Correlation functions of one-dimensional bosons at low temperature

Abstract

We consider the low-temperature limit of the long-distance asymptotic behavior of the finite temperature density-density correlation function in the one-dimensional Bose gas derived recently in the algebraic Bethe ansatz framework. Our results confirm the predictions based on the Luttinger liquid and conformal field theory approaches. We also demonstrate that the amplitudes arising in this asymptotic expansion at low-temperature coincide with the amplitudes associated with the so-called critical form factors.

27 pages

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• Long-distance behavior of temperature correlation functions in the one-dimensional Bose gas
• Edge singularities and quasi-long-range order in non-equilibrium steady states
• On the thermodynamic limit of form factor expansions of dynamical correlation functions in the massless regime of the XXZ spin $1/2$ chain
• On the form factors of local operators in the Bazhanov-Stroganov and chiral Potts models
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• Out-of-equilibrium dynamics of the XY spin chain from form factor expansion
• Large time and long distance asymptotics of the thermal correlators of the impenetrable anyonic lattice gas
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• Long-distance and large-time asymptotic behaviour of dynamic correlation functions in the massless regime of the XXZ spin-1/2 chain
• Temperature-driven crossover in the Lieb-Liniger model
• Correlation functions for open XXZ spin 1/2 quantum chains with unparallel boundary magnetic fields
• Correlation functions by Separation of Variables: the XXX spin chain
• Low-density limit of dynamical correlations in the Lieb-Liniger model
• Determinant formula for the field form factor in the anyonic Lieb-Liniger model
• On correlation functions for the open XXZ chain with non-longitudinal boundary fields : the case with a constraint