Radio Frequency Response of the Strongly Interacting Fermi Gases at Finite Temperatures

Abstract

The radio frequency spectrum of the fermions in the unitary limit at finite temperatures is characterized by the sum rule relations. We consider a simple picture where the atoms are removed by radio frequency excitations from the strongly interacting states into a state of negligible interaction. We calculate the moments of the response function in the range of temperature $0.08{\epsilon }_F<T<0.8{\epsilon }_F$ using auxiliary field Monte Carlo technique (AFMC) in which continuum auxiliary fields with a density dependent shift are used. We estimate the effects of superfluid pairing from the clock shift. We find a qualitative agreement with the pairing gap - pseudogap transition behavior. We also find within the quasiparticle picture that in order for the gap to come into quantitative agreement with the previously known value at T=0, the effective mass has to be $m^{\ast }\sim 1.43m$. Finally, we discuss implications for the adiabatic sweep of the resonant magnetic field.

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References in corpus (15)

• Theory of ultracold Fermi gases
• Using photoemission spectroscopy to probe a strongly interacting Fermi gas
• Critical Temperature and Thermodynamics of Attractive Fermions at Unitarity
• Determination of the Superfluid Gap in Atomic Fermi Gases by Quasiparticle Spectroscopy
• Quantum Monte Carlo Simulations of the BCS-BEC Crossover at Finite Temperature
• Tomographic RF Spectroscopy of a Trapped Fermi Gas at Unitarity
• Local Density Functional Theory for Superfluid Fermionic Systems: The Unitary Gas
• Theory of RF-spectroscopy of strongly interacting Fermions
• Critical Temperature Curve in the BEC-BCS Crossover
• Coherence and clock shifts in ultracold Fermi gases with resonant interactions
• Probing the Spectral Function Using Momentum Resolved Radio Frequency Spectroscopy in Trapped Fermi Gases
• Twin peaks in rf spectra of Fermi gases at unitarity
• Temperature and final state effects in radio frequency spectroscopy experiments on atomic Fermi gases
• Superfluid to insulator phase transition in a unitary Fermi gas
• Quasiparticles, coherence and nonlinearity: exact simulations of RF-spectroscopy of strongly interacting one-dimensional Fermi gases

Cited by in corpus (1)

• Ultracold Dipolar Gases in Optical Lattices