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Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
December 11, 2024 13:00, Moscow, Steklov Mathematical Institute, Room 110 (8 Gubkina) + online
 


Correlation functions of the Lieb-Liniger model with attraction

N. A. Slavnov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
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Abstract: The Lieb-Liniger model describes one-dimensional bosons with point-wise interaction. The spectrum of the model can be found using the Bethe ansatz. I will talk about the special case of a large-volume system with an attractive potential. Then, numerous simplifications arise in the Lieb-Liniger model. In particular, one can find an explicit solution of the Bethe equations (up to exponentially small corrections) describing the ground state of the model. One can also obtain very simple explicit formulas for the ground state correlation functions.
 
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