Simulation of the massless Dirac field in 1+1D curved spacetime
arXiv:2411.15695 · doi:10.1007/s11433-025-2696-3
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 . This method facilitates the study of spacetime from various coordinate perspectives (observers), providing deeper insights and understanding.
arXiv comment7 pages, 10 figures
References in corpus (49)
- Sonic analog of gravitational black holes in Bose-Einstein condensates
- Observation of quantum Hawking radiation and its entanglement in an analogue black hole
- Measurement of stimulated Hawking emission in an analogue system
- A tunable coupling scheme for implementing high-fidelity two-qubit gates
- Black-bounce to traversable wormhole
- On the eigenfunctions of the Dirac operator on spheres and real hyperbolic spaces
- Observation of negative-frequency waves in a water tank: A classical analogue to the Hawking effect?
- Gravity wave analogs of black holes
- Trapping light by mimicking gravitational lensing
- Quantum Simulation of Coherent Hawking-Unruh Radiation
- Many-body Hilbert space scarring on a superconducting processor
- Light rings and shadows of static black holes in effective quantum gravity
- Dynamic thin-shell black-bounce traversable wormholes
- Analogue simulations of quantum gravity with fluids
- Definite photon deflections of topological defects in metasurfaces and symmetry-breaking phase transitions with material loss
- Quantum simulation of Hawking radiation and curved spacetime with a superconducting on-chip black hole
- Fermions without Vierbeins in Curved Space-Time
- Rotating Curved Spacetime Signatures from a Giant Quantum Vortex
- Dirac Equation in (1+1)-Dimensional Curved Spacetime and the Multiphoton Quantum Rabi Model
- Analog cosmological particle generation in a superconducting circuit
- Observation of many-body Fock space dynamics in two dimensions
- Verifying the upper bound on the speed of scrambling with the analogue Hawking radiation of trapped ions
- Controlling Surface Plasmons Through Covariant Transformation of the Spin-Dependent Geometric Phase Between Curved Metamaterials
- Simulating quantum field theory in curved spacetime with quantum many-body systems
- Dirac equation in 2-dimensional curved spacetime, particle creation, and coupled waveguide arrays
- Acoustic black hole in Schwarzschild spacetime: quasi-normal modes, analogous Hawking radiation and shadows
- Rotating quantum wave turbulence
- Classical aspects of Hawking radiation verified in analogue gravity experiment
- Probing Lorentz-Invariance-Violation Induced Nonthermal Unruh Effect in Quasi-Two-Dimensional Dipolar Condensates
- Roton entanglement in quenched dipolar Bose-Einstein condensates
- Analogue Hawking Radiation and Sine-Gordon Soliton in a Superconducting Circuit
- Analogue of the pole-skipping phenomenon in acoustic black holes
- Analogue Gravity on a Superconducting Chip
- Probing spin hydrodynamics on a superconducting quantum simulator
- Probing low-energy Lorentz violation from high-energy modified dispersion in dipolar Bose-Einstein condensates
- High-order topological pumping on a superconducting quantum processor
- Mapping curved spacetimes into Dirac spinors
- Observation of the acceleration of light in a tapered optical fiber
- Encoding relativistic potential dynamics into free evolution
- AdS/CFT Correspondence with a 3D Black Hole Simulator
- Analogous Hawking radiation from gapped excitations in a transonic flow of binary Bose-Einstein condensates
- Superconducting Quantum Simulation for Many-Body Physics beyond Equilibrium
- Quantum Simulation of Black Holes in a dc-SQUID Array
- Using nanokelvin quantum thermometry to detect timelike Unruh effect in a Bose-Einstein condensate
- An optical analogue for rotating BTZ black holes
- Shielding of Penrose superradiance in optical black holes
- Simulating superluminal propagation of Dirac particles using trapped ions
- Analogue gravitational lensing in optical Bose-Einstein condensates
- Measurement of the inner horizon in the analog of rotating BTZ black holes by an improved photon fluid
Cited by in corpus (9)
- Can boundary configuration be tuned to optimize directional quantum steering harvesting?
- Quantum steering for different types of Bell-like states in gravitational background
- Simulating Hawking radiation in quantum many-body systems: deviations from the thermal spectrum
- Multiqubit coherence of mixed states near event horizon
- Entropic uncertainty and coherence in Einstein-Gauss-Bonnet gravity
- Bosonic and fermionic mutual information of N-partite systems in dilaton black hole background
- Digit quantum simulation of a fermion field in an expanding universe
- Non-monotonic evolution of multipartite entanglement under the Unruh effect
- Velocity effects slightly mitigating the quantumness degradation of an Unruh-DeWitt detector