Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

The European Physical Journal D

Phase transitions for an ideal Bose condensate trapped in a quartic potential

J.H. Wang, J.Z. He

Published Jul 28, 2011• 12 citations
Publisher
DOI
10.1140/epjd/e2011-20158-4

Related papers

Classification of Phase Transitions for an Ideal Bose Gas in a d-Dimensional Quartic Potential

Jianhui Wang, Chen‐Yan Zhang, Jizhou He

Journal of Low Temperature Physics•Oct 12, 2011•6 citations

Phase transitions of spin-orbit coupled Bose-Einstein Condensate in an external trap potential

Xiang-Fa Zhou, Ian Mondragon-Shem, Congjun Wu

Bulletin of the American Physical Society•Mar 23, 2011•0 citations

Critical temperature for Bose-Einstein condensation in quartic potentials

S. Gautam, D. Angom

arXiv:0710.4006•The European Physical Journal D•Oct 2, 2007•20 citations

Vortices and hysteresis in a rotating Bose-Einstein condensate with anharmonic confinement

Andrew David Jackson, G. M. Kavoulakis

We examine an effectively repulsive Bose-Einstein condensate of atoms that rotates in a quadratic-plus-quartic trapping potential. We investigate the phase diagram of the system as a function of the angular frequency of rotation and of the coupling constant, demonstrating that there are phase transitions between multiply and singly quantized vortex states. We also show that states of different circulation can be metastable and, as a result, the gas can exhibit hysteresis as the angular frequency of rotation of the trap is varied. The simplicity of the picture that emerges for small coupling strengths suggests that this system may be attractive for studies of phase transitions.

arXiv:cond-mat/0311066•Physical Review A•Aug 4, 2004•37 citations

Thermodynamical properties of a rotating ideal Bose gas

Sebastian Kling, Axel Pelster

In a recent experiment, a Bose-Einstein condensate was trapped in an anharmonic potential that is well approximated by a harmonic and a quartic part. The condensate was set into such a fast rotation that the centrifugal force in the corotating frame overcompensates the harmonic part in the plane perpendicular to the rotation axis. Thus, the resulting trap potential becomes sombrero shaped. We present an analysis for an ideal Bose gas that is confined in such an anharmonic rotating trap within a semiclassical approximation, where we calculate the critical temperature, the condensate fraction, and the heat capacity. In particular, we examine in detail how these thermodynamical quantities depend on the rotation frequency.

arXiv:cond-mat/0604162•Physical Review A•Aug 24, 2007•38 citations

Thermodynamics of a two-dimensional interacting Bose gas trapped in a quartic potential

Elife Öznur Karabulut, Mustafa Koyuncu, Ülfet Atav +1 more

Physics Letters A•Nov 20, 2010•6 citations
We examine an effectively repulsive Bose-Einstein condensate of atoms that rotates in a quadratic-plus-quartic trapping potential. We investigate the phase diagram of the system as a function of the angular frequency of rotation and of the coupling constant, demonstrating that there are phase transitions between multiply and singly quantized vortex states. We also show that states of different circulation can be metastable and, as a result, the gas can exhibit hysteresis as the angular frequency of rotation of the trap is varied. The simplicity of the picture that emerges for small coupling strengths suggests that this system may be attractive for studies of phase transitions.
In a recent experiment, a Bose-Einstein condensate was trapped in an anharmonic potential that is well approximated by a harmonic and a quartic part. The condensate was set into such a fast rotation that the centrifugal force in the corotating frame overcompensates the harmonic part in the plane perpendicular to the rotation axis. Thus, the resulting trap potential becomes sombrero shaped. We present an analysis for an ideal Bose gas that is confined in such an anharmonic rotating trap within a semiclassical approximation, where we calculate the critical temperature, the condensate fraction, and the heat capacity. In particular, we examine in detail how these thermodynamical quantities depend on the rotation frequency.