Finite-Range Corrections to the Thermodynamics of the One-Dimensional Bose Gas
arXiv:1711.11362 · doi:10.1103/PhysRevA.96.063610
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 non-universal corrections to this equation of state taking into account finite-range effects of the inter-atomic 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 like pressure and sound velocity are modified by changing the ratio between the effective range and the scattering length.
6 pages, 2 figures, accepted for publication in Physical Review A
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- On-shell approximation for the s-wave scattering theory
- Zero-temperature equation of state of a two-dimensional bosonic quantum fluid with finite-range interaction
- Sound modes in collisional superfluid Bose gases
- Proposal of a computational approach for simulating thermal bosonic fields in phase space
- Interaction-Induced Dimensional Crossover through Full 3D to 1D
- Bose-Bose gases with nonuniversal corrections to the interactions: a droplet phase