Finite-range corrections to the thermodynamics of the one-dimensional Bose gas

Year: 2017

Authors: Cappellaro A., Salasnich L.

Autors Affiliation: Univ Padua, Dipartimento Fis & Astron Galileo Galilei, Via Marzolo 8, I-35131 Padua, Italy; Univ Padua, CNISM, Via Marzolo 8, I-35131 Padua, Italy; CNR INO, Via Nello Carrara, I-150019 Sesto Fiorentino, Italy

Abstract: The Lieb-Liniger equation of state accurately describes the zero-temperature universal properties of a dilute one-dimensional Bose gas in terms of the s-wave scattering length. For weakly interacting bosons we derive nonuniversal corrections to this equation of state taking into account finite-range effects of the interatomic potential. Within the finite-temperature formalism of functional integration we find a beyond-mean-field equation of state which depends on scattering length and effective range of the interaction potential. Our analytical results, which are obtained performing dimensional regularization of divergent zero-point quantum fluctuations, show that for the one-dimensional Bose gas thermodynamic quantities such as pressure and sound velocity are modified by changing the ratio between the effective range and the scattering length.

Journal/Review: PHYSICAL REVIEW A

Volume: 96 (6)      Pages from: 063610-1  to: 063610-5

KeyWords: QUANTUM PHASE-TRANSITION; BOSONS; RENORMALIZATION; REGULARIZATION; SCATTERING; SYSTEM; ATOMS
DOI: 10.1103/PhysRevA.96.063610

Citations: 5
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