Long-distance asymptotics of temperature correlators of the impenetrable Bose gas

DOI10.1007/BF02096932zbMath0702.76089MaRDI QIDQ915585

Anatoli G. Izergin, Alexander R. Its, Vladimir E. Korepin

Publication date: 1990

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

inverse scattering methodmulti-point correlatorsimpenetrable bosonsintegrable nonlinear systemLong-distance asymptoticsmatrix Riemann problems

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Statistical mechanics of gases (82D05)

Related Items (14)

Determinant representation for correlation functions of spin-1/2 XXX and XXZ Heisenberg magnets ⋮ Differential equations for multipoint correlation functions in a one-dimensional impenetrable Bose-gas ⋮ Space correlations in one-dimensional impenetrable Bose gas at finite temperature ⋮ The time-dependent correlation function of the Jordan–Wigner operator as a Fredholm determinant ⋮ Correlation functions and momentum distribution of one-dimensional hard-core anyons in optical lattices ⋮ Large time and distance asymptotics of field correlation function of impenetrable bosons at finite temperature ⋮ From the sinh-Gordon field theory to the one-dimensional Bose gas: exact local correlations and full counting statistics ⋮ Large-distance and long-time asymptotic behavior of the reduced density matrix in the non-linear Schrödinger model ⋮ Integral operators with the generalized sine kernel on the real axis ⋮ Fredholm determinants and \(\tau\)-functions ⋮ Long-distance and large-time asymptotic behaviour of dynamic correlation functions in the massless regime of the XXZ spin-1/2 chain ⋮ Riemann-Hilbert approach to a generalised sine kernel and applications ⋮ Asymptotics of a cubic sine kernel determinant ⋮ Correlation function of fields in one-dimensional Bose-gas

Cites Work

• Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman
• Temperature correlators of the impenetrable Bose gas as an integrable system
• Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent

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