Large-distance asymptotic behavior of the correlation functions of 1D impenetrable anyons at finite temperatures

2008/11/30 by Ovidiu I. Patu, O. I. Pâţu, V. E. Korepin +3 · 12 citations
Mathematics · Physics and Astronomy · #Boson #Cold Atom Physics and Bose-Einstein Condensates #Conformal field theory #Conformal map #Correlation function (quantum field theory) #Fermion #Integrable system #Nonlinear system #Physics of Superconductivity and Magnetism #Quantum many-body systems #Topological quantum computer #cond-mat.stat-mech #math-ph #math.MP #quant-ph

paper · pdf · doi:10.1209/0295-5075/86/40001

published in Europhysics Letters (EPL) 86(4), 40001 (Institute of Physics) · 5 pages, RevTeX4

arxiv created 2008/12/01 · openalex publication_date 2009/05/01 · arxiv updated 2015/05/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The large-distance asymptotic behavior of the field-field correlators has been computed for one-dimensional impenetrable anyons at finite temperatures. The asymptotic behavior agrees with the predictions of conformal field theory at low temperatures and reproduces the known results for impenetrable bosons and free fermions in appropriate limits. We have also obtained an integrable system of partial nonlinear differential equations which completely characterizes the 2-point correlation functions. The system is the same as for bosons but with different initial conditions.

Citations

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• Correlation functions of one-dimensional Lieb–Liniger anyons