Curved and expanding spacetime geometries in Bose-Einstein condensates

التفاصيل البيبلوغرافية
العنوان: Curved and expanding spacetime geometries in Bose-Einstein condensates
المؤلفون: Tolosa-Simeón, Mireia, Parra-López, Álvaro, Sánchez-Kuntz, Natalia, Haas, Tobias, Viermann, Celia, Sparn, Marius, Liebster, Nikolas, Hans, Maurus, Kath, Elinor, Strobel, Helmut, Oberthaler, Markus K., Floerchinger, Stefan
سنة النشر: 2022
المجموعة: Condensed Matter
General Relativity and Quantum Cosmology
High Energy Physics - Theory
مصطلحات موضوعية: Condensed Matter - Quantum Gases, General Relativity and Quantum Cosmology, High Energy Physics - Theory
الوصف: 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-Lema\^itre-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.
Comment: 19 pages, 11 figures
نوع الوثيقة: Working Paper
DOI: 10.1103/PhysRevA.106.033313
URL الوصول: http://arxiv.org/abs/2202.10441
رقم الانضمام: edsarx.2202.10441
قاعدة البيانات: arXiv
الوصف
DOI:10.1103/PhysRevA.106.033313