One-Dimensional Impenetrable Anyons in Thermal Equilibrium. II. Determinant Representation for the Dynamic Correlation Functions

Abstract

We have obtained a determinant representation for the time- and temperature-dependent field-field correlation function of the impenetrable Lieb-Liniger gas of anyons through direct summation of the form factors. In the static case, the obtained results are shown to be equivalent to those that follow from the anyonic generalization of Lenard's formula.

16 pages, RevTeX 4

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• One-particle density matrix of trapped one-dimensional impenetrable bosons from conformal invariance
• Strongly interacting mesoscopic systems of anyons in one dimension
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• Off-diagonal correlations in one-dimensional anyonic models: A replica approach
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• Large time and long distance asymptotics of the thermal correlators of the impenetrable anyonic lattice gas
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• 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
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• Nonequilibrium dynamics in one-dimensional strongly interacting two-component gases
• Finite temperature single-particle Green's function in the Lieb-Liniger model
• Numerical methods and analytic results for one-dimensional strongly interacting spinor gases
• Two-spinon effects on the thermal Tonks-Girardeau gas
• Quench Dynamics of Anyon Tonks-Girardeau Gases