Pekker, D. and Wunsch, B. and Kitagawa, T. and Manousakis, E. and Sørensen, A. S. and Demler, E. (2012) Signatures of the superfluid to Mott insulator transition in equilibrium and in dynamical ramps. . (Submitted) http://resolver.caltech.edu/CaltechAUTHORS:20120625-081713746
- Submitted Version
See Usage Policy.
Use this Persistent URL to link to this item: http://resolver.caltech.edu/CaltechAUTHORS:20120625-081713746
We investigate the equilibrium and dynamical properties of the Bose-Hubbard model and the related particle-hole symmetric spin-1 model in the vicinity of the superfluid to Mott insulator quantum phase transition. We employ the following methods: exact-diagonalization, mean field (Gutzwiller), cluster mean-field, and mean-field plus Gaussian fluctuations. In the first part of the paper we benchmark the four methods by analyzing the equilibrium problem and give numerical estimates for observables such as the density of double occupancies and their correlation function. In the second part, we study parametric ramps from the superfluid to the Mott insulator and map out the crossover from the regime of fast ramps, which is dominated by local physics, to the regime of slow ramps with a characteristic universal power law scaling, which is dominated by long wavelength excitations. We calculate values of several relevant physical observables, characteristic time scales, and an optimal protocol needed for observing universal scaling.
|Item Type:||Report or Paper (Discussion Paper)|
|Additional Information:||It is our pleasure to thank M. Greiner, W. S. Bakr, and J. Simon for explaining their experimental setup and A. Polkovnikov for his encouragement and valuable insights. We would also like to thank G. Refael for valuable discussions, and the Aspen Center for Physics for it's hospitality. This work was supported by a grant from the Army Research Office with funding from the DARPA OLE program, Harvard-MIT CUA, NSF Grant No. DMR- 07-05472, AFOSR Quantum Simulation MURI, AFOSR MURI on Ultracold Molecules, the ARO-MURI on Atomtronics, the Lee A. DuBridge fellowship (DP), DFG grant No 609/1-1 (BW), The Danish National Research Foundation.|
|Group:||IQIM, Institute for Quantum Information and Matter|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Tony Diaz|
|Deposited On:||19 Jul 2012 23:33|
|Last Modified:||26 Dec 2012 15:22|
Repository Staff Only: item control page