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Curved and expanding spacetime geometries in Bose-Einstein condensates

Phonons have the characteristic linear dispersion relation of massless relativistic particles. They arise as low-energy excitations of Bose-Einstein condensates and, in nonhomogeneous situations, are governed by a space- and time-dependent acoustic metric. We discuss how this metric can be experimen...

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Main Authors: Tolosa-Simeón, Mireia (Author) , Parra-López, Álvaro (Author) , Sánchez-Kuntz, Natalia (Author) , Haas, Tobias (Author) , Viermann, Celia (Author) , Sparn, Marius (Author) , Liebster, Nikolas (Author) , Hans, Maurus (Author) , Kath, Elinor (Author) , Strobel, Helmut (Author) , Oberthaler, Markus K. (Author) , Flörchinger, Stefan (Author)
Format: Article (Journal)
Language:English
Published: 14 September 2022
In: Physical review
Year: 2022, Volume: 106, Issue: 3, Pages: 1-18
ISSN:2469-9934
DOI:10.1103/PhysRevA.106.033313
Online Access:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/PhysRevA.106.033313
Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/PhysRevA.106.033313
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Author Notes:Mireia Tolosa-Simeón, Álvaro Parra-López, Natalia Sánchez-Kuntz, Tobias Haas, Celia Viermann, Marius Sparn, Nikolas Liebster, Maurus Hans, Elinor Kath, Helmut Strobel, Markus K. Oberthaler, Stefan Floerchinger
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Summary:Phonons have the characteristic linear dispersion relation of massless relativistic particles. They arise as low-energy excitations of Bose-Einstein condensates and, in nonhomogeneous situations, are governed by a space- and time-dependent acoustic metric. We discuss how this metric can be experimentally designed to realize curved spacetime geometries, in particular, expanding Friedmann-Lemaître-Robertson-Walker cosmologies, with negative, vanishing, or positive spatial curvature. A nonvanishing Hubble rate can be obtained through a time-dependent scattering length of the background condensate. For relativistic quantum fields, this leads to the phenomenon of particle production, which we describe in detail. We explain how particle production and other interesting features of quantum field theory in curved spacetime can be tested in terms of experimentally accessible correlation functions.
Item Description:Gesehen am 13.10.2022
Physical Description:Online Resource
ISSN:2469-9934
DOI:10.1103/PhysRevA.106.033313

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