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- Title
Anharmonicity-induced criticality of the ground-state properties of attractive Bose–Einstein condensate.
- Authors
Debnath, Pankaj Kumar
- Abstract
We consider the attractive Bose–Einstein condensate (BEC) of Rb atoms, which is confined in a harmonic plus quartic trap [ V (r) = 1 2 m ω 2 r 2 + λ r 4 ] . We slowly tune the coefficient of quartic term (λ ) to see how the metastable region (MSR) in the outer part of the trap is modified. The MSR is always bounded by a left intermediate barrier (IB) and a deep but narrow attractive well (NAW) appears on the left of this barrier. For λ < 0 , the MSR is bounded by an additional right IB. A dramatic behaviour (compared with the attractive BEC in a harmonic trap) of interaction energy, kinetic energy, trap energy along with the total ground-state energy of the condensate is observed in this different metastability. For λ ≥ 0 , the outer wall of the MSR increases steeply as λ increases. Dynamical responses of the zero point energies of the condensate are explored also. Observations are interesting as we find a critical value of anharmonicity ( λ cr ) to collapse the condensate. We slightly increase the strength of λ (close to λ cr ) and investigate the significant increase of the quantum tunnelling probability through the left IB into an inner core (NAW).
- Subjects
QUANTUM tunneling; ZERO point energy; BOSE-Einstein condensation; KINETIC energy; ANHARMONIC motion
- Publication
Pramana: Journal of Physics, 2022, Vol 96, Issue 3, p1
- ISSN
0304-4289
- Publication type
Article
- DOI
10.1007/s12043-022-02381-4