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Polylogs, thermodynamics and scaling functions of one-dimensional quantum many-body systems

Guan, Xi-Wen; Batchelor, Murray


We demonstrate that the thermodynamics of one-dimensional Lieb-Liniger bosons can be accurately calculated in analytic fashion using the polylog function in the framework of the thermodynamic Bethe ansatz. The approach does away with the need to numerically solve the thermodynamic Bethe ansatz (Yang-Yang) equation. The expression for the equation of state allows the exploration of Tomonaga-Luttinger liquid physics and quantum criticality in an archetypical quantum system. In particular, the...[Show more]

CollectionsANU Research Publications
Date published: 2011
Type: Journal article
Source: Journal of Physics A: Mathematical and Theoretical
DOI: 10.1088/1751-8113/44/10/102001


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