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.

arXiv comment9 pages, 3 figures. A following up work for arXiv:1708.00135. Accepted by PRA

References in corpus (54)

• Feshbach Resonances in Ultracold Gases
• Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
• Realization of Bose-Einstein condensates in lower dimensions
• Large momentum part of fermions with large scattering length
• Energetics of a strongly correlated Fermi gas
• Interatomic collisions in a tightly confined Bose gas
• Generalized Virial Theorem and Pressure Relation for a strongly correlated Fermi gas
• Atom-Atom Scattering Under Cylindrical Harmonic Confinement: Numerical and Analytical Studies of the Confinement Induced Resonance
• Exact Relations for a Strongly-interacting Fermi Gas from the Operator Product Expansion
• Verification of universal relations in a strongly interacting Fermi gas
• Contact Measurements on Atomic BEC
• General relations for quantum gases in two and three dimensions. Two-component fermions
• Universal Properties of the Ultra-Cold Fermi Gas
• Tan relations in one dimension
• Exact relations for quantum-mechanical few-body and many-body problems with short-range interactions in two and three dimensions
• Two-dimensional dynamics of expansion of a degenerate Bose gas
• General relations for quantum gases in two and three dimensions. II. Bosons and mixtures
• Measurement of the Homogeneous Contact of a Unitary Fermi gas
• Precise determination of the structure factor and contact in a unitary Fermi gas
• Evidence for universal relations describing a gas with $p$-wave interactions
• Generalized nuclear contacts and the nucleon's momentum distributions
• Temperature dependence of the contact in a unitary Fermi gas
• Causality and the effective range expansion
• Pressure, compressibility, and contact of the two-dimensional attractive Fermi gas
• Momentum Distribution and Contact of the Unitary Fermi gas
• Universal Properties of a Strongly Interacting Fermi Gas at a $p$-wave Resonance
• Universal relations for the two-dimensional spin-1/2 Fermi gas with contact interactions
• Universal properties of Fermi gases in arbitrary dimensions
• Universal high-momentum asymptote and thermodynamic relations in a spinless Fermi gas with a resonant $p$-wave interaction
• Contact and sum-rules in a near-uniform Fermi gas at unitarity
• Concept of contact spectrum and its applications in atomic quantum Hall states
• Universal One-dimensional Atomic Gases Near Odd-wave Resonance
• Causality and universality in low-energy quantum scattering
• Experimental evaluation of the nuclear neutron-proton contact
• Observation of "broad" d-wave Feshbach resonances with a triplet structure
• Revised Huang-Yang multipolar pseudopotential
• Strongly Interacting p-wave Fermi Gas in Two-Dimensions: Universal Relations and Breathing Mode
• 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
• Field-theoretical aspects of one-dimensional Bose and Fermi gases with contact interactions
• Universal Tan relations for quantum gases in one dimension
• Stretching p-wave molecules by transverse confinements
• Contact matrix in dilute quantum systems
• The Generalized Nuclear Contact and its Application to the Photoabsorption Cross-Section
• P-Wave Contact Tensor -- Universal Properties of Axisymmetry-Broken P-Wave Fermi Gases
• Few-body correlations in two-dimensional Bose and Fermi ultracold mixtures
• Effective theory and universal relations for Fermi gases near a $d$-wave interaction resonance
• Sigature of the universal super Efimov Effect: three-body contact in two dimensional Fermi gases
• Analytic structure and power-series expansion of the Jost function for the two-dimensional problem
• Stationary and dynamical properties of two harmonically trapped bosons in the crossover from two dimensions to one
• Fermion superfluid with hybridized $s$- and $p$-wave pairings
• $s$-wave Contacts of Quantum Gases in Quasi-one and Quasi-two Dimensions
• Breathing mode frequency of a strongly interacting Fermi gas across the 2D-3D dimensional crossover
• Width of the confinement-induced resonance in a quasi-one-dimensional trap with transverse anisotropy

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