Stationary solutions of Gross-Pitaevskii equations in a double square well

Journal Article · Fri Dec 15 00:00:00 EST 2006 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.74.063612· OSTI ID:20976526

Weidong, Li ^[1]

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1. Department of Physics and Institute of Theoretical Physics, Shanxi University, Taiyuan 030006 (China) and INFM-BEC and Dipartimento di Fisica, Universita di Trento, 1-38050 Povo (Italy)

We present analytical stationary solutions for the Gross-Pitaevskii equation (GPE) of a Bose-Einstein condensate (BECs) trapped in a double-well potential. These solutions are compared to those described by [Mahmud et al., Phys. Rev. A 66, 063607 (2002)]. In particular, we provide further evidence that symmetry preserving stationary solutions can be reduced to the eigenstates of the corresponding linear Schroedinger equation. Moreover, we have found that the symmetry-breaking solutions can emerge not only from bifurcations, but also from isolated points in the chemical potential-nonlinear interaction diagram. We also have found that there are some moving nodes in the symmetry-breaking solutions.

• OSTI ID: 20976526
• Journal Information: Physical Review. A, Vol. 74, Issue 6; Other Information: DOI: 10.1103/PhysRevA.74.063612; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BIFURCATION
BOSE-EINSTEIN CONDENSATION
EIGENSTATES
INTERACTIONS
MATHEMATICAL SOLUTIONS
NONLINEAR PROBLEMS
POTENTIALS
SCHROEDINGER EQUATION
SQUARE-WELL POTENTIAL
SYMMETRY
SYMMETRY BREAKING
TRAPPING