Thermodynamics of Interacting Fermions in Atomic Traps

Abstract

We calculate the entropy in a trapped, resonantly interacting Fermi gas as a function of temperature for a wide range of magnetic fields between the BCS and Bose-Einstein condensation endpoints. This provides a basis for the important technique of adiabatic sweep thermometry, and serves to characterize quantitatively the evolution and nature of the excitations of the gas. The results are then used to calibrate the temperature in several ground breaking experiments on ${}^6$Li and ${}^{40}$K.

Final version -- Published in PRL. 4 figures

References in corpus (7)

• Vortices and Superfluidity in a Strongly Interacting Fermi Gas
• Observation of the Pairing Gap in a Strongly Interacting Fermi Gas
• Weakly bound dimers of fermionic atoms
• Collective excitations of a degenerate gas at the BEC-BCS crossover
• Heat Capacity of a Strongly-Interacting Fermi Gas
• Collective modes and ballistic expansion of a Fermi gas in the BCS-BEC crossover
• Radio frequency spectroscopy and the pairing gap in trapped Fermi gases

Cited by in corpus (46)

• Theory of ultracold Fermi gases
• Heat Capacity of a Strongly-Interacting Fermi Gas
• Bragg spectroscopy of a strongly interacting Fermi gas
• Equation of state of a superfluid Fermi gas in the BCS-BEC crossover
• Measurement of the Entropy and Critical Temperature of a Strongly Interacting Fermi Gas
• Thermodynamic Measurements in a Strongly Interacting Fermi Gas
• Speckle Imaging of Spin Fluctuations in a Strongly Interacting Fermi Gas
• Collective oscillations of a Fermi gas in the unitarity limit: Temperature effects and the role of pair correlations
• Finite-Temperature Collective Dynamics of a Fermi Gas in the BEC-BCS Crossover
• Intermediate temperature superfluidity in an atomic Fermi gas with population imbalance
• Is a gas of strongly interacting atomic fermions a nearly perfect fluid?
• Making statistics work: a quantum engine in the BEC-BCS crossover
• Temperature of a trapped unitary Fermi gas at finite entropy
• Pseudogaps in strongly interacting Fermi gases
• Ground-state thermodynamic quantities of homogeneous spin-$1/2$ fermions from the BCS region to the unitarity limit
• Theory of Radio Frequency Spectroscopy Experiments in Ultracold Fermi Gases and Their Relation to Photoemission Experiments in the Cuprates
• Thermodynamics and superfluid density in BCS-BEC crossover with and without population imbalance
• Comparison of Different Pairing Fluctuation Approaches to BCS-BEC Crossover
• Functional Integral for Ultracold Fermionic Atoms
• Perfect Fluids and Bad Metals: Transport Analogies Between Ultracold Fermi Gases and High $T_c$ Superconductors
• Pseudogap phenomena in ultracold atomic Fermi gases
• Critical Vortex Shedding in a Strongly Interacting Fermionic Superfluid
• First and second sound in cylindrically trapped gases
• Low-temperature thermodynamics of the unitary Fermi gas: superfluid fraction, first sound and second sound
• Understanding the superfluid phase diagram in trapped Fermi gases
• Critical Behaviour in Trapped Strongly Interacting Fermi Gases
• First and second sound modes at finite temperature in trapped Fermi gases from BCS to BEC
• Finite Temperature Momentum Distribution of a Trapped Fermi Gas
• Trapped Resonant Fermions above Superfluid Transition Temperature
• Trap anharmonicity and sloshing mode of a Fermi gas
• Fermi liquid theory of ultra-cold trapped Fermi gases: Implications for Pseudogap Physics and Other Strongly Correlated Phases
• Dynamic formation of quasicondensate and spontaneous vortices in a strongly interacting Fermi gas
• The finite-temperature thermodynamics of a trapped unitary Fermi gas within fractional exclusion statistics
• The Compressibility in Strongly Correlated Superconductors and Superfluids: From BCS to BEC
• Dipole oscillations of fermionic superfluids along the BEC-BCS crossover in disordered potentials
• Lifetime of angular momentum in a rotating strongly interacting Fermi gas
• Excess energy of an ultracold Fermi gas in a trapped geometry
• Experimental realization of BCS-BEC crossover physics with a Fermi gas of atoms
• Adiabatic Phase Diagram of an Ultracold Atomic Fermi Gas with a Feshbach Resonance
• Fermionic superfluidity: From high Tc superconductors to ultracold Fermi gases
• Development of an apparatus for cooling 6Li-87Rb Fermi-Bose mixtures in a light-assisted magnetic trap
• Superfluidity in atomic Fermi gases
• Radio Frequency Response of the Strongly Interacting Fermi Gases at Finite Temperatures
• Characterizing Real-space Topology in Rice-Mele Model by Thermodynamics
• What can ultracold Fermi gases teach us about high $T_c$ superconductors and vice versa?
• Weighted Hartree-Fock-Bogoliubov method for interacting fermions: An application to ultracold Fermi superfluids