Scaling theory for the collapse of a trapped Bose gas in a synthetic magnetic field: a critical study at the condensation point

Abstract

We have analytically explored both the zero temperature and the finite temperature scaling theory for the collapse of an attractively interacting 3-D harmonically trapped Bose gas in a synthetic magnetic field. We have considered short-ranged (contact) attractive inter-particle interactions and Hartree-Fock approximation for the same. We have separately studied the collapse of both the condensate and the thermal cloud below and above the condensation point, respectively. We have obtained an anisotropy, artificial magnetic field, and temperature-dependent critical number of particles for the collapse of the condensate. We have found a dramatic change in the critical exponent (from $\alpha =1$ to $0$) of the specific heat ($C_v\propto |T-T_c{|}^{\alpha }$) when the thermal cloud is about to collapse with the critical number of particles ($N=N_c$) just below and above the condensation point. All the results obtained by us below and around the condensation point are experimentally testable within the present-day experimental set-up for the ultracold systems in the magneto-optical traps.

12 pages, 4 figures

References in corpus (9)

• Many-Body Physics with Ultracold Gases
• Theory of ultracold Fermi gases
• A Bose-Einstein Condensate in a Uniform Light-induced Vector Potential
• Critical Behavior of a Trapped Interacting Bose Gas
• Collapse of spin-orbit coupled Bose-Einstein condensates
• Bose-Einstein condensate collapse: a comparison between theory and experiment
• Stability of attractive bosonic cloud with van der Waals interaction
• Thermodynamics of quantum gases for the entire range of temperature
• Artificial magnetism for a harmonically trapped Fermi gas in a synthetic magnetic field