70555-0
Abstract
In this paper, we investigate the thermodynamic behavior of a rotating Bose-Einstein condensation with non-zero interatomic interactions theoretically. The analysis relies on a semiclassical Hartree-Fock approximation where an integral is performed over the phase space and function of the grand canonical ensemble is derived. Subsequently, we use this result to derive several thermodynamic quantities including the condensate fraction, critical temperature, entropy and heat capacity. Thereby, we investigate the effect of the rotation rate and interactions parameter on the thermodynamic behavior. The role of finite size is discussed. Our approach can be extended to consider the rotating condensate in optical potential.
References in corpus (35)
- Theory of Bose-Einstein condensation in trapped gases
- Vortex formation in a stirred Bose-Einstein condensate
- Vortices in a Bose-Einstein Condensate
- Rapidly Rotating Atomic Gases
- Rotating vortex lattice in a Bose-Einstein condensate trapped in combined quadratic and quartic radial potentials
- Entropy exchange in a mixture of ultracold atoms
- Bose-Einstein condensation of atomic gases in a harmonic oscillator confining potential trap
- Vortex patterns in a fast rotating Bose-Einstein condensate
- Experimental studies of equilibrium vortex properties in a Bose-condensed gas
- Effects of Interactions on the Critical Temperature of a Trapped Bose Gas
- A more accurate analysis of Bose-Einstein condensation in harmonic traps
- Analytical description of a trapped semi-ideal Bose gas at finite temperature
- Scaling and thermodynamics of a trapped Bose-condensed gas
- Phase diagram of quantized vortices in a trapped Bose-Einstein condensed gas
- Thermometry and cooling of a Bose-Einstein condensate to 0.02 times the critical temperature
- Precision Monte Carlo Test of the Hartree-Fock Approximation for a trapped Bose Gas
- Bose-Einstein condensation in arbitrarily shaped cavities
- Density of states for Bose-Einstein condensation in harmonic oscillator potentials
- Can a Bose gas be saturated?
- Stability of a vortex in a small trapped Bose-Einstein condensate
- A superfluid gyroscope with cold atomic gases
- Bose-Einstein condensation under external conditions
- Efficient Production of Large 39K Bose-Einstein Condensates
- Thermodynamical Properties of a Rotating Ideal Bose Gas
- Thermodynamics of ultracold trapped gases. Generalized mechanical variables, equation of state and heat capacity
- Condensate density and superfluid mass density of a dilute Bose gas near the condensation transition
- Condensed Fraction of an Atomic Bose Gas Induced by Critical Correlations
- Adiabatic cooling of bosons in lattices to magnetic ordering
- Exact diagonalization results for an anharmonically trapped Bose-Einstein condensate
- Measuring The Heat Capacity in a Bose-Einstein Condensation using Global Variables
- Systematic Semiclassical Expansion for Harmonically Trapped Ideal Bose Gases
- Thermodynamic properties of rotating trapped ideal Bose gases
- Thermodynamics of rotating Bose gases in a trap
- Magnetic properties of two-dimensional charged spin-1 Bose gases
- Quantum corrections to the thermodynamic potential of interacting Bosons in a trap