Spin waves in a one-dimensional spinor Bose gas

Abstract

We study a one-dimensional (iso)spin 1/2 Bose gas with repulsive delta-function interaction by the Bethe Ansatz method and discuss the excitations above the polarized ground state. In addition to phonons the system features spin waves with a quadratic dispersion. We compute analytically and numerically the effective mass of the spin wave and show that the spin transport is greatly suppressed in the strong coupling regime, where the isospin-density (or ``spin-charge'') separation is maximal. Using a hydrodynamic approach, we study spin excitations in a harmonically trapped system and discuss prospects for future studies of two-component ultracold atomic gases.

4 pages, 1 figure

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Cited by in corpus (71)

• One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
• One-Dimensional Quantum Liquids: Beyond the Luttinger Liquid Paradigm
• Dynamics of spin 1/2 quantum plasmas
• Spin magnetohydrodynamics
• Quantum transport through a Tonks-Girardeau gas
• Spin dynamics in a one-dimensional ferromagnetic Bose gas
• Bose polarons in ultracold atoms in one dimension: beyond the Fröhlich paradigm
• Effective Lagrangian for Nonrelativistic Systems
• Spin-charge separation in two-component Bose-gases
• Dynamics and Bloch oscillations of mobile impurities in one-dimensional quantum liquids
• Rabi flopping induces spatial demixing dynamics
• Bloch oscillations in one-dimensional spinor gas
• Ferromagnetic behaviour in the strongly interacting two-component Bose gas
• Quantum Flutter: Signatures and Robustness
• Quantum correlations and spatial localization in one-dimensional ultracold bosonic mixtures
• Dynamics of a one-dimensional spinor Bose liquid: a phenomenological approach
• Quantum magnetism in strongly interacting one-dimensional spinor Bose systems
• Spectral functions of strongly interacting isospin-1/2 bosons in one dimension
• Edge exponent in the dynamic spin structure factor of the Yang-Gaudin model
• Spin and magnetization effects in plasmas
• Mediated interaction between polarons in a one-dimensional Bose gas
• Ground-state properties of interacting two-component Bose gases in a one-dimensional harmonic trap
• Density-functional theory of two-component Bose gases in one-dimensional harmonic traps
• Population-imbalance instability in a Bose-Hubbard ladder in the presence of a magnetic flux
• Magnetic ordering and quantum statistical effects in strongly repulsive Fermi-Fermi and Bose-Fermi mixtures
• Ground-state properties of interacting two-component Bose gases in a hard-wall trap
• Collective dispersion relations for the 1D interacting two-component Bose and Fermi gases
• Excitations in two-component Bose-gases
• Real-time spin-charge separation in one-dimensional Fermi gases from generalized hydrodynamics
• Dark Soliton Interaction of Spinor Bose-Einstein Condensates in an Optical Lattice
• Ground and excited states of spinor Fermi gases in tight waveguides and the Lieb-Liniger-Heisenberg model
• Polarization Suppression and Nonmonotonic Local Two-Body Correlations in the Two-Component Bose Gas in One Dimension
• Dynamics of a Mobile Impurity in a One-Dimensional Bose Liquid
• Equilibrium thermodynamic properties of interacting two-component bosons in one dimension
• Spontaneous population imbalance in two-component Bose and Fermi gases
• Domain walls and bubble-droplets in immiscible binary Bose gases
• Double light-cone dynamics establish thermal states in integrable 1D Bose gases
• Spin modulation instabilities and phase separation dynamics in trapped two-component Bose condensates
• Magnetism and quantum phase transitions in spin-1/2 attractive fermions with polarization
• Dynamics of spin and density fluctuations in strongly interacting few-body systems
• Landau versus Spin Superfluidity in Spinor Bose-Einstein Condensates
• Critical phenomena in one dimension from a Bethe ansatz perspective
• Quantum phase transition in a multicomponent anyonic Lieb-Liniger model
• Microscopic theory of the friction force exerted on a quantum impurity in one-dimensional quantum liquids
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• Quantum Exact Non-Abelian Vortices in Non-relativistic Theories
• Method of difference-differential equations for some Bethe ansatz solvable models
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• The Theory of Generalised Hydrodynamics for the One-dimensional Bose Gas
• Controlling spin motion and interactions in a one-dimensional Bose gas
• The lowest scattering state of one-dimensional Bose gas with attractive interactions
• Ferromagnetic spin-orbital liquid of dipolar fermions in zigzag lattices
• Dynamical symmetry and pair tunneling in a one-dimensional Bose gas colliding with a mobile impurity
• Fermionization of a Few-Body Bose System Immersed into a Bose-Einstein Condensate
• Interfaces between Bose-Einstein and Tonks-Girardeau atomic gases
• The weakening of fermionization of one dimensional spinor Bose gases induced by spin-exchange interaction
• Dispersion relation of a polaron in the Yang-Gaudin Bose gas
• Ground State Properties of Anti-Ferromagnetic Spinor Bose gases in One Dimension
• Relaxation dynamics of a mobile impurity injected into a one-dimensional Bose gas
• Anomalous Proximitized Transport in Metal/Quantum Magnet Heterostructure $\mathrm{B}{\mathrm{i}}_2\mathrm{I}{\mathrm{r}}_2{\mathrm{O}}_7/Y{\mathrm{b}}_2\mathrm{T}{\mathrm{i}}_2{\mathrm{O}}_7$
• Spin-orbit coupled bosons in one dimension: emergent gauge field and Lifshitz transition
• Ferromagnetic to antiferromagnetic transition of one-dimensional spinor Bose gases with spin-orbit coupling
• Bosonization in $R$-paraparticle Luttinger models
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