Boson gas in a periodic array of tubes
P. Salas (1,2), F. J. Sevilla (2), M. A. Sol\'is (2), ((1) Posgrado, en Ciencia e Ingenier\'ia de Materiales, UNAM (2) Instituto de F\'isica,, UNAM)

TL;DR
This paper investigates the thermodynamic behavior of an ideal boson gas confined in a periodic array of channels, revealing how confinement and tunneling influence Bose-Einstein condensation and specific heat features, with implications for experimental systems.
Contribution
It introduces a model of boson gas in a periodic array of channels with delta-potentials, analyzing the effects of confinement on BEC critical temperature and thermodynamic properties.
Findings
Critical temperature decreases with increased confinement strength.
Specific heat shows maxima and minima related to confinement effects.
Dimensional crossover from 3D to 1D occurs with increased wall strength.
Abstract
We report the thermodynamic properties of an ideal boson gas confined in an infinite periodic array of channels modeled by two, mutually perpendicular, Kronig-Penney delta-potentials. The particle's motion is hindered in the x-y directions, allowing tunneling of particles through the walls, while no confinement along the z direction is considered. It is shown that there exists a finite Bose- Einstein condensation (BEC) critical temperature Tc that decreases monotonically from the 3D ideal boson gas (IBG) value as the strength of confinement is increased while keeping the channel's cross section, constant. In contrast, Tc is a non-monotonic function of the cross-section area for fixed . In addition to the BEC cusp, the specific heat exhibits a set of maxima and minima. The minimum located at the highest temperature is a clear signal of the confinement…
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsCold Atom Physics and Bose-Einstein Condensates · Quantum, superfluid, helium dynamics
