We present an analytically solvable theory of Bose-Einstein condensation (BEC) in thin film geometries. Analytical closed-form expressions for the critical temperature are obtained in both the low-to-moderate confinement regime (where the film thickness L is in the order of microns) as well as in the strong confinement regime where the thickness is in the order of few nanometers or lower. The possibility of high-temperature BEC is predicted in the strong confinement limit, with a square-root divergence of the critical temperature T-c similar to L-1/2. For cold Bose gases, this implies an enhancement up to two orders of magnitude in T-c for films on the nanometer scale. Analytical predictions are also obtained for the heat capacity and the condensate fraction. A new law for the heat capacity of the condensate, i.e. C similar to T-2, is predicted for nano-scale films, which implies a different lambda-point behavior with respect to bulk systems, while the condensate fraction is predicted to follow a [1-(T/T-c)(2)] law.
Analytical theory of enhanced Bose-Einstein condensation in thin films / R. Travaglino, A. Zaccone. - In: JOURNAL OF PHYSICS. B, ATOMIC MOLECULAR AND OPTICAL PHYSICS. - ISSN 0953-4075. - 55:5(2022 Mar 15), pp. 055301.1-055301.15. [10.1088/1361-6455/ac5583]
Analytical theory of enhanced Bose-Einstein condensation in thin films
A. Zaccone
Ultimo
2022
Abstract
We present an analytically solvable theory of Bose-Einstein condensation (BEC) in thin film geometries. Analytical closed-form expressions for the critical temperature are obtained in both the low-to-moderate confinement regime (where the film thickness L is in the order of microns) as well as in the strong confinement regime where the thickness is in the order of few nanometers or lower. The possibility of high-temperature BEC is predicted in the strong confinement limit, with a square-root divergence of the critical temperature T-c similar to L-1/2. For cold Bose gases, this implies an enhancement up to two orders of magnitude in T-c for films on the nanometer scale. Analytical predictions are also obtained for the heat capacity and the condensate fraction. A new law for the heat capacity of the condensate, i.e. C similar to T-2, is predicted for nano-scale films, which implies a different lambda-point behavior with respect to bulk systems, while the condensate fraction is predicted to follow a [1-(T/T-c)(2)] law.File | Dimensione | Formato | |
---|---|---|---|
2203.16299_ArXiv.pdf
accesso aperto
Tipologia:
Pre-print (manoscritto inviato all'editore)
Dimensione
1.14 MB
Formato
Adobe PDF
|
1.14 MB | Adobe PDF | Visualizza/Apri |
Travaglino_2022_J._Phys._B _At._Mol._Opt._Phys._55_055301.pdf
accesso riservato
Tipologia:
Publisher's version/PDF
Dimensione
1.48 MB
Formato
Adobe PDF
|
1.48 MB | Adobe PDF | Visualizza/Apri Richiedi una copia |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.