Off-diagonal correlations in one-dimensional anyonic models: A replica approach

Abstract

We propose a generalization of the replica trick that allows to calculate the large distance asymptotic of off-diagonal correlation functions in anyonic models with a proper factorizable ground-state wave-function. We apply this new method to the exact determination of all the harmonic terms of the correlations of a gas of impenetrable anyons and to the Calogero Sutherland model. Our findings are checked against available analytic and numerical results.

19 pages, 5 figures, typos corrected

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Cited by in corpus (18)

• Entanglement entropy of two disjoint intervals in conformal field theory II
• Entanglement negativity in extended systems: A field theoretical approach
• 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
• Luttinger Liquid in Non-equilibrium Steady State
• Subsystem trace distance in low-lying states of $(1+1)$-dimensional conformal field theories
• Ground State Properties of the One-Dimensional Unconstrained Pseudo-Anyon Hubbard Model
• 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
• Quantum phase transition in a multicomponent anyonic Lieb-Liniger model
• Non-equilibrium dynamics of the anyonic Tonks-Girardeau gas at finite temperature
• Exact Dynamical Correlations of Hard-Core Anyons in One-Dimensional Lattices
• Exact spectral function of the Tonks-Girardeau gas at finite temperature
• Determinant formula for the field form factor in the anyonic Lieb-Liniger model
• Dualities for anyons
• Nonequilibrium dynamics in one-dimensional strongly interacting two-component gases
• Universal properties and dynamical bosonization of strongly interacting one-dimensional anyons