1303.5637 (G. J. Lapeyre, Jr. et al.)

Momentum distribution for a one-dimensional trapped gas of hard-core
bosons    [PDF]

G. J. Lapeyre, Jr., M. D. Girardeau, E. M. Wright

Using the exact $N$-particle ground state wave function for a one-dimensional gas of hard-core bosons in a harmonic trap we develop an algorithm to compute the reduced single-particle density matrix and corresponding momentum distribution. Accurate numerical results are presented for up to N=8 particles, and the momentum distributions are compared to a recent analytic approximation.

View original: http://arxiv.org/abs/1303.5637