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Volumn 79, Issue 3, 2009, Pages

Ground-state properties of interacting two-component Bose gases in a hard-wall trap

Author keywords

[No Author keywords available]

Indexed keywords

BETHE ANSATZ; BETHE ANSATZ SOLUTIONS; BOSE GAS; DEGENERATE STATE; DENSITY DISTRIBUTIONS; DIAGONALIZATION METHODS; FERMIONIZATION; GROUND-STATE PROPERTIES; INTER-ATOMIC INTERACTIONS; INTERSPECIES INTERACTIONS; INTRA-ATOMIC; NUMERICAL RESULTS; REPULSIVE INTERACTIONS; TONKS-GIRARDEAU GAS; TOTAL DENSITIES; TWO COMPONENTS; WAVE-FUNCTION;

EID: 63049123148     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.79.033607     Document Type: Article
Times cited : (33)

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    • This is true because the conclusion that the ground state for a two-component boson system with the total SU(2) symmetry is (N+1) -fold degenerate is independent of the external potential. Therefore, as long as the total SU(2) symmetry is not broken, one can construct the degenerate states according to Eq. 7. The derivation of Eq. 8 in the Appendix 0 does not depend on the concrete form of Ψ (x1,..., xN) except the property of its exchange symmetry. However when there exists an external potential, for example, a harmonic potential, one can not calculate the wave function exactly since the system is no longer integrable.
    • This is true because the conclusion that the ground state for a two-component boson system with the total SU(2) symmetry is (N+1) -fold degenerate is independent of the external potential. Therefore, as long as the total SU(2) symmetry is not broken, one can construct the degenerate states according to Eq. 7. The derivation of Eq. 8 in the Appendix 0 does not depend on the concrete form of Ψ (x1,..., xN) except the property of its exchange symmetry. However when there exists an external potential, for example, a harmonic potential, one can not calculate the wave function exactly since the system is no longer integrable.


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