Dennis Hinrichs et.al.: Critical properties of the Bose-Hubbard model
Dennis Hinrichs, Axel Pelster, Martin Holthaus
Critical properties of the Bose-Hubbard model
- Date of Upload: 2012-10-15
Bose-Hubbard model, critical exponents, Mott insulator, superfluid
- We study certain critical properties of the superfluid-to-Mott insulator quantum phase transition of the Bose-Hubbard model at zero temperature. By
converting Kato’s perturbation series into an efficient numerical algorithm and by applying the method of effective action, we gain access to the phase
boundary as well as the superfluid and the condensate density. These calculations allow us to determine the critical exponents in two ways. One of these is
based on variational perturbation theory, while the other requires more numerical effort.
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