Fisher-Hartwig conjecture and the correlators in the inpenetrable Bose gas
A.A.Ovchinnikov
TL;DR
This paper applies Toeplitz determinant theorems to analyze correlators in the impenetrable Bose gas, testing the Fisher-Hartwig conjecture and deriving asymptotics for various correlators in a one-dimensional quantum system.
Contribution
It extends the Fisher-Hartwig conjecture to the inpenetrable Bose gas and calculates correlator asymptotics using Toeplitz determinant methods.
Findings
Derived asymptotics for correlators in the Bose gas
Tested the Fisher-Hartwig conjecture in this context
Connected free-fermion correlators with the Bose gas results
Abstract
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.