Thermodynamical Properties of a Rotating Ideal Bose Gas

Abstract

In a recent experiment, a Bose-Einstein condensate was trapped in an anharmonic potential which is well approximated by a harmonic and a quartic part. The condensate was set into such a fast rotation that the centrifugal force in the corotating frame overcompensates the harmonic part in the plane perpendicular to the rotation axis. Thus, the resulting trap potential became Mexican-hat shaped. We present an analysis for an ideal Bose gas which is confined in such an anharmonic rotating trap within a semiclassical approximation where we calculate the critical temperature, the condensate fraction, and the heat capacity. In particular, we examine in detail how these thermodynamical quantities depend on the rotation frequency.

arXiv commentAuthor Information under http://www.theo-phys.uni-essen.de/tp/ags/pelster_dir/

References in corpus (7)

• Vortex Nucleation in a Stirred Bose-Einstein Condensate
• Measurement of the angular momentum of a rotating Bose-Einstein condensate
• Condensate fraction and critical temperature of a trapped interacting Bose gas
• Rotating vortex lattice in a Bose-Einstein condensate trapped in combined quadratic and quartic radial potentials
• The critical temperature of a trapped, weakly interacting Bose gas
• Critical rotation of a harmonically trapped Bose gas
• Bose-Einstein Condensation in Anisotropic Harmonic Traps

Cited by in corpus (16)

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• Recursive Schr\" odinger Equation Approach to Faster Converging Path Integrals
• Properties of Quantum Systems via Diagonalization of Transition Amplitudes II: Systematic Improvements of Short-time Propagation
• Critical Temperature for Bose-Einstein condensation in quartic potentials
• Statics and dynamics of quasi one-dimensional Bose-Einstein condensate in harmonic and dimple trap
• Ginzburg-Landau Theory for the Jaynes-Cummings-Hubbard Model
• Thermodynamic properties of rotating trapped ideal Bose gases
• Rotating Fermi gases in an anharmonic trap
• Thermodynamics of rotating Bose gases in a trap
• Dynamical Properties of a Rotating Bose-Einstein Condensate
• Fast Converging Path Integrals for Time-Dependent Potentials I: Recursive Calculation of Short-Time Expansion of the Propagator
• Semiclassical Hartree-Fock theory of a rotating Bose-Einstein condensation
• Fast Converging Path Integrals for Time-Dependent Potentials II: Generalization to Many-body Systems and Real-Time Formalism
• Scale invariant thermodynamics of a toroidally trapped Bose gas
• Bose-Einstein condensation in a rigidly rotating relativistic boson gas
• Geometric scale invariance as a route to macroscopic degeneracy: loading a toroidal trap with a Bose or Fermi gas