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arXiv · 2010.09051

Long time universality of black-hole lasers

J. R. M. de Nova·P. F. Palacios·I. Carusotto·F. Sols
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Abstract

For flowing quantum gases, it has been found that at long times an initial black-hole laser (BHL) configuration exhibits only two possible states: the ground state or a periodic self-oscillating state of continuous emission of solitons. So far, all the works on this subject are based on a highly idealized model, quite difficult to implement experimentally. Here we study the instability spectrum and the time evolution of a recently proposed realistic model of a BHL, thus providing a useful theoretical tool for the clear identification of black-hole lasing in future experiments. We further confirm the existence of a well-defined phase diagram at long times, which bespeaks universality in the long-time behavior of a BHL. Additionally, we develop a complementary model in which the same potential profile is applied to a subsonic homogeneous flowing condensate that, despite not forming a BHL, evolves towards the same phase diagram as the associated BHL model. This result reveals an even stronger form of robustness in the long-time behavior with respect to the transient, which goes beyond what has been described in the previous literature.

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J. R. M. de Nova, P. F. Palacios, I. Carusotto, F. Sols. 2021-03-01. Long time universality of black-hole lasers. https://doi.org/10.1088/1367-2630%2Fabdce2

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