Correlation Functions of One-Dimensional Lieb-Liniger Anyons

Abstract

We have investigated the properties of a model of 1D anyons interacting through a $\delta$-function repulsive potential. The structure of the quasi-periodic boundary conditions for the anyonic field operators and the many-anyon wavefunctions is clarified. The spectrum of the low-lying excitations including the particle-hole excitations is calculated for periodic and twisted boundary conditions. Using the ideas of the conformal field theory we obtain the large-distance asymptotics of the density and field correlation function at the critical temperature T=0 and at small finite temperatures. Our expression for the field correlation function extends the results in the literature obtained for harmonic quantum anyonic fluids.

19 pages, RevTeX 4

References in corpus (6)

• Bosonizing one-dimensional cold atomic gases
• The 1D interacting anyon gas: low-energy properties and Haldane exclusion statistics
• Anyon-fermion mapping and applications to ultracold gases in tight waveguides
• Generalized exclusion statistics and degenerate signature of strongly interacting anyons
• Bethe Ansatz for 1D interacting anyons
• Coulomb blockade of anyons

Cited by in corpus (9)

• Fermionization and bosonization of expanding 1D anyonic fluids
• 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
• 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
• One-dimensional anyons with competing $\delta$-function and derivative $\delta$-function potentials
• Quantum Inverse Scattering Method with anyonic grading