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Dirac Equation in ( <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mn>1</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:math> )-Dimensional Curved Spacetime and the Multiphoton Quantum Rabi Model
We introduce an exact mapping between the Dirac equation in ($1+1$)-dimensional curved spacetime (DCS) and a multiphoton quantum Rabi model (QRM). A background of a ($1+1$)-dimensional black hole requires a QRM with one- and two-photon terms that can be implemented in a trapped ion for the quantum simulation of Dirac …