Dynamical Mean Field Theory of the Bose-Hubbard Model
L. Amico, V. Penna
TL;DR
This paper uses a semiclassical approach to study the quantum dynamics of the Bose-Hubbard Model, successfully reproducing phase diagrams consistent with advanced numerical and perturbative methods.
Contribution
It introduces a semiclassical requantization method within a factorized slow/fast dynamics framework for the Bose-Hubbard Model.
Findings
Phase diagram matches Quantum Monte Carlo results
Agreement with third order strong coupling perturbation
Effective semiclassical description of quantum dynamics
Abstract
Quantum dynamics of the Bose-Hubbard Model is investigated through a semiclassical hamiltonian picture provided by the Time-Dependent Variational Principle method. The system is studied within a factorized slow/fast dynamics. The semiclassical requantization procedure allows one to account for the strong quantum nature of the system when . The phase diagram is in good agreement with Quantum Monte Carlo results and third order strong coupling perturbative expansion.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.