Temperature-Dependent Contact of Weakly Interacting Single-Component Fermi Gases and Loss Rate of Degenerate Polar Molecules

Abstract

Motivated by the experimental realization of single-component degenerate Fermi gases of polar ground state KRb molecules with intrinsic two-body losses [L. De Marco, G. Valtolina, K. Matsuda, W. G. Tobias, J. P. Covey, and J. Ye, A degenerate Fermi gas of polar molecules, Science 363, 853 (2019)], this work studies the finite-temperature loss rate of single-component Fermi gases with weak interactions. First, we establish a relationship between the two-body loss rate and the $p$-wave contact. Second, we evaluate the contact of the homogeneous system in the low-temperature regime using $p$-wave Fermi liquid theory and in the high-temperature regime using the second-order virial expansion. Third, conjecturing that there are no phase transitions between the two temperature regimes, we smoothly interpolate the results to intermediate temperatures. It is found that the contact is constant at temperatures close to zero and increases first quadratically with increasing temperature and finally -- in agreement with the Bethe-Wigner threshold law -- linearly at high temperatures. Fourth, applying the local-density approximation, we obtain the loss-rate coefficient for the harmonically trapped system, reproducing the experimental KRb loss measurements within a unified theoretical framework over a wide temperature regime without fitting parameters. Our results for the contact are not only applicable to molecular $p$-wave gases but also to atomic single-component Fermi gases, such as 40K and 6Li.

arXiv comment23 pages, 7 figures, and 5 appendices

References in corpus (50)

• A High Phase-Space-Density Gas of Polar Molecules
• Quantum computation with trapped polar molecules
• Cold and Ultracold Molecules: Science, Technology, and Applications
• A toolbox for lattice spin models with polar molecules
• Quantum-State Controlled Chemical Reactions of Ultracold KRb Molecules
• Condensed Matter Theory of Dipolar Quantum Gases
• Dipolar collisions of polar molecules in the quantum regime
• Ultracold dense samples of dipolar RbCs molecules in the rovibrational and hyperfine ground state
• Strongly correlated 2D quantum phases with cold polar molecules: controlling the shape of the interaction potential
• Ultracold Dipolar Gas of Fermionic ${}^{23}$Na${}^{40}$K Molecules in their Absolute Ground State
• Cold molecules: Progress in Quantum Engineering of Chemistry and Quantum Matter
• Magneto-optical trapping of a diatomic molecule
• Creation of ultracold ${}^{87}$RbCs molecules in the rovibrational ground state
• Hybrid Quantum Processors: molecular ensembles as quantum memory for solid state circuits
• Molecules cooled below the Doppler limit
• Magneto-optical trapping of diatomic molecules
• Creation of an ultracold gas of ground-state ${}^{23}{\mathrm{Na}}^{87}\mathrm{Rb}$ molecules
• Tunable Superfluidity and Quantum Magnetism with Ultracold Polar Molecules
• Exact Relations for a Strongly-interacting Fermi Gas from the Operator Product Expansion
• A Fermi Degenerate Gas of Polar Molecules
• Radio Frequency Magneto-Optical Trapping of CaF with High Density
• Multiplet Structure of Feshbach Resonances in non-zero partial waves
• Trapped Fermi gases
• Effective Field Theory for Halo Nuclei: Shallow p-Wave States
• Laser Cooling of Optically Trapped Molecules
• Universal rate constants for reactive collisions of ultracold molecules
• Long-Lived Ultracold Molecules with Electric and Magnetic Dipole Moments
• Direct observation of bimolecular reactions of ultracold KRb molecules
• High temperature expansion applied to fermions near Feshbach resonance
• Feshbach resonances in ultracold atomic and molecular collisions: threshold behaviour and suppression of poles in scattering lengths
• Virial expansion for a strongly correlated Fermi system and its application to ultracold atomic Fermi gases
• Modeling the adiabatic creation of ultracold, polar ${}^{23}\mathrm{N}{\mathrm{a}}^{40}\mathrm{K}$ molecules
• Evidence for universal relations describing a gas with $p$-wave interactions
• Fermion Superfluids of Non-Zero Orbital Angular Momentum near Resonance
• Strong dependence of ultracold chemical rates on electric dipole moments
• Universal Properties of a Strongly Interacting Fermi Gas at a $p$-wave Resonance
• Evolution from BCS to BEC superfluidity in p-wave Fermi gases
• Universal high-momentum asymptote and thermodynamic relations in a spinless Fermi gas with a resonant $p$-wave interaction
• The manipulation of massive ro-vibronic superpositions using time-frequency-resolved coherent anti-Stokes Raman scattering (TFRCARS): from quantum control to quantum computing
• Concept of contact spectrum and its applications in atomic quantum Hall states
• Non-divergent pseudo-potential treatment of spin-polarized fermions under 1D and 3D harmonic confinement
• Strongly Correlated States of Ultracold Rotating Dipolar Fermi Gases
• Renormalization in the Three-body Problem with Resonant P-wave Interactions
• Lindblad Equation for the Inelastic Loss of Ultracold Atoms
• The scattering amplitude of ultracold atoms near the p-wave magnetic Feshbach Resonance
• Contact matrix in dilute quantum systems
• Universal Relation for the Inelastic Two-Body Loss Rate
• Normal State Properties of a resonantly interacting p-wave Fermi Gas
• A strongly interacting high partial wave Bose gas
• Understanding chemical reactions in a quantum degenerate gas of polar molecules via complex formation

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