A Monte Carlo algorithm is introduced to evaluate the Lehmann representation of the finite-temperature single-particle Green's function in the Lieb-Liniger model.
Higher conservation laws for the quantum non-linear Schroedinger equation
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abstract
Quantum non-linear SCHROEDINGER equation is equivalent to Lieb-Liniger model. It has non-trivial conservation laws. Recently these conservation laws were used for evaluation of the three-body recombination rate for interacting gas of quantum bosons. These conservations laws were known already in 1989. Submitted text is retyping of the preprint of Centre for Mathematical Analysis of Australian National University CMA-R33-89. It was discussed in Leningrad Branch of the V.A. Steklov Mathematical Institute at that time. A copy of the original preprint can be found in the section Quantum Inverse Scattering Method of the web-page http://insti.physics.sunysb.edu/~korepin/
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cond-mat.stat-mech 1years
2025 1verdicts
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Finite temperature single-particle Green's function in the Lieb-Liniger model
A Monte Carlo algorithm is introduced to evaluate the Lehmann representation of the finite-temperature single-particle Green's function in the Lieb-Liniger model.