Nonuniversal Equation of State of the Two-Dimensional Bose Gas

Year: 2017

Authors: Salasnich L.

Autors Affiliation: Univ Padua, Dipartimento Fis Astron Galileo Galilei, Via Marzolo 8, I-35131 Padua, Italy; CNISM, Unita Padova, Via Marzolo 8, I-35131 Padua, Italy; CNR, INO, Via Nello Carrara 1, I-50019 Sesto Fiorentino, Italy.

Abstract: For a dilute two-dimensional Bose gas the universal equation of state has a logarithmic dependence on the s-wave scattering length. Here we derive nonuniversal corrections to this equation of state, taking account of finite-range effects of the interatomic potential. Our beyond-mean-field analytical results are obtained performing dimensional regularization of divergent zero-point quantum fluctuations within the finite-temperature formalism of functional integration. In particular, we find that in the grand canonical ensemble the pressure has a nonpolynomial dependence on the finite- range parameter and it is a highly nontrivial function of chemical potential and temperature.

Journal/Review: PHYSICAL REVIEW LETTERS

Volume: 118 (13)      Pages from: 130402-1  to: 130402-5

More Information: The author acknowledges for partial support the BIRD project Superfluid properties of Fermi gases in optical potentials of the University of Padova. The author thanks Alberto Cappellaro and Flavio Toigo for enlightening discussions, and Henk Stoof for useful e suggestions.
KeyWords: Ground-state; Renormalization; Scattering; Systems; Atoms
DOI: 10.1103/PhysRevLett.118.130402

Citations: 20
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