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Signature-Change Events, Trans-Planckian Physics and Quasi-Particle Amplification in Bose-Einstein Condensates

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Abstract

We explore signature-changing emergent geometries in a BEC; specifically analogues of signature change from Euclidean to Lorentzian regions. In our BEC-based analogue model, signature change is achieved via a change in atomic interactions from repulsive to attractive. The particle production resulting from a finite-duration Euclidean-signature event is calculated firstly in the hydrodynamic limit. A combination of trans-Planckian physics and signature change results from the inclusion of ultraviolet modes, modifying the expected particle production. We also propose using analogue signature changing events as an amplifier for analogue “cosmological particle production” and investigate the experimental applicability of this in future BEC experiments.

© 2007 Optical Society of America

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