Universal relations for hybridized $s$- and $p$-wave interactions from spin-orbital coupling

Abstract

In this work, we study the universal relations for one-dimensional spin-orbital-coupled fermions near both $s$- and $p$-wave resonances using effective field theory. Since the spin-orbital coupling mixes different partial waves, a contact matrix is introduced to capture the non-trivial correlation between dimers. We find the signature of the spin-orbital coupling appears at the leading order for the off-diagonal components of the momentum distribution matrix, which is proportional to $1/q^3$ ($q$ is the relative momentum). We further derive the large frequency behavior of the Raman spectroscopy, which serves as an independent measurable quantity for contacts. Finally, we give an explicit example of contacts by considering a two-body problem.

arXiv comment9 pages, 2 figures, update references, published version

References in corpus (86)

• A spin-orbit coupled Bose-Einstein condensate
• Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
• Light-induced gauge fields for ultracold atoms
• Spin-orbit coupling in quantum gases
• Spin-Orbit Coupled Degenerate Fermi Gases
• Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
• Large momentum part of fermions with large scattering length
• Energetics of a strongly correlated Fermi gas
• Degenerate Quantum Gases with Spin-Orbit Coupling
• Collective Dipole Oscillation of a Spin-Orbit Coupled Bose-Einstein Condensate
• Spin-Imbalance in a One-Dimensional Fermi 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
• Spin-Orbit Coupled Quantum Gases
• General relations for quantum gases in two and three dimensions. Two-component fermions
• Universal Properties of the Ultra-Cold Fermi Gas
• Stable Solitons in Three Dimensional Free Space: Self-Trapped Bose-Einstein Condensates with Spin-Orbit Coupling
• 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
• Tuning the interactions of spin-polarized fermions using quasi-one-dimensional confinement
• Measurement of the Homogeneous Contact of a Unitary Fermi gas
• Universal Relations for Identical Bosons from 3-Body Physics
• Two and Three-body Contacts in the Unitary Bose Gas
• Precise determination of the structure factor and contact in a unitary Fermi gas
• Exact Relations for a Strongly-interacting Fermi Gas near a Feshbach Resonance
• Quantum anomaly, universal relations, and breathing mode of a two-dimensional Fermi gas
• Short-Time Operator Product Expansion for rf Spectroscopy of a Strongly-interacting Fermi Gas
• Evidence for universal relations describing a gas with $p$-wave interactions
• 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
• Two-body and Three-body Contacts for Identical Bosons near Unitarity
• Universal high-momentum asymptote and thermodynamic relations in a spinless Fermi gas with a resonant $p$-wave interaction
• Cavity-Assisted Dynamical Spin-Orbit Coupling in Cold Atoms
• Fermi Gases with Synthetic Spin-Orbit Coupling
• Concept of contact spectrum and its applications in atomic quantum Hall states
• Resonant Scattering of Ultracold Atoms in Low Dimensions
• Mixed partial-wave scattering with spin-orbit coupling and validity of pseudo-potentials
• Current response, structure factor and hydrodynamic quantities of a two- and three-dimensional Fermi gas from the operator-product expansion
• Fulde-Ferrell Pairing instability in Spin-Orbit Coupled Fermi Gas
• Universal One-dimensional Atomic Gases Near Odd-wave Resonance
• Dynamical topological phases in quenched spin-orbit coupled degenerate Fermi gas
• Manipulation of p-wave scattering of cold atoms in low dimensions using the magnetic field vector
• Modified Bethe-Peierls boundary condition for ultracold atoms with Spin-Orbit coupling
• 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
• Quantum scattering in one dimension
• High-momentum distribution with subleading $k^{-3}$ tail in the odd-wave interacting one-dimensional Fermi gases
• Engineering quantum magnetism in one-dimensional trapped Fermi gases with p-wave interactions
• Evidence for Bosonization in a three-dimensional gas of SU($N$) fermions
• Universal Tan relations for quantum gases in one dimension
• Scattering and effective interactions of ultracold atoms with spin-orbit coupling
• Two-body relaxation of spin-polarized fermions in reduced dimensionalities near a p-wave Feshbach resonance
• Contact matrix in dilute quantum systems
• Short range asymptotic behavior of the wave-functions of interacting spin-half fermionic atoms with spin-orbit coupling: a model study
• Strongly interacting one-dimensional quantum gas mixtures with weak p-wave interactions
• P-Wave Contact Tensor -- Universal Properties of Axisymmetry-Broken P-Wave Fermi Gases
• Harmonically Trapped Atoms with Spin-Orbit Coupling
• Itinerant ferromagnetism in 1D two-component Fermi gases
• Momentum distribution and contacts of one-dimensional spinless Fermi gases with an attractive p-wave interaction
• 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
• Contact theory for spin-orbit-coupled Fermi gases
• Universal relations and normal phase of an ultracold Fermi gas with coexisting $s$- and $p$-wave interactions
• Photon-Induced Spin-Orbit Coupling in Ultracold Atoms inside Optical Cavity
• Fermion superfluid with hybridized $s$- and $p$-wave pairings
• Quasi-1D atomic gases across wide and narrow confinement-induced-resonances
• Short-range correlations in dilute atomic Fermi gases with spin-orbit coupling
• The Operator Product Expansion Beyond Leading Order for Two-Component Fermions
• Universal Feature in Optical Control of a p-wave Feshbach Resonance
• High-momentum tail and universal relations of a Fermi gas near a Raman-dressed Feshbach resonance
• Universal three-body bound states in mixed dimensions beyond the Efimov paradigm
• Width of the confinement-induced resonance in a quasi-one-dimensional trap with transverse anisotropy
• Effective Hamiltonians for quasi-one-dimensional Fermi gases with spin-orbit coupling
• Universal relations for spin-orbit coupled Fermi gas near an s-wave resonance
• Universal Relations of Ultracold Fermi Gases with Arbitrary Spin-Orbit Coupling
• Itinerant chiral ferromagnetism in a trapped Rashba spin-orbit coupled Fermi gas
• Universal relations and normal-state properties of a Fermi gas with laser-dressed mixed-partial-wave interactions
• Universal relations for spin-orbit-coupled Fermi gases in two and three dimensions
• Universal relations for a spin-polarized Fermi gas in two dimensions
• Multichannel Molecular State and Rectified Short-range Boundary Condition for Spin-orbit Coupled Ultracold Fermions Near p-wave Resonances
• K-matrix formulation of two-particle scattering in a wave guide in the presence of one-dimensional spin-orbit coupling
• Large-momentun tail of one-dimensional Fermi gases with spin-orbit coupling

Cited by in corpus (6)

• Non-Hermitian Squeezed Polarons
• Thermal fading of the $1/k^4$-tail of the momentum distribution induced by the hole anomaly
• Precision Measurement of Spin-Dependent Dipolar Splitting in ${}^6$Li p-Wave Feshbach Resonances
• Universal scattering phase shift in the presence of spin-orbit coupling
• Universal Relations in Long-range Quantum Spin Chains
• Boson-Anyon-Fermion Mapping and Anyon Construction in One Dimension