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Title: Ground-state properties of hard-core bosons in one-dimensional harmonic traps

Journal Article · · Physical Review. A
 [1]
  1. Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831 (United States)

The one-particle density matrices for hard-core bosons in a one-dimensional harmonic trap are computed numerically for systems with up to 160 bosons. Diagonalization of the density matrix shows that the many-body ground state is not Bose-Einstein condensed. The ground-state occupation, the amplitude of the lowest natural orbital, and the zero momentum peak height scale as powers of the particle number, and the corresponding exponents are related to each other. Close to its diagonal, the density matrix for hard-core bosons is similar to that of noninteracting fermions.

OSTI ID:
20633920
Journal Information:
Physical Review. A, Vol. 67, Issue 4; Other Information: DOI: 10.1103/PhysRevA.67.041601; (c) 2003 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
Country of Publication:
United States
Language:
English