Spin-incoherent one-dimensional spin-1 Bose Luttinger liquid

Abstract

We investigate spin-incoherent Luttinger liquid of a one-dimensional spin-1 Bose gas in a harmonic trap. In this regime highly degenerate spin configurations emerge since the spin exchange energy is much less than the thermal energy of the system, while the temperature is low enough that the lowest energetic orbitals are occupied. As an example we numerically study the momentum distribution of a one-dimensional spin-1 Bose gas in Tonks- Girardeau gas limit and in the sector of zero magnetization.We find that the momentum distributions broaden as the number of atoms increase due to the averaging of spin function overlaps. Large momentum ($p$) asymptotic is analytically derived, showing the universal $1/p^4$ dependence. We demonstrate that the spin-incoherent Luttinger liquid has a momentum distribution also distinct from spinless bosons at finite temperature.

arXiv comment5 figures

References in corpus (36)

• Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
• Spinor Bose Condensates in Optical Traps
• One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
• Bose-Einstein condensation with internal degrees of freedom in alkali atom gases
• Bragg spectroscopy of a Bose-Einstein condensate
• Energetics of a strongly correlated Fermi gas
• Realization of an Excited, Strongly-Correlated Quantum Gas Phase
• The Excitation Spectrum of a Bose-Einstein Condensate
• Exact Relations for a Strongly-interacting Fermi Gas from the Operator Product Expansion
• The unitary gas in an isotropic harmonic trap: symmetry properties and applications
• Short-Distance Correlation Properties of the Lieb-Liniger System and Momentum Distributions of Trapped One-Dimensional Atomic Gases
• Ground state properties of a one-dimensional condensate of hard core bosons in a harmonic trap
• Bragg spectroscopy of a strongly interacting 85Rb Bose-Einstein condensate
• Strongly interacting confined quantum systems in one dimension
• Bragg spectroscopy of a strongly interacting Fermi gas
• Number of closed-channel molecules in the BEC-BCS crossover
• Universal Properties of the Ultra-Cold Fermi Gas
• Tan relations in one dimension
• Quantum magnetism without lattices in strongly interacting one-dimensional spinor gases
• The spin-incoherent Luttinger liquid
• Bose-Einstein condensation into non-equilibrium states studied by condensate focusing
• Exact Solution of Strongly Interacting Quasi-One-Dimensional Spinor Bose Gases
• Soluble Models of Strongly Interacting Ultracold Gas Mixtures in Tight Waveguides
• High-momentum tail in the Tonks gas under harmonic confinement
• Exact Relations for a Strongly-interacting Fermi Gas near a Feshbach Resonance
• Strongly Interacting Quantum Gases in One-Dimensional Traps
• Virial theorems for trapped cold atoms
• Universal scaling of density and momentum distributions in Lieb-Liniger gases
• Yang-Yang thermometry and momentum distribution of a trapped one-dimensional Bose gas
• Momentum distribution of 1D Bose gases at the quasi-condensation crossover: theoretical and experimental investigation
• Momentum-space correlations of a one-dimensional Bose gas
• Low-temperature crossover in the momentum distribution of cold atomic gases in one dimension
• Spectroscopy for a Few Atoms Harmonically-Trapped in One Dimension
• Momentum distributions and numerical methods for strongly interacting one-dimensional spinor gases
• Photon Counting for Bragg Spectroscopy of Quantum Gases
• Permutation symmetry in spinor quantum gases: selection rules, conservation laws, and correlations

Cited by in corpus (7)

• Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
• Universal Tan relations for quantum gases in one dimension
• Dynamical fermionization in a one-dimensional Bose-Fermi mixture
• Spin-incoherent Luttinger liquid of one-dimensional SU($\kappa$) fermions
• Spin-incoherent Luttinger liquid of one-dimensional spin-1 Tonks-Girardeau Bose gas: Spin-dependent properties
• Fractional exclusion statistics and thermodynamics of the Hubbard chain in the spin-incoherent Luttinger liquid regime
• Numerical methods and analytic results for one-dimensional strongly interacting spinor gases