This work investigates which dilaton gravity models can reproduce typical two-dimensional black hole analogues, such as those realized in superconducting quantum circuits. Reasonable assumptions that such models must satisfy are identified, and dilaton models are found where the dependence of Hawking temperature T on the state can be switched on and off—a feature absent in four-dimensional black holes. In cases where the analogue black hole has a state-independent temperature, the kinematics determining T decouples from the dynamics underlying the entropy S. Numerical analysis shows that these black hole analogues do not correspond to known dilaton models, limiting their applicability for drawing theoretical conclusions. It is demonstrated that the logic can be reversed: starting from well-established dilaton models, one derives conditions that laboratory implementations must meet, shifting the problem from theory to experiment.
An ordinary kettle: you heat it up—temperature rises, molecular chaos grows, and steam shoots out. But in the lab, they've created a peculiar "kettle"—an analog black hole made from superconducting circuits cooled to the extreme. The idea of William Unruh allowed them to mimic the key traits of real black holes: trapping waves and the temperature predicted by Hawking.
The main oddity: here, the link between heating and entropy (a measure of disorder) can be severed. In a real black hole, temperature is rigidly tied to mass—the heavier it is, the colder it gets. But in the lab version, you can change it without touching the internal state: as if the kettle heats up, but no steam comes out. The system's behavior splits into two independent halves—thermal and "disorderly."
Yet a surprise: no known model of gravity describes these samples. The scientists took an inverse approach—instead of tweaking theory, they engineered superconducting circuits with desired properties. Thus, the quest for quantum rules for curved spacetime turns into a precise engineering task.
🎯 It was [scientist:Jacob Bekenstein]Jacob Bekenstein[/scientist] who first suggested that black holes have entropy, linking it to the area of the event horizon.
🎬 In the movie "Interstellar," a black hole bends time—analog systems let us see similar effects at the scale of a microchip.