Polarizability and dynamic structure factor of the one-dimensional Bose gas near the Tonks-Girardeau limit at finite temperatures
arXiv:cond-mat/0507086 · doi:10.1103/PhysRevA.73.023612
Abstract
Correlation functions related to the dynamic density response of the one-dimensional Bose gas in the model of Lieb and Liniger are calculated. An exact Bose-Fermi mapping is used to work in a fermionic representation with a pseudopotential Hamiltonian. The Hartree-Fock and generalized random phase approximations are derived and the dynamic polarizability is calculated. The results are valid to first order in 1/γwhere γis Lieb-Liniger coupling parameter. Approximations for the dynamic and static structure factor at finite temperature are presented. The results preclude superfluidity at any finite temperature in the large-γregime due to the Landau criterion. Due to the exact Bose-Fermi duality, the results apply for spinless fermions with weak p-wave interactions as well as for strongly interacting bosons.
arXiv comment13 pages, 5 figures, the journal version
References in corpus (28)
- Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
- Transition from a strongly interacting 1D superfluid to a Mott insulator
- Exciting Collective Oscillations in a Trapped 1D Gas
- Motion of a heavy impurity through a Bose-Einstein condensate
- Stability and phase coherence of trapped 1D Bose gases
- Pair correlations in a finite-temperature 1D Bose gas
- Short-Distance Correlation Properties of the Lieb-Liniger System and Momentum Distributions of Trapped One-Dimensional Atomic Gases
- Fermion-Boson Duality of One-dimensional Quantum Particles with Generalized Contact Interaction
- Tuning the interactions of spin-polarized fermions using quasi-one-dimensional confinement
- Emergence of quasi-condensates of hard-core bosons at finite momentum
- Correlation functions and momentum distribution of one-dimensional Bose systems
- Local correlations in a strongly interacting 1D Bose gas
- Theory of spinor Fermi and Bose gases in tight atom waveguides
- One-dimensional optical lattices and impenetrable bosons
- Non-divergent pseudo-potential treatment of spin-polarized fermions under 1D and 3D harmonic confinement
- Supercurrent Stability in a Quasi-1D Weakly Interacting Bose Gas
- The Dynamic Structure Factor of the 1D Bose Gas near the Tonks-Girardeau Limit
- Dynamic structure factor of ultracold Bose and Fermi gases in optical lattices
- Superfluidity versus Bloch oscillations in confined atomic gases
- Exact solution of a 1D many-body system with momentum dependent interactions
- The fermionic limit of the delta-function Bose gas: a pseudopotential approach
- Perturbation Theory for Singular Potentials in Quantum Mechanics
- A density-functional approach to fermionization in the 1D Bose gas
- Pseudoparticle-operator description of an interacting Bose gas
- Self-consistent calculation of the coupling constant in the Gross-Pitaevskii equation
- Time and Temperature Dependent Correlation Functions of 1D Models of Quantum Statistical Mechanics
- First Order Static Excitation Potential: Scheme for Excitation Energies and Transition Moments
- Temperature Corrections to Conformal Field Theory
Cited by in corpus (44)
- Dynamical density-density correlations in the one-dimensional Bose gas
- Probing the Excitations of a Lieb-Liniger Gas from Weak to Strong Coupling
- One-particle dynamical correlations in the one-dimensional Bose gas
- Dynamical structure factor of one-dimensional Bose gases: experimental signatures of beyond-Luttinger liquid physics
- Finite temperature correlations in the Lieb-Liniger 1D Bose gas
- Non-local pair correlations in the 1D Bose gas at finite temperature
- Spin-charge separation in a 1D Fermi gas with tunable interactions
- Spatial nonlocal pair correlations in a repulsive 1D Bose gas
- Separation of Timescales in a Quantum Newton's Cradle
- Measurement of the Dynamical Structure Factor of a 1D Interacting Fermi Gas
- Ground-state energy and excitation spectrum of the Lieb-Liniger model : accurate analytical results and conjectures about the exact solution
- Exact correlations in the Lieb-Liniger model and detailed balance out-of-equilibrium
- Theory of superfluidity and drag force in the one-dimensional Bose gas
- Relaxation dynamics of the Lieb-Liniger gas following an interaction quench: A coordinate Bethe-ansatz analysis
- Edge singularities and quasi-long-range order in non-equilibrium steady states
- Quasi-local charges and the Generalized Gibbs Ensemble in the Lieb-Liniger model
- Dynamic and static density-density correlations in the one-dimensional Bose gas: exact results and approximations
- Dynamic structure factor and drag force in a one-dimensional strongly-interacting Bose gas at finite temperature
- Comparative study of one-dimensional Bose and Fermi gases with contact interactions from the viewpoint of universal relations for correlation functions
- A coordinate Bethe ansatz approach to the calculation of equilibrium and nonequilibrium correlations of the one-dimensional Bose gas
- Emergence and disruption of spin-charge separation in one-dimensional repulsive fermions
- Analytic solutions of the 1D finite coupling delta function Bose gas
- Decay of superfluid currents in the interacting one-dimensional Bose gas
- Analytic thermodynamic properties of the Lieb-Liniger gas
- Correlation properties of a one-dimensional repulsive Bose gas at finite temperature
- Temperature-driven crossover in the Lieb-Liniger model
- Driven impurity in an ultracold 1D Bose gas with intermediate interaction strength
- Exact results of dynamical structure factor of Lieb-Liniger model
- Single-particle density matrix for a time-dependent strongly interacting one-dimensional Bose gas
- Duality between weak and strong interactions in quantum gases
- Interacting bosons in an optical lattice: Bose-Einstein condensates and Mott insulator
- Perturbative correction to the ground state properties of one-dimensional strongly interacting bosons in a harmonic trap
- Approximate expression for the dynamic structure factor in the Lieb-Liniger model
- Mesoscopic density grains in the 1d interacting Bose gas from the exact Yang-Yang solution
- Nature of Lieb's "hole" excitations and two-phonon states of a Bose gas
- Bulk viscosity of dual Bose and Fermi gases in one dimension
- One-body dynamical correlation function of Lieb-Liniger model at finite temperature
- The properties of Tonk-Girardeau Gas at Finite Temperature and Comparison with Polarized Free Fermions
- Wavelet representation of hardcore bosons
- Momentum distribution and non-local high order correlation functions of 1D strongly interacting Bose gas
- Nonlocal pair correlations in Lieb-Liniger gases: A unified nonperturbative approach from weak degeneracy to high temperatures
- Landau instability and mobility edges of the interacting one-dimensional Bose gas in weak random potentials
- Pair Distribution Function of One-dimensional "Hard Sphere" Fermi and Bose Systems
- Hole-induced anomaly in the thermodynamic behavior of a one-dimensional Bose gas