Typical analogue black holes in superconducting circuits do not match known dilaton gravity models, but known models can be used to derive the lab conditions needed to realize them.
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In the Vaidya model of evaporating BTZ black holes the Hawking-Page phase transition can release all information at once through a quantum jump and reproduce the Page curve without islands when the transition precedes the Page time.
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On the dilaton gravity of analogue black holes
Typical analogue black holes in superconducting circuits do not match known dilaton gravity models, but known models can be used to derive the lab conditions needed to realize them.
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Hawking-Page phase transition, Page curve and islands in black holes
In the Vaidya model of evaporating BTZ black holes the Hawking-Page phase transition can release all information at once through a quantum jump and reproduce the Page curve without islands when the transition precedes the Page time.