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Long time universality of black-hole lasers

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2021-02
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IOP Publishing
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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 toward 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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©2021 The Author(s) We would like to devote this work to the memory of Renaud Parentani, with whom we enjoyed valuable discussions, especially during the visit of one of us (JRMdN) to Universite Paris-Saclay. We also thank Florent Michel for useful remarks during the mentioned visit. This work has been supported by Grant FIS2017-84368-P from Spain's MINECO. IC acknowledges support from the European Union's Horizon 2020 Research and Innovation Program under Grant Agreement No. 820392 (PhoQuS) and from the Provincia Autonoma di Trento.
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