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

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 fie...

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Main Authors: Clemens Neuenhahn, Florian Marquardt
Format: Article
Language:English
Published: IOP Publishing 2015-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/17/12/125007
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author Clemens Neuenhahn
Florian Marquardt
author_facet Clemens Neuenhahn
Florian Marquardt
author_sort Clemens Neuenhahn
collection DOAJ
description 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 fluctuations.
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spelling doaj.art-1e5c90f1c60e4e1fb72305e634a94c612023-08-08T14:24:04ZengIOP PublishingNew Journal of Physics1367-26302015-01-01171212500710.1088/1367-2630/17/12/125007Quantum simulation of expanding space–time with tunnel-coupled condensatesClemens Neuenhahn0Florian Marquardt1https://orcid.org/0000-0003-4566-1753Friedrich-Alexander-Universität Erlangen-Nürnberg , Institute for Theoretical Physics II, Staudtstr.7, D-91058 Erlangen, GermanyFriedrich-Alexander-Universität Erlangen-Nürnberg , Institute for Theoretical Physics II, Staudtstr.7, D-91058 Erlangen, GermanyWe 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 fluctuations.https://doi.org/10.1088/1367-2630/17/12/125007cold atomsquantum simulationquenchesnonequilibrium physics
spellingShingle Clemens Neuenhahn
Florian Marquardt
Quantum simulation of expanding space–time with tunnel-coupled condensates
New Journal of Physics
cold atoms
quantum simulation
quenches
nonequilibrium physics
title Quantum simulation of expanding space–time with tunnel-coupled condensates
title_full Quantum simulation of expanding space–time with tunnel-coupled condensates
title_fullStr Quantum simulation of expanding space–time with tunnel-coupled condensates
title_full_unstemmed Quantum simulation of expanding space–time with tunnel-coupled condensates
title_short Quantum simulation of expanding space–time with tunnel-coupled condensates
title_sort quantum simulation of expanding space time with tunnel coupled condensates
topic cold atoms
quantum simulation
quenches
nonequilibrium physics
url https://doi.org/10.1088/1367-2630/17/12/125007
work_keys_str_mv AT clemensneuenhahn quantumsimulationofexpandingspacetimewithtunnelcoupledcondensates
AT florianmarquardt quantumsimulationofexpandingspacetimewithtunnelcoupledcondensates