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Quantum simulation of expanding space-time with tunnel-coupled condensates

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Neuenhahn, C., & Marquardt, F. (2015). Quantum simulation of expanding space-time with tunnel-coupled condensates. NEW JOURNAL OF PHYSICS, 17: 125007. doi:10.1088/1367-2630/17/12/125007.


Cite as: http://hdl.handle.net/21.11116/0000-0001-BBFC-1
Abstract
We consider two weakly interacting quasi-1D condensates of cold bosonic atoms. It turns out that a time-dependent variation of the tunnel-coupling between those condensates is equivalent to the spatial expansion of a one-dimensional toy-Universe, with regard to the dynamics of the relative phase field. The dynamics of this field is governed by the quantum sine-Gordon equation. Thus, this analogy could be used to 'quantum simulate' the dynamics of a scalar, interacting quantum field on an expanding background. We discuss how to observe the 'freezing' of quantum fluctuations during an accelerating expansion in a possible experiment. We also analyze an experimental protocol to study the formation of sine-Gordon breathers in the relative phase field, seeded by quantum