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Localized phase structures growing out of quantum fluctuations in a quench of tunnel-coupled atomic condensates
Clemens Neuenhahn1, Anatoli Polkovnikov, Florian Marquardt
1Friedrich-Alexander-Universität Erlangen-Nürnberg, Institute for Theoretical Physics II, Erlangen, Germany. clemens.neuenhahn@physik.uni-erlangen.de
Abstract:
We investigate the relative phase between two weakly interacting 1D condensates of bosonic atoms after suddenly switching on the tunnel coupling. The following phase dynamics is governed by the quantum sine-Gordon equation. In the semiclassical limit of weak interactions, we observe the parametric amplification of quantum fluctuations leading to the formation of breathers with a finite lifetime. The typical lifetime and density of these "quasibreathers" are derived employing exact solutions of the classical sine-Gordon equation. Both depend on the initial relative phase between the condensates, which is considered as a tunable parameter.
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