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Simulation of the massless Dirac field in 1+1D curved spacetime
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abstract
Simulating the nature of quantum fields in diverse spacetime backgrounds offers valuable insights for the fundamental comprehension of quantum mechanics and general relativity. Here we introduce a novel method for mapping the massless Dirac equation in 1+1D curved spacetime to a controllable quantum simulation model, applicable to various observers' perspectives. We perform numerical simulations of Simpson spacetime and calculate tunneling rates in Painleve and Schwarzschild coordinates, which align closely with theoretical predictions of Hawking radiation. Additionally, we show the transition of Simpson spacetime from a regular black hole to a wormhole as the parameter $"a > r_s"$. This method facilitates the study of spacetime from various coordinate perspectives (observers), providing deeper insights and understanding.
Forward citations
Cited by 2 Pith papers
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Influence of dark matter on quantum entanglement and coherence in curved spacetime
In a Schwarzschild black hole surrounded by perfect fluid dark matter, quantum entanglement and coherence of bosonic and fermionic fields vary non-monotonically with dark matter density, with bosonic entanglement and ...
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Simulating Hawking radiation in quantum many-body systems: deviations from the thermal spectrum
A bosonic hopping model that emulates quantum fields in curved spacetime is shown to reproduce the non-thermal E^2 corrections to Hawking radiation predicted by the tunneling method.
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