P-wave contacts of quantum gases in quasi-one-dimensional and quasi-two-dimensional traps

Abstract

The length scale separation in dilute quantum gases in quasi-one-dimensional or quasi-two-dimensional traps has spatially divided the system into two distinct regimes. Whereas universal relations defined in strict one or two dimensions apply in a scale that is much larger than the characteristic length of the transverse confinements, physical observables in the short distances are inevitably governed by three-dimensional contacts. Here, we show that p-wave contacts defined in different length scales are intrinsically connected by a universal relation, which depends on a simple geometric factor of the transverse confinements. While this universal relation is derived for one of the p-wave contacts, it establishes a concrete example of how dimensional crossover interplays with contacts and universal relations for arbitrary partial wave scatterings.

9 pages, 3 figures. A following up work for arXiv:1708.00135. Accepted by PRA

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Cited by in corpus (5)

• Emergent s-wave interactions between identical fermions in quasi-one-dimensional geometries
• Thermodynamic contacts and breathing mode physics of 1D p-wave Fermi gases in the high temperature limit
• Toward precision Fermi liquid theory in two dimensions
• Radio-Frequency Spectroscopy and the Dimensional Crossover in Interacting Spin-Polarized Fermi Gases
• Universal properties and dynamical bosonization of strongly interacting one-dimensional anyons