Rigorous mean-field dynamics of lattice bosons: Quenches from the Mott insulator

Details Rigorous mean-field dynamics of lattice bosons: Quenches from the Mott insulator Rigorous mean-field dynamics of lattice bosons: Quenches from the Mott insulator

2011-01-26

arxiv.org/abs/1101.5006v4

Europhys. Lett. 95, 30006 (2011)

Physics

Condensed Matter

Quantum Gases

6 pages, 3 figures, published version

Scientific paper

10.1209/0295-5075/95/30006

We provide a rigorous derivation of Gutzwiller mean-field dynamics for lattice bosons, showing that it is exact on fully connected lattices. We apply this formalism to quenches in the interaction parameter from the Mott insulator to the superfluid state. Although within mean-field the Mott insulator is a steady state, we show that a dynamical critical interaction $U_d$ exists, such that for final interaction parameter $U_f>U_d$ the Mott insulator is exponentially unstable towards emerging long-range superfluid order, whereas for $U_f

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