Generalized exclusion statistics and degenerate signature of strongly interacting anyons

Abstract

We show that below the degenerate temperature the distribution profiles of strongly interacting anyons in one dimension coincide with the most probable distributions of ideal particles obeying generalized exclusion statistics (GES). In the strongly interacting regime the thermodynamics and the local two-particle correlation function derived from the GES are seen to agree for low temperatures with the results derived for the anyon model using the thermodynamic Bethe Ansatz. The anyonic and dynamical interactions implement a continuous range of GES, providing a signature of strongly interacting anyons, including the strongly interacting one-dimensional Bose gas.

arXiv comment7 pages, 3 figures, expanded version

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Cited by in corpus (41)

• Phase Transitions and Pairing Signature in Strongly Attractive Fermi Atomic Gases
• Correlation functions of one-dimensional anyonic fluids
• Ferromagnetic behaviour in the strongly interacting two-component Bose gas
• Correlation Functions of One-Dimensional Lieb-Liniger Anyons
• Thermodynamic Geometry of Fractional Statistics
• Junctions of anyonic Luttinger wires
• Ground-state properties of one-dimensional anyon gases
• Ground-state properties of hard-core anyons in one-dimensional optical lattices
• Bethe Ansatz for 1D interacting anyons
• 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
• Ground-state properties of anyons in a one-dimensional lattice
• Entanglement properties and moment distributions of a system of hard-core anyons on a ring
• Realization of effective super Tonks-Girardeau gases via strongly attractive one-dimensional Fermi gases
• 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
• Polylogs, thermodynamics and scaling functions of one-dimensional quantum many-body systems
• 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
• Ground state properties of hard-core anyons in a harmonic potential
• One-Dimensional Impenetrable Anyons in Thermal Equilibrium. IV. Large Time and Distance Asymptotic Behavior of the Correlation Functions
• Quantum Inverse Scattering Method with anyonic grading
• Correlation functions and momentum distribution of one-dimensional hard-core anyons in optical lattices
• One-Body Density Matrix and Momentum Distribution of Strongly Interacting One-Dimensional Spinor Quantum Gases
• Condensation of Anyons in Frustrated Quantum Magnets
• Quantum phase transition in a multicomponent anyonic Lieb-Liniger model
• 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
• Quantum Alchemy and Universal Orthogonality Catastrophe in One-Dimensional Anyons
• Generalized Bose-Fermi mapping and strong coupling ansatz wavefunction for one dimensional strongly interacting spinor quantum gases
• Thermodynamics of Statistical Anyons
• Dualities for anyons
• Nonequilibrium dynamics in one-dimensional strongly interacting two-component gases
• Exotic critical states as fractional Fermi seas in the one-dimensional Bose gas