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Hawking radiation on the lattice from Floquet and local Hamiltonian quench dynamics

Daan Maertens (UGent) , Nick Bultinck (UGent) and Karel Van Acoleyen (UGent)
(2024) PHYSICAL REVIEW B. 109(1).
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Abstract
We construct two free fermion lattice models exhibiting Hawking pair creation. Specifically, we consider the simplest case of a d = 1 + 1 massless Dirac fermion, for which the Hawking effect can be understood in terms of a quench of the uniform vacuum state with a nonuniform Hamiltonian that interfaces modes with opposite chirality. For both our models, we find that additional modes arising from the lattice discretization play a crucial role, as they provide the bulk reservoir for the Hawking radiation: the Hawking pairs emerge from fermions deep inside the Fermi sea scattering off the effective black hole horizon. Our first model combines local hopping dynamics with a translation over one lattice site, and we find the resulting Floquet dynamics to realize a causal horizon, with fermions scattering from the region outside the horizon. For our second model, which relies on a purely local hopping Hamiltonian, we find the fermions to scatter from the inside. In both cases, for Hawking temperatures up to the inverse lattice spacing, we numerically find the resulting Hawking spectrum to be in perfect agreement with the Fermi-Dirac quantum field theory prediction.
Keywords
Hawking radiation, Black holes, Floquet systems, quantum many body systems, quantum quench, BLACK-HOLE EVAPORATION, DIFFERENCE-EQUATIONS, ANALOG

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MLA
Maertens, Daan, et al. “Hawking Radiation on the Lattice from Floquet and Local Hamiltonian Quench Dynamics.” PHYSICAL REVIEW B, vol. 109, no. 1, American Physical Society (APS), 2024, doi:10.1103/physrevb.109.014309.
APA
Maertens, D., Bultinck, N., & Van Acoleyen, K. (2024). Hawking radiation on the lattice from Floquet and local Hamiltonian quench dynamics. PHYSICAL REVIEW B, 109(1). https://doi.org/10.1103/physrevb.109.014309
Chicago author-date
Maertens, Daan, Nick Bultinck, and Karel Van Acoleyen. 2024. “Hawking Radiation on the Lattice from Floquet and Local Hamiltonian Quench Dynamics.” PHYSICAL REVIEW B 109 (1). https://doi.org/10.1103/physrevb.109.014309.
Chicago author-date (all authors)
Maertens, Daan, Nick Bultinck, and Karel Van Acoleyen. 2024. “Hawking Radiation on the Lattice from Floquet and Local Hamiltonian Quench Dynamics.” PHYSICAL REVIEW B 109 (1). doi:10.1103/physrevb.109.014309.
Vancouver
1.
Maertens D, Bultinck N, Van Acoleyen K. Hawking radiation on the lattice from Floquet and local Hamiltonian quench dynamics. PHYSICAL REVIEW B. 2024;109(1).
IEEE
[1]
D. Maertens, N. Bultinck, and K. Van Acoleyen, “Hawking radiation on the lattice from Floquet and local Hamiltonian quench dynamics,” PHYSICAL REVIEW B, vol. 109, no. 1, 2024.
@article{01HNWNZYZS0DJHW2BC3AXF7CRN,
  abstract     = {{We construct two free fermion lattice models exhibiting Hawking pair creation. Specifically, we consider the simplest case of a 
d
=
1
+
1
 massless Dirac fermion, for which the Hawking effect can be understood in terms of a quench of the uniform vacuum state with a nonuniform Hamiltonian that interfaces modes with opposite chirality. For both our models, we find that additional modes arising from the lattice discretization play a crucial role, as they provide the bulk reservoir for the Hawking radiation: the Hawking pairs emerge from fermions deep inside the Fermi sea scattering off the effective black hole horizon. Our first model combines local hopping dynamics with a translation over one lattice site, and we find the resulting Floquet dynamics to realize a causal horizon, with fermions scattering from the region outside the horizon. For our second model, which relies on a purely local hopping Hamiltonian, we find the fermions to scatter from the inside. In both cases, for Hawking temperatures up to the inverse lattice spacing, we numerically find the resulting Hawking spectrum to be in perfect agreement with the Fermi-Dirac quantum field theory prediction.}},
  articleno    = {{014309}},
  author       = {{Maertens, Daan and Bultinck, Nick and Van Acoleyen, Karel}},
  issn         = {{2469-9950}},
  journal      = {{PHYSICAL REVIEW B}},
  keywords     = {{Hawking radiation,Black holes,Floquet systems,quantum many body systems,quantum quench,BLACK-HOLE EVAPORATION,DIFFERENCE-EQUATIONS,ANALOG}},
  language     = {{eng}},
  number       = {{1}},
  pages        = {{19}},
  publisher    = {{American Physical Society (APS)}},
  title        = {{Hawking radiation on the lattice from Floquet and local Hamiltonian quench dynamics}},
  url          = {{http://doi.org/10.1103/physrevb.109.014309}},
  volume       = {{109}},
  year         = {{2024}},
}
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