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The European Physical Journal D

Decay of a Bose-Einstein condensate in a dissipative lattice – the mean-field approximation and beyond

F. Trimborn, Dirk Witthaut, H. Hennig, G. Kordas, Theo Geisel, Sandro Wimberger

Published Jun 1, 2011• 36 citations
Publisher
DOI
10.1140/epjd/e2011-10702-7

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Abstract Mean field and beyond mean field model calculations of Bose–Einstein condensates trapped in optical lattices have shown that initially homogeneous condensates can evolve into self-trapped, strongly localized states in the presence of weak boundary dissipation, a phenomenon called self-localization . A dynamical phase transition from extended to localized states can be observed when the effective nonlinearity exceeds a critical threshold Λ eff c . We investigate this phase transition to self-localization in the mean field approximation of the discrete nonlinear Schrödinger equation. We quantitatively characterize the properties of the discrete breathers , i.e. the nonlinear localized solutions, at the phase transition. This leads us to propose and numerically verify an analytical lower bound Λ eff L for the critical nonlinearity based on the idea of self-induced Anderson localization.