Non-conformal asymptotic behavior of the time-dependent field-field correlators of 1D anyons

Abstract

The exact large time and distance behavior of the field-field correlators has been computed for one-dimensional impenetrable anyons at finite temperatures. The result reproduces known asymptotics for impenetrable bosons and free fermions in the appropriate limits of the statistics parameter. The obtained asymptotic behavior of the correlators is dominated by the singularity in the spectral density of the quasiparticle states at the bottom of the band, and differs from the predictions of the conformal field theory. One can argue, however, that the anyonic response to the low-energy probes is still determined by the conformal terms in the asymptotic expansion.

5 pages, RevTeX 4

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• One-Dimensional Quantum Liquids: Beyond the Luttinger Liquid Paradigm
• Ground-state energy and excitation spectrum of the Lieb-Liniger model : accurate analytical results and conjectures about the exact solution
• Strongly interacting mesoscopic systems of anyons in one dimension
• One-body reduced density matrix of trapped impenetrable anyons in one dimension
• One-Dimensional Impenetrable Anyons in Thermal Equilibrium. IV. Large Time and Distance Asymptotic Behavior of the Correlation Functions
• Quantum phase transition in a multicomponent anyonic Lieb-Liniger model
• Triple Antidot Molecules