Specific Heat of a Fermionic Atomic Cloud in the Unitary Regime

2005/03/31 by Aurel Bulgac
Physics and Astronomy · #Amplitude #Atomic and Subatomic Physics Research #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Exponent #Geometry #Omega #Perpendicular #Physics #Quantum mechanics #Quantum, superfluid, helium dynamics #Scattering #cond-mat.stat-mech

paper · pdf · doi:10.1103/physrevlett.95.140403

published as Phys.Rev.Lett.95:140403,2005 · 4 pages

openalex publication_date 2005/09/29 · arxiv created 2005/10/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

In the unitary regime, when the scattering amplitude greatly exceeds in magnitude the average interparticle separation, and below the critical temperature thermal properties of an atomic fermionic cloud are governed by the collective modes, specifically the Bogoliubov-Anderson sound modes. The specific heat of an atomic cloud in an elongated trap, in particular, has a rather complex temperature dependence, which changes from an exponential behavior at very low temperatures (T\ensuremath≪\ensuremathℏ\ensuremathω_\ensuremath∥), to \ensuremath∝T for \ensuremathℏ\ensuremathω_\ensuremath∥\ensuremath≪T\ensuremath≪\ensuremathℏ\ensuremathω_\ensuremath⊥ and then continuously to \ensuremath∝T⁴ at temperatures just below the critical temperature, when the surface modes play a dominant role. Only the low (\ensuremathℏ\ensuremathω_\ensuremath∥\ensuremath≪T\ensuremath≪\ensuremathℏ\ensuremathω_\ensuremath⊥) and high (\ensuremathℏ\ensuremathω_\ensuremath⊥\ensuremath≪T<T_c) temperature power laws are well defined. For the intermediate temperatures one can introduce at most a gradually increasing with temperature exponent.

Citations

• Prospect of creating a composite Fermi–Bose superfluid
• UltrastableCO2Laser Trapping of Lithium Fermions
• Observation of resonance condensation of fermionic atom pairs
• Emergence of a molecular Bose–Einstein condensate from a Fermi gas
• Collective Excitations of a Degenerate Gas at the BEC-BCS Crossover
• Collective oscillations of a trapped superfluid Fermi gas near a Feshbach resonance
• Hydrodynamic Modes in a Trapped Bose Gas above the Bose-Einstein Transition
• Mechanical stability of a strongly interacting Fermi gas of atoms
• Production of Long-Lived UltracoldLi2Molecules from a Fermi Gas
• Influence of Induced Interactions on the Superfluid Transition in Dilute Fermi Gases
• BCS-BEC Crossover in a Gas of Fermi Atoms with a Feshbach Resonance
• Collective Modes and Ballistic Expansion of a Fermi Gas in the BCS-BEC Crossover
• Bose-Einstein Condensation of Molecules
• Observation of Bose-Einstein Condensation of Molecules
• Resonance Superfluidity in a Quantum Degenerate Fermi Gas