Effective spin-chain model for strongly interacting one-dimensional atomic gases with an arbitrary spin

Abstract

We present a general form of the effective spin-chain model for strongly interacting atomic gases with an arbitrary spin in the one-dimensional(1D) traps. In particular, for high-spin systems the atoms can collide in multiple scattering channels, and we find that the resulted form of spin-chain model generically follows the same structure as that of the interaction potentials. This is a unified form working for any spin, statistics (Bose or Fermi) and confinement potentials. We adopt the spin-chain model to reveal both the ferromagnetic(FM) and anti-ferromagnetic(AFM) magnetic orders for strongly interacting spin-1 bosons in 1D traps. We further show that by adding the spin-orbit coupling, the FM/AFM orders can be gradually destroyed and eventually the ground state exhibits universal spin structure and contacts that are independent of the strength of spin-orbit coupling.

11 pages, 7 figures; more discussions on the spin-chain model and more refs added

References in corpus (13)

• Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
• Antiferromagnetic Heisenberg Spin Chain of a Few Cold Atoms in a One-Dimensional Trap
• Exact Solution of Strongly Interacting Quasi-One-Dimensional Spinor Bose Gases
• Exact solution for infinitely strongly interacting Fermi gases in tight waveguides
• Soluble Models of Strongly Interacting Ultracold Gas Mixtures in Tight Waveguides
• Engineering the Dynamics of Effective Spin-Chain Models for Strongly Interacting Atomic Gases
• Strongly Interacting Quantum Gases in One-Dimensional Traps
• Ferromagnetic behaviour in the strongly interacting two-component Bose gas
• Magnetism in strongly interacting one-dimensional quantum mixtures
• Phase Separation in Mixtures of Repulsive Fermi Gases Driven by Mass Difference
• Spectral functions of strongly interacting isospin-1/2 bosons in one dimension
• Magnetic ordering and quantum statistical effects in strongly repulsive Fermi-Fermi and Bose-Fermi mixtures
• Spin structure of harmonically trapped one-dimensional atoms with spin-orbit coupling

Cited by in corpus (61)

• Colloquium: Atomic spin chains on surfaces
• One-dimensional mixtures of several ultracold atoms: a review
• Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
• High order exceptional points in ultracold Bose gases
• Momentum distributions and numerical methods for strongly interacting one-dimensional spinor gases
• Few strongly interacting ultracold fermions in one-dimensional traps of different shapes
• Strongly interacting trapped one-dimensional quantum gases: an exact solution
• Spin-chain model for strongly interacting one-dimensional Bose-Fermi mixtures
• Engineering quantum magnetism in one-dimensional trapped Fermi gases with p-wave interactions
• CONAN -- the cruncher of local exchange coefficients for strongly interacting confined systems in one dimension
• Bose-Fermi Mapping and Multi-Branch Spin Chain Model for Strongly Interacting Quantum Gases in One-Dimension: Dynamics and Collective Excitations
• Four fermions in a one-dimensional harmonic trap: Accuracy of a variational-ansatz approach
• Higher-order local and non-local correlations for 1D strongly interacting Bose gas
• Strongly correlated one-dimensional Bose-Fermi quantum mixtures: symmetry and correlations
• Strongly interacting one-dimensional quantum gas mixtures with weak p-wave interactions
• Spectral properties and breathing dynamics of a few-body Bose-Bose mixture in a 1D harmonic trap
• Realizing time crystals in discrete quantum few-body systems
• Analytical and numerical studies of Bose-Fermi mixtures in a one-dimensional harmonic trap
• Comparing numerical and analytical approaches to strongly interacting two-component mixtures in one dimensional traps
• Two interacting ultracold molecules in a one-dimensional harmonic trap
• An interpolatory ansatz captures the physics of one-dimensional confined Fermi systems
• Dynamics of spin and density fluctuations in strongly interacting few-body systems
• Exact ordering of energy levels for one-dimensional interacting Fermi gases with $SU(n)$ symmetry
• Phase separation of a Bose-Bose mixture: impact of the trap and particle number imbalance
• Entanglement of an Impurity in a Few-Body One-Dimensional Ideal Bose System
• One-Body Density Matrix and Momentum Distribution of Strongly Interacting One-Dimensional Spinor Quantum Gases
• Global optimization for quantum dynamics of few-fermion systems
• Two-point momentum correlations of few ultracold quasi-one-dimensional trapped fermions: Diffraction patterns
• Repulsive Fermi polarons with negative effective mass
• Dynamical fermionization in a one-dimensional Bose-Fermi mixture
• Engineering entanglement Hamiltonians with strongly interacting cold atoms in optical traps
• Spin-incoherent Luttinger liquid of one-dimensional spin-1 Tonks-Girardeau Bose gas: Spin-dependent properties
• Spin-incoherent Luttinger liquid of one-dimensional SU($\kappa$) fermions
• Dynamical realization of magnetic states in a strongly interacting Bose mixture
• Strongly interacting spin-orbit coupled Bose-Einstein condensates in one dimension
• Tuning an effective spin chain of three strongly interacting one-dimensional fermions with the transversal confinement
• Effects of interaction imbalance in a strongly repulsive one-dimensional Bose gas
• Symmetry oscillations in strongly interacting one-dimensional mixtures
• Exact closed-form analytic wave functions in two dimensions: Contact-interacting fermionic spinful ultracold atoms in a rapidly rotating trap
• Ultrastable super-Tonks-Girardeau gases under weak dipolar interactions
• Mobile Spin Impurity in an Optical Lattice
• Universal low energy physics in one-dimensional multicompnent Fermi gases with a strongly repulsive $\delta$-function interaction
• A generalized effective spin-chain formalism for strongly interacting spinor gases in optical lattice
• State transfer in an inhomogeneous spin chain
• The Goldilocks model of separable, zero-range, few-body interactions in one-dimensional harmonic traps
• Dynamical fermionization in one-dimensional spinor gases at finite temperature
• Quantum correlations and spatial localization in trapped one-dimensional ultra-cold Bose-Bose-Bose mixtures
• Emergence of junction dynamics in a strongly interacting Bose mixture
• Spectroscopy and spin dynamics for strongly interacting few spinor bosons in one-dimensional traps
• Generalized Bose-Fermi mapping and strong coupling ansatz wavefunction for one dimensional strongly interacting spinor quantum gases
• Ground State Properties of Anti-Ferromagnetic Spinor Bose gases in One Dimension
• 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
• Nonequilibrium dynamics in one-dimensional strongly interacting two-component gases
• Exact spectral function and nonequilibrium dynamics of the strongly interacting Hubbard model
• Dynamical probing of high-order spin coherence in one-dimensional mixtures
• Manifold formation and crossings of ultracold lattice spinor atoms in the intermediate interaction regime
• Numerical methods and analytic results for one-dimensional strongly interacting spinor gases
• Strongly Repulsive 1D Gases at Higher Branches: Spin-Charge Correlation and Coupled Spin-Chain Model
• Symmetry oscillations sensitivity to SU(2)-symmetry breaking in quantum mixtures
• Generation of spin currents by a temperature gradient in a two-terminal device