Journal
PHYSICAL REVIEW LETTERS
Volume 106, Issue 9, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.106.095702
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Funding
- DST, India [SR/S2/CMP-001/2009]
- Spanish MEC [FIS2008-00784]
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We study the phase diagram and nonequilibrium dynamics involving ramp of the hopping amplitude J(t) = Jt/tau with ramp time tau of the Bose-Hubbard model at zero temperature using a projection-operator formalism which allows us to incorporate the effects of quantum fluctuations beyond mean-field approximations in the strong-coupling regime. Our formalism yields a phase diagram which provides a near exact match with quantum Monte Carlo results in three dimensions. We also compute the residual energy Q, the superfluid order parameter Delta(t), the equal-time order parameter correlation function C(t), and the wave function overlap F which yields the defect formation probability P during nonequilibrium dynamics of the model. We find that Q, F, and P do not exhibit the expected universal scaling. We explain this absence of universality and show that our results compare well with recent experiments.
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