Particle creation in the spin modes of a dynamically oscillating two-component Bose-Einstein condensate

Year: 2021

Authors: Butera S., Carusotto I.

Autors Affiliation: Univ Glasgow, Sch Phys & Astron, Glasgow G12 8QQ, Lanark, Scotland; Univ Trento, INO CNR BEC Ctr, I-38123 Povo, Italy; Univ Trento, Dipartimento Fis, I-38123 Povo, Italy.

Abstract: We investigate the parametric amplification of the zero-point fluctuations in the spin modes of a two-component Bose-Einstein condensate, triggered by the dynamical evolution of the condensate density. We first make use of a Thomas-Fermi approximation to develop a tractable theoretical model of the quantum dynamics of the Bogoliubov excitations in a harmonically trapped condensate with a time-dependent trapping frequency. The predictions of this model are then compared to an ab initio numerical study of the correlation functions of density and spin fluctuations for general spatially inhomogeneous configurations. Results are shown for the two cases of expanding and oscillating condensates: while the quantum excitation of spin modes remains weak and relatively featureless in the case of an expanding condensate, clear and experimentally promising signatures of particle creation are anticipated for the oscillating case under suitable resonance conditions between the density and the spin modes.

Journal/Review: PHYSICAL REVIEW D

Volume: 104 (8)      Pages from: 83503-1  to: 83503-15

More Information: Continuous stimulating discussions with Gabriele Ferrari, Alessio Recati, Anna Berti and Luca Giacomelli are warmly acknowledged. S. B. acknowledges funding from the Leverhulme Trust Grant No. ECF-2019-461, and from University of Glasgow via the Lord Kelvin/Adam Smith (LKAS) Leadership Fellowship. I. C. acknowledges support from the European Union Horizon 2020 research and innovation program under Grant Agreement No. 820392 (PhoQuS) and from the Provincia Autonoma di Trento.
KeyWords: Quantized-fields; Analog; Time; Scattering; Radiation; Evolution
DOI: 10.1103/PhysRevD.104.083503

Citations: 5
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