Ergoregion instability of a rotating quantum system
Leandro A. Oliveira, Luis J. Garay, Lu\'is C. B. Crispino

TL;DR
This paper investigates the ergoregion instability in a rotating Bose-Einstein condensate by analyzing quasinormal modes using numerical methods, revealing insights into the stability of quantum rotating systems.
Contribution
It introduces a novel analysis of ergoregion instability in quantum systems using acoustic analogies and numerical techniques, expanding understanding of rotating Bose-Einstein condensates.
Findings
Identification of quasinormal modes in rotating BECs
Comparison of numerical methods for stability analysis
Insights into ergoregion instability conditions
Abstract
Using the analogy between acoustic perturbations in an ideal fluid and the description of a Klein-Gordon scalar field in a curved spacetime, we study the quasinormal modes of a quantum system: the rotating Bose-Einstein condensate. To compute quasinormal frequencies, we use two different numerical techniques, namely the direct integration and the continued-fraction methods. We study in detail the ergoregion instability of this linearly perturbed system, comparing the results with different setup configurations.
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