Large time and distance asymptotics of field correlation function of impenetrable bosons at finite temperature

DOI10.1016/0167-2789(92)90043-MzbMath0800.35034OpenAlexW2010306590MaRDI QIDQ1184320

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

Publication date: 28 June 1992

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(92)90043-m

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Quantum theory (81-XX)

Related Items (19)

Integrable differential equations for temperature correlation functions of the XXO Heisenberg chain ⋮ Determinant representation for correlation functions of spin-1/2 XXX and XXZ Heisenberg magnets ⋮ Universal, finite-temperature, crossover functions of the quantum transition in the Ising chain in a transverse field ⋮ Exact solvability and asymptotic aspects of generalized XX0 spin chains ⋮ Correlation functions for a strongly correlated boson system ⋮ Time and temperature dependent correlation functions of 1D models of quantum statistical mechanics ⋮ Form factor approach to dynamical correlation functions in critical models ⋮ Correlation functions and momentum distribution of one-dimensional hard-core anyons in optical lattices ⋮ Integral equations for correlation functions of a quantum one-dimensional Bose gas ⋮ Large-distance and long-time asymptotic behavior of the reduced density matrix in the non-linear Schrödinger model ⋮ On the asymptotic expansion of the solutions of the separated nonlinear Schrödinger equation ⋮ Phase structure of XX0 spin chain and nonintersecting Brownian motion ⋮ The relevant excitations for the one-body function in the Lieb–Liniger model ⋮ High-temperature analysis of the transverse dynamical two-point correlation function of the XX quantum-spin chain ⋮ Long-distance and large-time asymptotic behaviour of dynamic correlation functions in the massless regime of the XXZ spin-1/2 chain ⋮ On the Riemann-Hilbert approach to asymptotic analysis of the correlation functions of the quantum nonlinear Schrödinger equation: Interacting fermion case ⋮ Riemann-Hilbert approach to a generalised sine kernel and applications ⋮ Asymptotics of a cubic sine kernel determinant ⋮ Low-density limit of dynamical correlations in the Lieb–Liniger model

Cites Work

• Temperature correlators of the impenetrable Bose gas as an integrable system
• The time dependent correlation function of an impenetrable Bose gas as a Fredholm minor. I
• Long-distance asymptotics of temperature correlators of the impenetrable Bose gas
• Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent
• Space correlations in one-dimensional impenetrable Bose gas at finite temperature
• "ISOMONODROMY" SOLUTIONS OF EQUATIONS OF ZERO CURVATURE
• The inverse scattering transform: Semi-infinite interval
• Asymptotic Solutions of the Korteweg-deVries Equation
• The Asymptotic Solution of the Korteweg-deVries Equation in the Absence of Solitons
• Thermodynamics of a One-Dimensional System of Bosons with Repulsive Delta-Function Interaction
• The spectral theory of a functional-difference operator in conformal field theory
• DIFFERENTIAL EQUATIONS FOR QUANTUM CORRELATION FUNCTIONS
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