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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Format: | Article |
Language: | English |
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IOP Publishing
2015-01-01
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Series: | New Journal of Physics |
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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. |
first_indexed | 2024-03-12T16:42:12Z |
format | Article |
id | doaj.art-1e5c90f1c60e4e1fb72305e634a94c61 |
institution | Directory Open Access Journal |
issn | 1367-2630 |
language | English |
last_indexed | 2024-03-12T16:42:12Z |
publishDate | 2015-01-01 |
publisher | IOP Publishing |
record_format | Article |
series | New Journal of Physics |
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 |