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Quantum Simulation

Properties of the one-dimensional Bose-Hubbard model from a high-order perturbative expansion

arXiv
Authors: Bogdan Damski, Jakub Zakrzewski

Year

2015

Paper ID

27981

Status

Preprint

Abstract Read

~2 min

Abstract Words

94

Citations

N/A

Abstract

We employ a high-order perturbative expansion to characterize the ground state of the Mott phase of the one-dimensional Bose-Hubbard model. We compute for different integer filling factors the energy per lattice site, the two-point and density-density correlations, and expectation values of powers of the on-site number operator determining the local atom number fluctuations (variance, skewness, kurtosis). We compare these expansions to numerical simulations of the infinite-size system to determine their range of applicability. We also discuss a new sum rule for the density-density correlations that can be used in both equilibrium and non-equilibrium systems.

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  • We employ a high-order perturbative expansion to characterize the ground state of the Mott phase of the one-dimensional Bose-Hubbard model.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1507.06426 [2] arXiv https://arxiv.org/abs/1507.06426 [3] Publisher https://arxiv.org/abs/1507.06426

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