Dirac particle dynamics of a superconducting circuit
Open accessAbstract
The core concept of quantum simulation is the mapping of an inaccessible quantum system onto a controllable one by identifying analogous dynamics. We map the Dirac equation of relativistic quantum mechanics in $3+1$ dimensions onto a multilevel superconducting Josephson circuit. Resonant drives determine the particle mass and momentum, and the quantum state represents the internal spinor dynamics which are cast in the language of multilevel quantum optics. Zitterbewegung and wave-packet dynamics are reproduced. The degeneracy of the Dirac spectrum corresponds to a degeneracy of bright and dark states within the system, and particle spin and helicity are employed to interpret the multilevel dynamics. We also simulate the Schwinger mechanism of electron-positron pair production by introducing an analogous electric field as a doubly degenerate Landau-Zener problem. All proposed measurements can be performed well within typical decoherence times. This work opens an avenue for experimental study of the Dirac equation and provides a tool for control of complex dynamics in multilevel systems.
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Experimental simulations of the Dirac equation in 3+1 dimensions remain lacking.
“Experimental simulations of the Dirac equation in 3+1 dimensions remain lacking.”
From Experimental simulation of Dirac equation in superconducting qubits (2025) · cites this paper as [62]
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References 35 · Cited by 3
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- Authors
- Svetitsky, E., & Katz, N.
- Affiliations
- Hebrew University of Jerusalem (IL)
- ORCID
- Katz, Nadav
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2019-04-03
- Volume
- 99
- Issue
- 4
- ISSN
- 0556-2791 (ISSN-L)
- 2469-9926
- 2469-9934
- OpenAlex
- W2766462521
- Cited by
- 3
- References
- 35
- Citations by year
- 2025: 2 · 2022: 1
- FWCI
- 0.11
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review A (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- European Research Council (335933)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Cold Atom Physics and Bose-Einstein Condensates
- Keywords
- Dirac equation, quantum simulation, Zitterbewegung, wave packet dynamics, bright and dark states, Landau-Zener problem, Schwinger mechanism, electron-positron pair production, resonant drive, decoherence
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