Correlation functions of one-dimensional anyonic fluids

Abstract

A universal description of correlation functions of one-dimensional anyonic gapless systems in the low-momentum regime is presented. We point out a number of interesting features, including universal oscillating terms with frequency proportional to the statistical parameter and beating effects close to the fermion points. The results are applied to the one-dimensional anyonic Lieb-Liniger model and checked against the exact results in the impenetrable limit.

4 pages, 1 figure

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Cited by in corpus (56)

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• Floquet realization and signatures of one-dimensional anyons in an optical lattice
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• 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
• Ground-state properties of anyons in a one-dimensional lattice
• Bosonic continuum theory of one-dimensional lattice anyons
• 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
• Luttinger Liquid in Non-equilibrium Steady State
• Asymmetric Particle Transport and Light-Cone Dynamics Induced by Anyonic Statistics
• Anyonic tight-binding models of parafermions and of fractionalized fermions
• Critical points of the anyon-Hubbard model
• Ground State Properties of the One-Dimensional Unconstrained Pseudo-Anyon Hubbard Model
• One-particle density matrix of a trapped Lieb-Liniger anyonic gas
• One-dimensional anyons with competing $\delta$-function and derivative $\delta$-function potentials
• One-body reduced density matrix of trapped impenetrable anyons in one dimension
• Off-diagonal correlations in one-dimensional anyonic models: A replica approach
• Quantum entanglement of particles on a ring with fractional statistics
• 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
• 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
• Deviations from Off-Diagonal Long-Range Order in One-Dimensional Quantum Systems
• Statistical correlations in an ideal gas of particles obeying fractional exclusion statistics
• Quantum Inverse Scattering Method with anyonic grading
• Correlation functions and momentum distribution of one-dimensional hard-core anyons in optical lattices
• Three-body interaction effects on the ground state of one-dimensional anyons
• 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
• Phase diagram of the ${\mathbb{Z}}_3$-Fock parafermion chain with pair hopping
• 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
• One-dimensional hard-core anyon gas in a harmonic trap at finite temperature
• Quantum Integrable 1D anyonic Models: Construction through Braided Yang-Baxter Equation
• 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
• Thermodynamics of Statistical Anyons
• Nonequilibrium dynamics in one-dimensional strongly interacting two-component gases
• Universal properties and dynamical bosonization of strongly interacting one-dimensional anyons
• Numerical methods and analytic results for one-dimensional strongly interacting spinor gases
• Encoding a topological gauge theory on a ring-shaped Raman-coupled Bose gas
• Quench Dynamics of Anyon Tonks-Girardeau Gases
• One-dimensional anyons in relativistic field theory