Strongly interacting one-dimensional quantum gas mixtures with weak p-wave interactions

Abstract

We study one-dimensional strongly interacting quantum gas mixtures, including both the Bose-Fermi and spin-1/2 Fermi-Fermi mixtures, with weak p-wave interactions between intra-component fermions, and demonstrate that the weak p-wave interaction can not be omitted in the strongly interacting regime where the strength of p-wave interactions is comparable with the inverse of the strength of strongly repulsive s-wave interactions. While the total density distribution is not sensitive to the weak p-wave interaction, we find that the p-wave interaction plays an important role in determining the species-dependent (or spin-dependent) density distributions and produces significant physical effects on the low-energy spin dynamics. We also derive effective spin-exchange models for strongly interacting quantum gas mixtures with weak p-wave interactions, which indicate that a quantum phase transition from anti-ferromagnetic state to ferromagnetic state can be induced by tuning the relative strengths of intra-component and inter-component interactions.

10 pages, 5 figures

References in corpus (20)

• Exact Relations for a Strongly-interacting Fermi Gas from the Operator Product Expansion
• Antiferromagnetic Heisenberg Spin Chain of a Few Cold Atoms in a One-Dimensional Trap
• Universal Properties of the Ultra-Cold Fermi Gas
• Instabilities in binary mixtures of one-dimensional quantum degenerate gases
• All-Optical Formation of Quantum Degenerate Mixtures
• Exact Solution of Strongly Interacting Quasi-One-Dimensional Spinor Bose Gases
• Soluble Models of Strongly Interacting Ultracold Gas Mixtures in Tight Waveguides
• Exact solution for infinitely strongly interacting Fermi gases in tight waveguides
• Engineering the Dynamics of Effective Spin-Chain Models for Strongly Interacting Atomic Gases
• Strongly Interacting Quantum Gases in One-Dimensional Traps
• Composite fermionization of 1-D Bose-Bose mixtures
• Effective spin-chain model for strongly interacting one-dimensional atomic gases with an arbitrary spin
• Quantum magnetism in strongly interacting one-dimensional spinor Bose systems
• Magnetism in strongly interacting one-dimensional quantum mixtures
• Exact results for the 1D interacting mixed Bose-Fermi gas
• Ground-state properties of interacting two-component Bose gases in a one-dimensional harmonic trap
• Magnetic ordering and quantum statistical effects in strongly repulsive Fermi-Fermi and Bose-Fermi mixtures
• One-dimensional fermionic gases with attractive p-wave interaction in a hard-wall trap
• Strongly interacting Bose-Fermi mixtures in one dimension
• Yang-Yang thermodynamics of Bose-Fermi Mixture

Cited by in corpus (22)

• One-dimensional mixtures of several ultracold atoms: a review
• Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
• Universal One-dimensional Atomic Gases Near Odd-wave Resonance
• Momentum distributions and numerical methods for strongly interacting one-dimensional spinor gases
• Spin-chain model for strongly interacting one-dimensional Bose-Fermi mixtures
• Probing open- and closed-channel p-wave resonances
• Momentum distribution and contacts of one-dimensional spinless Fermi gases with an attractive p-wave interaction
• One-Body Density Matrix and Momentum Distribution of Strongly Interacting One-Dimensional Spinor Quantum Gases
• Impurity induced quantum chaos for an ultracold bosonic ensemble in a double-well
• Exact ordering of energy levels for one-dimensional interacting Fermi gases with $SU(n)$ symmetry
• Dynamical realization of magnetic states in a strongly interacting Bose mixture
• Variational ansatz for $p$-wave fermions confined in a one-dimensional harmonic trap
• Bunching-antibunching crossover in harmonically trapped few-body Bose-Fermi mixtures
• Tuning an effective spin chain of three strongly interacting one-dimensional fermions with the transversal confinement
• Universal relations and normal-state properties of a Fermi gas with laser-dressed mixed-partial-wave interactions
• Universal relations for hybridized $s$- and $p$-wave interactions from spin-orbital coupling
• A generalized effective spin-chain formalism for strongly interacting spinor gases in optical lattice
• Spectroscopy and spin dynamics for strongly interacting few spinor bosons in one-dimensional traps
• Interaction-induced Bloch Oscillation in a Harmonically Trapped and Fermionized Quantum Gas in One Dimension
• Local manipulation of quantum magnetism in 1D ultracold Fermi gases across narrow resonances
• Resonance-facilitated three-channel p-wave scattering
• Strongly Repulsive 1D Gases at Higher Branches: Spin-Charge Correlation and Coupled Spin-Chain Model