Report on 2406.01261v4

Abstract

There has been considerable effort to mimic analog black holes and wormholes in solid state systems.Lattice realizations in particular present specific challenges.One of those is that event horizons in general have both white and black hole (grey hole) character, a feature guaranteed by the Nielsen-Ninomiya theorem.We here explore and extend the capability of superconducting circuit hardware to implement on-demand spacetime geometries on lattices, combining nonreciprocity of gyrators with the nonlinearity of Josephson junctions.We demonstrate the possibility of the metric sharply changing within a single lattice point, thus entering a regime where the modulation of system parameters is "trans-Planckian", and the Hawking temperature ill-defined.Instead of regular Hawking radiation, we find an instability in the form of an exponential burst of charge and phase quantum fluctuations over short time scales -a robust signature even in the presence of an environment.Moreover, we present a loop-hole for the typical black/white hole ambiguity in lattice simulations: exceptional points in the dispersion relation allow for the creation of pure black (or white) hole horizons, at the expense of a radical change in the dynamics of the wormhole interior.

Authors 7

1. Mohammad Atif Javed

   Forschungszentrum Jülich

   Affiliation as printed

   Peter Grünberg Institute , Theoretical Nanoelectronics , Forschungszentrum Jülich , D-52425 Jülich , Germany

2. Daniel Kruti

   Forschungszentrum Jülich

   Affiliation as printed

   Peter Grünberg Institute , Theoretical Nanoelectronics , Forschungszentrum Jülich , D-52425 Jülich , Germany

3. Ahmed Kenawy

   Forschungszentrum Jülich

   Affiliation as printed

   Peter Grünberg Institute , Theoretical Nanoelectronics , Forschungszentrum Jülich , D-52425 Jülich , Germany

4. Tobias Herrig

   Forschungszentrum Jülich

   Affiliation as printed

   Peter Grünberg Institute , Theoretical Nanoelectronics , Forschungszentrum Jülich , D-52425 Jülich , Germany

5. Christina Koliofoti

   Forschungszentrum Jülich

   Affiliation as printed

   Peter Grünberg Institute , Theoretical Nanoelectronics , Forschungszentrum Jülich , D-52425 Jülich , Germany

6. Oleksiy Kashuba

   Karlsruhe Institute of Technology · Forschungszentrum Jülich

   Affiliation as printed

   Institute for Quantum Materials and Technology , Karlsruhe Institute of Technology , 76131 Karlsruhe , Germany

   Peter Grünberg Institute , Theoretical Nanoelectronics , Forschungszentrum Jülich , D-52425 Jülich , Germany

7. Roman-Pascal Riwar Aachen Institute for Quantum Information

   Forschungszentrum Jülich · RWTH Aachen University

   Affiliation as printed

   Institute for Quantum Information , RWTH Aachen University , 52074 Aachen , Germany

   Peter Grünberg Institute , Theoretical Nanoelectronics , Forschungszentrum Jülich , D-52425 Jülich , Germany