Dirac equation in 2-dimensional curved spacetime, particle creation, and coupled waveguide arrays
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Prior optical simulations of relativistic phenomena are limited either in the classical regime or in flat space, leaving quantum evolution related with general relativity uninvestigated.
“However, all these works are limited either in classical regime or in the flat space, leaving the quantum evolution related with general relativity uninvestigated.”
From Quantum simulation of particle pair creation near the event horizon (2020) · cites this paper as [48]
Cites
Particle creation by black holes
Hawking, S. W. (1975) · Communications In Mathematical Physics · doi:10.1007/bf02345020 · Cited by 13,106 · see citing works
Experimental Observation of Linear and Nonlinear Optical Bloch Oscillations
Morandotti, R., Peschel, U., Aitchison, J. S., Eisenberg, H. S., & Silberberg, Y. (1999) · Physical Review Letters · doi:10.1103/physrevlett.83.4756 · Cited by 626 · see citing works
Discrete optics in femtosecond-laser-written photonic structures
Szameit, A., & Nolte, S. (2010) · Journal of Physics B: Atomic, Molecular and Optical Physics · doi:10.1088/0953-4075/43/16/163001 · Cited by 610 · see citing works
Optical Bloch oscillations in waveguide arrays
Peschel, U., Pertsch, T., & Lederer, F. (1998) · Optics Letters · doi:10.1364/ol.23.001701 · Cited by 328 · see citing works
Classical Simulation of Relativistic<i>Zitterbewegung</i>in Photonic Lattices
Dreisow, F., Heinrich, M., Keil, R., Tünnermann, A., Nolte, S., Longhi, S., & Szameit, A. (2010) · Physical Review Letters · doi:10.1103/physrevlett.105.143902 · Cited by 235 · see citing works
Photonic analog of Zitterbewegung in binary waveguide arrays
Longhi, S. (2010) · Optics Letters · doi:10.1364/ol.35.000235 · Cited by 131 · see citing works
Classical simulation of relativistic quantum mechanics in periodic optical structures
Longhi, S. (2011) · Applied Physics B · doi:10.1007/s00340-011-4628-7 · Cited by 72 · see citing works
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Quantum simulation of particle pair creation near the event horizon
Wang, Y., Sheng, C., Lu, Y.-H., Gao, J., Chang, Y.-J., Pang, X.-L., Yang, T.-H., Zhu, S.-N., Liu, H., & Jin, X.-M. (2020) · National Science Review · doi:10.1093/nsr/nwaa111 · Cited by 18 · see citing works
Experimental observation of hyperbolic spacetime dynamics
Himmel, J., Bacq, C., Maurya, K. C., Ehrhardt, M., Heinrich, M., Wolterink, T. A. W., Basteiro, P., Das, R. N., Meyer, R., Huber-Loyola, T., et al. (2026) · arXiv · doi:10.48550/arxiv.2606.09501
“As detailed in section A.4 of the Appendix, we discretize the AdS coordinate as θ s = 2 πs/N , where N is the total number of waveguides in the array and s ∈ Z is the discretization number [29].”
- Authors
- Koke, C., Noh, C., & Angelakis, D. G.
- Affiliations
- Heidelberg University (DE)
- Korea Institute for Advanced Study (KR)
- Centre for Quantum Technologies (SG)
- Corresponding author
- Noh, Changsuk
- Venue
- Annals of Physics
- Publisher
- Elsevier BV
- Published
- 2016-11
- Volume
- 374
- Pages
- 162-178
- ISSN
- 0003-4916 (ISSN-L)
- OpenAlex
- W2476941453
- Cited by
- 44
- References
- 7
- Citations by year
- 2026: 1 · 2025: 4 · 2024: 1 · 2023: 2 · 2022: 9 · 2021: 3 · 2020: 7 · 2019: 9 · 2018: 6 · 2017: 2
- FWCI
- 2.74
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Annals of Physics (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- National Research Foundation
- Ministry of Education - Singapore (MOE2012-T3-1-009)
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Electrodynamics and Casimir Effect
- Keywords
- Dirac equation, curved spacetime, particle creation, quantum field theory in curved spacetime, time-dependent metric, coupled waveguide arrays, Hawking effect, Unruh effect, Klein-Gordon equation, bosons and fermions
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