Towards a Holographic Bose-Hubbard Model
arXiv:1411.7899 · doi:10.1007/JHEP04(2015)068
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.
46 pages, 14 figures, v2: reference added, JHEP style, version submitted to JHEP, v3: minor clarifications, improved presentation, version accepted for publication in JHEP
References in corpus (17)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Building an AdS/CFT superconductor
- Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
- Effective Holographic Theories for low-temperature condensed matter systems
- Metallic AdS/CFT
- Holographic Phase Transitions with Fundamental Matter
- Holographic Q-lattices
- Wilson Loops of Anti-symmetric Representation and D5-branes
- Fractional Quantum Hall Effect via Holography: Chern-Simons, Edge States, and Hierarchy
- Novel metals and insulators from holography
- Complete Phase Diagrams for a Holographic Superconductor/Insulator System
- Metal-insulator Transition by Holographic Charge Density Waves
- Holographic Description of AdS_2 Black Holes
- Large N Field Theory and AdS Tachyons
- Disordered horizons: Holography of randomly disordered fixed points
- Disordered Systems and the Replica Method in AdS/CFT
- Adventures in Holographic Dimer Models
Cited by in corpus (13)
- Out-of-Time-Order Correlation at a Quantum Phase Transition
- Imaging black holes through AdS/CFT
- On Effective Holographic Mott Insulators
- Einstein Rings in Holography
- On Holographic Insulators and Supersolids
- Quantum criticality and duality in the SYK/AdS chain
- SYK Superconductivity: Quantum Kuramoto and Generalized Richardson Models
- Intertwined Orders in Holography: Pair and Charge Density Waves
- Holographic DC Conductivity for Backreacted Nonlinear Electrodynamics with Momentum Dissipation
- Mott transition with Holographic Spectral function
- Holographic DC Conductivity for Backreacted NLED in Massive Gravity
- Effective Hopping in Holographic Bose and Fermi-Hubbard Models
- The commensurate state and lock-in in a holographic model