Two-spinon effects on the thermal Tonks-Girardeau gas
arXiv:2410.20929 · doi:10.1088/1402-4896/ae24c1
Abstract
We study the effects of the two-spinon excitations on the field-field correlator of the Tonks-Girardeau gas. While these excitations have been previously examined in the ground state of the system, their role at finite temperatures remains unexplored. Here, we extend the analysis to the one-dimensional interacting Bose gas at thermal equilibrium, focusing on the one-body correlation function of the infinitely repulsive Lieb-Liniger model. We demonstrate that two-spinon excitations, characterized by two holes within the rapidity distribution, constitute the dominant contribution to the field-field correlator at low temperatures. Furthermore, we analytically show that incorporating additional particle-hole excitations diminishes their contribution, highlighting the efficacy of the two-spinon framework in capturing the essential physics of the system. Numerical evaluations of both the Fredholm determinant and the spectral sum stemming from the two-spinon program, with the addition of particle-hole excitations, reveal convergence at low temperatures.
19 pages, 4 figures
References in corpus (48)
- Nonequilibrium dynamics of closed interacting quantum systems
- Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
- One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
- Light-cone-like spreading of correlations in a quantum many-body system
- Non-equilibrium coherence dynamics in one-dimensional Bose gases
- Exciting Collective Oscillations in a Trapped 1D Gas
- Polarons, Dressed Molecules, and Itinerant Ferromagnetism in ultracold Fermi gases
- Quantum quenches in 1+1 dimensional conformal field theories
- Quantum dynamics of impurities in a 1D Bose gas
- Ultracold atoms out of equilibrium
- Fermi-Polaron: Diagrammatic Monte Carlo for Divergent Sign-Alternating Series
- Solution for an interaction quench in the Lieb-Liniger Bose gas
- On the Numerical Evaluation of Fredholm Determinants
- Dynamical density-density correlations in the one-dimensional Bose gas
- Probing the Excitations of a Lieb-Liniger Gas from Weak to Strong Coupling
- Bloch oscillations in the absence of a lattice
- 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
- Bose polarons in ultracold atoms in one dimension: beyond the Fröhlich paradigm
- Finite temperature correlations in the Lieb-Liniger 1D Bose gas
- Quench Dynamics and Orthogonality Catastrophe of Bose Polarons
- Determinant representation for dynamical correlation functions of the Quantum nonlinear Schrödinger equation
- Correlation functions and momentum distribution of one-dimensional Bose systems
- Extracting density-density correlations from in situ images of atomic quantum gases
- Correlation functions of integrable models: a description of the ABACUS algorithm
- Quantum Monte-Carlo study of the Bose polaron problem in a one-dimensional gas with contact interactions
- Non-local pair correlations in the 1D Bose gas at finite temperature
- Momentum relaxation of a mobile impurity in a one-dimensional quantum gas
- Quantum Breathing of an Impurity in a One-dimensional Bath of Interacting Bosons
- Kinetic theory for a mobile impurity in a degenerate Tonks-Girardeau gas
- Generalized hydrodynamics regime from the thermodynamic bootstrap program
- Correlation functions of a Lieb-Liniger Bose gas
- Relaxation dynamics of the Lieb-Liniger gas following an interaction quench: A coordinate Bethe-ansatz analysis
- Particle-hole pairs and density-density correlations in the Lieb-Liniger model
- One-Dimensional Impenetrable Anyons in Thermal Equilibrium. I. Anyonic Generalization of Lenard's Formula
- One-Dimensional Impenetrable Anyons in Thermal Equilibrium. II. Determinant Representation for the Dynamic Correlation Functions
- Thermodynamic bootstrap program for integrable QFT's: Form factors and correlation functions at finite energy density
- Mean-field construction for spectrum of one-dimensional Bose polaron
- Quantum Boltzmann equation for a mobile impurity in a degenerate Tonks-Girardeau gas
- A coordinate Bethe ansatz approach to the calculation of equilibrium and nonequilibrium correlations of the one-dimensional Bose gas
- Quench Dynamics in Bose condensates in the Presence of a Bath: Theory and Experiment
- Pattern formation in one-dimensional polaron systems and temporal orthogonality catastrophe
- Effective free-fermionic form factors and the XY spin chain
- On the Dynamics of Free-Fermionic Tau-Functions at Finite Temperature
- Microscopic theory of the friction force exerted on a quantum impurity in one-dimensional quantum liquids
- Scaling properties of the Tan's contact: embedding pairs and correlation effect in the Tonks limit
- Correlation evolution in dilute Bose-Einstein condensates after quantum quenches
- The relevant excitations for the one-body function in the Lieb-Liniger model