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Nonlinear dynamics of the cold atom analog false vacuum
Stockholm University, Faculty of Science, Department of Physics. Stockholm University, Faculty of Science, The Oskar Klein Centre for Cosmo Particle Physics (OKC). University College London, U.K..ORCID iD: 0000-0002-2519-584X
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Number of Authors: 52019 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 10, article id 174Article in journal (Refereed) Published
Abstract [en]

We investigate the nonlinear dynamics of cold atom systems that can in principle serve as quantum simulators of false vacuum decay. The analog false vacuum manifests as a metastable vacuum state for the relative phase in a two-species Bose-Einstein condensate (BEC), induced by a driven periodic coupling between the two species. In the appropriate low energy limit, the evolution of the relative phase is approximately governed by a relativistic wave equation exhibiting true and false vacuum configurations. In previous work, a linear stability analysis identified exponentially growing short-wavelength modes driven by the time-dependent coupling. These modes threaten to destabilize the analog false vacuum. Here, we employ numerical simulations of the coupled Gross-Pitaevski equations (GPEs) to determine the non-linear evolution of these linearly unstable modes. We find that unless a physical mechanism modifies the GPE on short length scales, the analog false vacuum is indeed destabilized. We briefly discuss various physically expected corrections to the GPEs that may act to remove the exponentially unstable modes. To investigate the resulting dynamics in cases where such a removal mechanism exists, we implement a hard UV cutoff that excludes the unstable modes as a simple model for these corrections. We use this to study the range of phenomena arising from such a system. In particular, we show that by modulating the strength of the time-dependent coupling, it is possible to observe the crossover between a second and first order phase transition out of the false vacuum.

Place, publisher, year, edition, pages
2019. no 10, article id 174
Keywords [en]
Lattice Quantum Field Theory, Nonperturbative Effects, Solitons Monopoles and Instantons
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-175730DOI: 10.1007/JHEP10(2019)174ISI: 000491117400003OAI: oai:DiVA.org:su-175730DiVA, id: diva2:1369266
Available from: 2019-11-11 Created: 2019-11-11 Last updated: 2019-12-09Bibliographically approved

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Peiris, Hiranya
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