TY - JOUR
T1 - Ground-state properties of a one-dimensional system of hard-core bosons in a harmonic trap
AU - Girardeau, M. D.
AU - Wright, E. M.
AU - Triscari, J. M.
PY - 2001
Y1 - 2001
N2 - The exact N-particle ground-state wave function for a one-dimensional condensate of hard-core bosons in a harmonic trap is employed to obtain accurate numerical results for the one-particle density matrix, occupation number distribution of the natural orbitals, and momentum distribution. Our results show that the occupation of the lowest orbital varies as N0.59, in contrast to N0.5 for a spatially uniform system, and N for a true Bose-Einstein condensate.
AB - The exact N-particle ground-state wave function for a one-dimensional condensate of hard-core bosons in a harmonic trap is employed to obtain accurate numerical results for the one-particle density matrix, occupation number distribution of the natural orbitals, and momentum distribution. Our results show that the occupation of the lowest orbital varies as N0.59, in contrast to N0.5 for a spatially uniform system, and N for a true Bose-Einstein condensate.
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U2 - 10.1103/PhysRevA.63.033601
DO - 10.1103/PhysRevA.63.033601
M3 - Article
AN - SCOPUS:33646182284
SN - 1050-2947
VL - 63
SP - 1
EP - 6
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 3
M1 - 033601
ER -