Fisher-Hartwig conjecture and the correlators in the inpenetrable Bose gas
arXiv:0811.0346 · doi:10.1016/j.physleta.2008.11.032
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.
arXiv commentLaTex, 6 pages
References in corpus (1)
Cited by in corpus (4)
- One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
- One-particle density matrix of trapped one-dimensional impenetrable bosons from conformal invariance
- Toeplitz matrices and Toeplitz determinants under the impetus of the Ising model. Some history and some recent results
- Entanglement in bipartite pure states of an interacting boson gas obtained by local projective measurements