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Towards a holographic Bose-Hubbard model

  • Mitsutoshi Fujita
  • Sarah M. Harrison
  • Andreas Karch
  • René Meyer
  • Natalie M. Paquette
Open Access
Regular Article - Theoretical Physics

Abstract

We present a holographic construction of the large-N Bose-Hubbard model. The model is based on Maxwell fields coupled to charged scalar fields on the AdS2 hard wall. We realize the lobe-shaped phase structure of the Bose-Hubbard model and find that the model admits Mott insulator ground states in the limit of large Coulomb repulsion. In the Mott insulator phases, the bosons are localized on each site. At zero hopping we find that the transitions between Mott insulating phases with different fillings correspond to first order level-crossing phase transitions. At finite hopping we find a holographic phase transition between the Mott phase and a non-homogeneous phase. We then analyze the perturbations of fields around both the Mott insulator phase and inhomogeneous phase. We find almost zero modes in the non-homogeneous phase.

Keywords

Gauge-gravity correspondence Holography and condensed matter physics (AdS/CMT) 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Copyright information

© The Author(s) 2015

Authors and Affiliations

  • Mitsutoshi Fujita
    • 1
  • Sarah M. Harrison
    • 2
  • Andreas Karch
    • 3
  • René Meyer
    • 4
  • Natalie M. Paquette
    • 5
  1. 1.Yukawa Institute for Theoretical PhysicsKyoto UniversityKyotoJapan
  2. 2.Center for the Fundamental Laws of NatureHarvard UniversityCambridgeUnited States
  3. 3.Department of PhysicsUniversity of WashingtonSeattleUnited States
  4. 4.Kavli Institute for the Physics and Mathematics of the Universe (WPI), Todai Institutes for Advanced StudyUniversity of TokyoKashiwaJapan
  5. 5.SITP, Department of Physics and Theory GroupSLAC, Stanford UniversityStanfordUnited States

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