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arXiv · 1204.6331

Dynamic freezing of strongly correlated ultracold bosons

S. Mondal·D. Pekker·K. Sengupta
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Abstract

We study the non-equilibrium dynamics of ultracold bosons in an optical lattice with a time dependent hopping amplitude J(t)=J_0 +δJ \cos(ωt) which takes the system from a superfluid phase near the Mott-superfluid transition (J= J_0+δJ) to a Mott phase (J=J_0-δJ) and back through a quantum critical point (J=J_c) and demonstrate dynamic freezing of the boson wavefunction at specific values of ω. At these values, the wavefunction overlap F (defect density P=1-F) approaches unity (zero). We provide a qualitative explanation of the freezing phenomenon, show it's robustness against quantum fluctuations and the presence of a trap, compute residual energy and superfluid order parameter for such dynamics, and suggest experiments to test our theory.

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S. Mondal, D. Pekker, K. Sengupta. 2012-05-14. Dynamic freezing of strongly correlated ultracold bosons. https://doi.org/10.1209/0295-5075%2F100%2F60007

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