Strongly Interacting p-wave Fermi Gas in Two-Dimensions: Universal Relations and Breathing Mode

Abstract

The contact is an important concept that characterizes the universal properties of a strongly interacting quantum gas. It appears in both thermodynamic (energy, pressure, etc.) and dynamic quantities (radio-frequency and Bragg spectroscopies, etc.) of the system. Very recently, the concept of contact has been extended to higher partial waves, in particular, the p-wave contacts have been experimentally probed in recent experiment. So far discussions on p-wave contacts have been limited to three-dimensions. In this paper, we generalize the p-wave contacts to two-dimensions and derive a series of universal relations, including the adiabatic relations, high momentum distribution, virial theorem and pressure relation. At high temperature and low density limit, we calculated the p-wave contacts explicitly using virial expansion. A formula which directly connects the shift of the breathing mode frequency and the p-wave contacts are given in a harmonically trapped system. Finally, we also derive the relationships between interaction parameters in three and two dimensional Fermi gas and discuss possible experimental realization of two dimensional Fermi gas with p-wave interactions.

12 pages,4 figure

References in corpus (14)

• Exact Relations for a Strongly-interacting Fermi Gas from the Operator Product Expansion
• p-wave Feshbach molecules
• Number of closed-channel molecules in the BEC-BCS crossover
• Universal Properties of the Ultra-Cold Fermi Gas
• Virial expansion for a strongly correlated Fermi gas
• Collisional Properties of p-Wave Feshbach Molecules
• Binding Energies of 6Li p-wave Feshbach Molecules
• Stability of the fermionic gases close to a p-wave Feshbach resonance
• Apparent low-energy scale invariance in two-dimensional Fermi gases
• Breathing mode of two-dimensional atomic Fermi gases in harmonic traps
• Large-momentum distribution of a polarized Fermi gas and p-wave contacts
• High-momentum distribution with subleading $k^{-3}$ tail in the odd-wave interacting one-dimensional Fermi gases
• Creation of p-wave Feshbach molecules in the selected angular momentum states using an optical lattice
• P-Wave Contact Tensor -- Universal Properties of Axisymmetry-Broken P-Wave Fermi Gases

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• Sigature of the universal super Efimov Effect: three-body contact in two dimensional Fermi gases
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• A strongly interacting high partial wave Bose gas
• Two-dimensional Fermi gases near a p-wave resonance: effect of quantum fluctuations
• Emergent s-wave interactions between identical fermions in quasi-one-dimensional geometries
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• P-wave contacts of quantum gases in quasi-one-dimensional and quasi-two-dimensional traps
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• Quantum fluctuations of a resonantly interacting $p$-wave Fermi superfluid in two dimensions
• Emergent $s$-wave interactions in orbitally active quasi-two-dimensional Fermi gases
• Studies of Single Component Fermi Gas near a $P$-wave Resonance with Lowest Order Constrained Variational Method
• Resonantly interacting $p$-wave Fermi superfluid in two dimensions: Tan's contact and breathing mode
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• Classical Dynamics of Harmonically Trapped Interacting Particles
• Temperature dependence of $p$-wave contacts in a harmonically trapped Fermi gas
• Toward precision Fermi liquid theory in two dimensions
• Radio-Frequency Spectroscopy and the Dimensional Crossover in Interacting Spin-Polarized Fermi Gases
• Measurement of $p$-wave contacts in an ultracold Fermi gas of ${}^6$Li atoms
• Elastic collision rates of spin-polarized fermions in two dimensions
• The Second Order 2D Behaviors of a 3D Bose Gases in the Gross-Pitaevskii Regime