Fisher-Hartwig conjecture and the correlators in the inpenetrable Bose gas
classification
🧮 math-ph
cond-mat.stat-mechhep-thmath.MP
keywords
correlatorsboseconjecturefisher-hartwiginpenetrablesystemapplyasymptotics
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We apply the theorems from the theory of Toeplitz determinants to calculate the asymptotics of various correlators including the exponential ones in the inpenetrable one-dimensional Bose gas system. The known correlators in the free-fermion system are also used to test the generalized Fisher-Hartwig conjecture.
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