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Universal properties of hard-core bosons confined on one-dimensional lattices
a r X i v : c o n d - m a t / 0 4 0 3 0 7 8 v 2 [ c o n d - m a t .s t a t - m e c h ] 2 9 S e p 2 0 0 4 Universal properties of hard-core bosons confined on one-dimensional lattices Marcos Rigol and Alejandro Muramatsu Institut fu?r Theoretische Physik III, Universita?t Stuttgart, Pfaffenwaldring 57, D-70550 Stuttgart, Germany. Based on an exact treatment of hard-core bosons confined on one-dimensional lattices, we obtain the large distance behavior of the one-particle density matrix, and show how it determines the occupation of the lowest natural orbital in the thermodynamic limit. W
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