Abstract:
The state of thermodynamic equilibrium of a one-dimensional Bose gas at nonzero
temperature is considered. A method of calculating the correlation functions in this
system is illustrated by the simplest example of the current correlation function.
The expressions of the algebraic Bethe ansatz [1] are extremely helpful.
Citation:
N. M. Bogolyubov, V. E. Korepin, “Correlation functions of one-dimensional Bose gas in thermodynamic equilibrium”, TMF, 60:2 (1984), 262–269; Theoret. and Math. Phys., 60:2 (1984), 808–814
Kozlowski K.K., Maillet J.M., Slavnov N.A., “Long-Distance Behavior of Temperature Correlation Functions in the One-Dimensional Bose Gas”, J. Stat. Mech.-Theory Exp., 2011, P03018
Helen Au-Yang, Jacques H.H. Perk, “Critical correlations in a Z-invariant inhomogeneous ising model”, Physica A: Statistical Mechanics and its Applications, 144:1 (1987), 44
N. M. Bogolyubov, “Thermodynamics of a one-dimensional lattice Bose gas”, Theoret. and Math. Phys., 67:3 (1986), 614–622
V. E. Korepin, N. A. Slavnov, “Correlation function of currents in a one-dimensional Bose gas”, Theoret. and Math. Phys., 68:3 (1986), 955–960
N. M. Bogolyubov, V. E. Korepin, “Temperature dependence of the correlation length in a one-dimensional Bose gas”, Theoret. and Math. Phys., 64:1 (1985), 708–715
Citation in format AMSBIB
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