,Ground State Property of a One-Dimensional Bose-Hubbard Model Using Time-Evolving Body Decimation

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We study the ground state property of the one-dimensional Bose-Hubbard model using an imaginary time evolving body decimation algorithm.The single-particle density matrix is numerically calculated for a Mott insulating system and a superfluid system separately.By plotting the chemical potential versus the filling n =N/L for U/J =20 and U/J =0.1,we identify the Mott gap for U/J =20 in filling n =1.Lastly,we investigate the occupation number of the Bloch state with quasimomentum for a system deep in the Mott phase and in the superfluid phase respectively.The results indicate Bose condensation in the quasimomentum space.
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