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Improved Variational Approach to the Two-Site Bose-Hubbard Model

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Abstract

An improved variational ansatz is proposed to capture the most striking properties of the ground state of a slightly biased attractive two-site Bose-Hubbard Hamiltonian. Our ansatz, albeit its simplicity, is found to capture well the exact properties of the ground state for a wide variety of model parameters, in particular the fragmentation occurring before the formation of cat-like states and also the formation of strongly correlated cat-like states.

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Authors and Affiliations

  1. Departament d’Estructura i Constituents de la Matèria, Universitat de Barcelona, 08028, Barcelona, Spain

    M. Melé-Messeguer, B. Juliá-Díaz & A. Polls

  2. Institut de Ciències del Cosmos, Universitat de Barcelona, 08028, Barcelona, Spain

    B. Juliá-Díaz & A. Polls

  3. ICFO—Institut de Ciències Fotòniques, 08860, Castelldefels, Spain

    B. Juliá-Díaz

Authors
  1. M. Melé-Messeguer
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  2. B. Juliá-Díaz
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  3. A. Polls
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Correspondence to B. Juliá-Díaz.

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Melé-Messeguer, M., Juliá-Díaz, B. & Polls, A. Improved Variational Approach to the Two-Site Bose-Hubbard Model. J Low Temp Phys 165, 180–194 (2011). https://doi.org/10.1007/s10909-011-0395-4

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  • DOI: https://doi.org/10.1007/s10909-011-0395-4

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