Temperature correlators of the impenetrable Bose gas as an integrable system

DOI10.1007/BF02096786zbMath0698.60094MaRDI QIDQ912503

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

one-dimensional Bose gasGelfand- Levitan-Marchenko-type equationgenerating functional for correlators of densitieslow density expansionmulti-point correlatorsthermal equilibrium distribution of particles

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Applications of global analysis to the sciences (58Z05) Quantum equilibrium statistical mechanics (general) (82B10)

Related Items (17)

Integrable differential equations for temperature correlation functions of the XXO Heisenberg chain ⋮ Exact solvability and asymptotic aspects of generalized XX0 spin chains ⋮ Differential equations for multipoint correlation functions in a one-dimensional impenetrable Bose-gas ⋮ Correlation functions for a strongly correlated boson system ⋮ Universal results for correlations of characteristic polynomials: Riemann-Hilbert approach ⋮ Long-distance asymptotics of temperature correlators of the impenetrable Bose gas ⋮ Quantum and classical integrability: New approaches in statistical mechanics ⋮ 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 ⋮ Integral operators with the generalized sine kernel on the real axis ⋮ Geometry and integrability of topological-antitopological fusion ⋮ Phase structure of XX0 spin chain and nonintersecting Brownian motion ⋮ Form factors of the \(q\)-boson model in the crystallization limit ⋮ Riemann-Hilbert approach to a generalised sine kernel and applications ⋮ Circulant L-ensembles in the thermodynamic limit

Cites Work

• Unnamed Item
• Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent
• Dual field formulation of quantum integrable models
• The direct linearization of a class of nonlinear evolution equations
• Thermodynamics of a One-Dimensional System of Bosons with Repulsive Delta-Function Interaction

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