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 (15)

• Fault-tolerant quantum computation by anyons
• Topologically-Protected Qubits from a Possible Non-Abelian Fractional Quantum Hall State
• Bosonizing one-dimensional cold atomic gases
• Exact solution of double-delta function Bose gas through interacting anyon gas
• The 1D interacting anyon gas: low-energy properties and Haldane exclusion statistics
• Anyons and Chiral Solitons on a Line
• 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
• Bosonization at Finite Temperature and Anyon Condensation
• 1D generalized statistics gas: A gauge theory approach
• Coulomb blockade of anyons
• Quantum computation with quasiparticles of the Fractional Quantum Hall Effect
• Anyons and the Bose-Fermi duality in the finite-temperature Thirring model
• Do anyons solve Heisenberg's Urgleichung in one dimension

Cited by in corpus (52)

• 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
• Exact dynamics following an interaction quench in a one-dimensional anyonic gas
• Dynamical properties of hard-core anyons in one-dimensional optical lattices
• One-particle density matrix and momentum distribution function of one-dimensional anyon gases
• One-particle density matrix of trapped one-dimensional impenetrable bosons from conformal invariance
• Quantum Walks of Two Interacting Anyons in 1D Optical Lattices
• 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
• Entanglement between particle partitions in itinerant many-particle states
• Strongly interacting mesoscopic systems of anyons in one dimension
• Anyonic tight-binding models of parafermions and of fractionalized fermions
• Ground State Properties of the One-Dimensional Unconstrained Pseudo-Anyon Hubbard Model
• One-particle density matrix of a trapped Lieb-Liniger anyonic gas
• Anyons from Three-Body Hard-Core Interactions in One Dimension
• One-dimensional anyons with competing $\delta$-function and derivative $\delta$-function potentials
• One-body reduced density matrix of trapped impenetrable anyons in one dimension
• Topological Exchange Statistics in One Dimension
• Off-diagonal correlations in one-dimensional anyonic models: A replica approach
• Correlation functions of one-dimensional strongly interacting two-component gases
• Probing the exchange statistics of one-dimensional anyon models
• Ground state properties of hard-core anyons in a harmonic potential
• Large time and long distance asymptotics of the thermal correlators of the impenetrable anyonic lattice gas
• One-Dimensional Impenetrable Anyons in Thermal Equilibrium. III. Large distance asymptotics of the space correlations
• One-Dimensional Impenetrable Anyons in Thermal Equilibrium. IV. Large Time and Distance Asymptotic Behavior of the Correlation Functions
• Effective free-fermionic form factors and the XY spin chain
• Quantum Inverse Scattering Method with anyonic grading
• Correlation functions and momentum distribution of one-dimensional hard-core anyons in optical lattices
• Condensation of Anyons in Frustrated Quantum Magnets
• 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
• Large-Distance Asymptotic Behavior of the Correlation Functions of 1D Impenetrable Anyons at Finite Temperatures
• Exact Dynamical Correlations of Hard-Core Anyons in One-Dimensional Lattices
• Anyonic Liquids in Nearly Saturated Spin Chains
• Non-conformal asymptotic behavior of the time-dependent field-field correlators of 1D anyons
• Quasimomentum distribution and expansion of an anyonic gas
• Exact spectral function of the Tonks-Girardeau gas at finite temperature
• One-dimensional hard-core anyon gas in a harmonic trap at finite temperature
• Determinant formula for the field form factor in the anyonic Lieb-Liniger model
• Beyond braid statistics: Constructing a lattice model for anyons with exchange statistics intrinsic to one dimension
• Generalized Bose-Fermi mapping and strong coupling ansatz wavefunction for one dimensional strongly interacting spinor quantum gases
• Thermodynamics of Statistical Anyons
• Dualities for anyons
• Fermionic anyons: entanglement and quantum computation from a resource-theoretic perspective
• Nonequilibrium dynamics in one-dimensional strongly interacting two-component gases
• Universal properties and dynamical bosonization of strongly interacting one-dimensional anyons
• Boson-Anyon-Fermion Mapping and Anyon Construction in One Dimension
• Quench Dynamics of Anyon Tonks-Girardeau Gases