One-Dimensional Impenetrable Anyons in Thermal Equilibrium. IV. Large Time and Distance Asymptotic Behavior of the Correlation Functions

Abstract

This work presents the derivation of the large time and distance asymptotic behavior of the field-field correlation functions of impenetrable one-dimensional anyons at finite temperature. In the appropriate limits of the statistics parameter, we recover the well-known results for impenetrable bosons and free fermions. In the low-temperature (usually expected to be the "conformal") limit, and for all values of the statistics parameter away from the bosonic point, the leading term in the correlator does not agree with the prediction of the conformal field theory, and is determined by the singularity of the density of the single-particle states at the bottom of the single-particle energy spectrum.

26 pages, RevTeX 4

References in corpus (20)

• The 1D interacting anyon gas: low-energy properties and Haldane exclusion statistics
• Fermionization and bosonization of expanding 1D anyonic fluids
• Correlation functions of one-dimensional anyonic fluids
• Correlation Functions of One-Dimensional Lieb-Liniger Anyons
• Ground-state properties of one-dimensional anyon gases
• Junctions of anyonic Luttinger wires
• Ground-state properties of hard-core anyons in one-dimensional optical lattices
• Generalized exclusion statistics and degenerate signature of strongly interacting anyons
• Increasing of entanglement entropy from pure to random quantum critical chains
• Bethe Ansatz for 1D interacting anyons
• One-particle density matrix and momentum distribution function of one-dimensional anyon gases
• 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
• Coulomb blockade of anyons
• One-dimensional anyons with competing $\delta$-function and derivative $\delta$-function potentials
• Quantum entanglement of particles on a ring with fractional statistics
• One-Dimensional Impenetrable Anyons in Thermal Equilibrium. III. Large distance asymptotics of the space correlations
• Quantum Inverse Scattering Method with anyonic grading
• Large-Distance Asymptotic Behavior of the Correlation Functions of 1D Impenetrable Anyons at Finite Temperatures
• Non-conformal asymptotic behavior of the time-dependent field-field correlators of 1D anyons

Cited by in corpus (16)

• Exact dynamics following an interaction quench in a one-dimensional anyonic gas
• One-particle density matrix of trapped one-dimensional impenetrable bosons from conformal invariance
• Anyonic tight-binding models of parafermions and of fractionalized fermions
• Strongly interacting mesoscopic systems of anyons in one dimension
• Second quantization of Leinaas-Myrheim anyons in one dimension and their relation to the Lieb-Liniger model
• Correlation functions of one-dimensional strongly interacting two-component gases
• Large time and long distance asymptotics of the thermal correlators of the impenetrable anyonic lattice gas
• On the Dynamics of Free-Fermionic Tau-Functions at Finite Temperature
• One-Body Density Matrix and Momentum Distribution of Strongly Interacting One-Dimensional Spinor Quantum Gases
• Quantum phase transition in a multicomponent anyonic Lieb-Liniger model
• Non-equilibrium dynamics of the anyonic Tonks-Girardeau gas at finite temperature
• Finite temperature spin diffusion in the Hubbard model in the strong coupling limit
• Determinant formula for the field form factor in the anyonic Lieb-Liniger model
• Anyon Quantum Transport and Noise away from Equilibrium
• Generalized Bose-Fermi mapping and strong coupling ansatz wavefunction for one dimensional strongly interacting spinor quantum gases
• Dualities for anyons