Photonic cellular automaton simulation of relativistic quantum fields: observation of Zitterbewegung

• URL: http://arxiv.org/abs/2402.07672v1
• Date: Mon, 12 Feb 2024 14:27:32 GMT
• Title: Photonic cellular automaton simulation of relativistic quantum fields: observation of Zitterbewegung
• Authors: Alessia Suprano, Danilo Zia, Emanuele Polino, Davide Poderini, Gonzalo Carvacho, Fabio Sciarrino, Matteo Lugli, Alessandro Bisio, and Paolo Perinotti
• Abstract summary: Quantum Cellular Automaton (QCA) is a model for universal quantum computation. We introduce the first photonic platform for implementing QCA-simulation of a free relativistic Dirac quantum field in 1+1 dimension.
• Score: 33.9160941148077
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantum Cellular Automaton (QCA) is a model for universal quantum computation and a natural candidate for digital quantum simulation of relativistic quantum fields. Here we introduce the first photonic platform for implementing QCA-simulation of a free relativistic Dirac quantum field in 1+1 dimension, through a Dirac Quantum Cellular Automaton (DQCA). Encoding the field position degree of freedom in the Orbital Angular Momentum (OAM) of single photons, our state-of-the-art setup experimentally realizes 8 steps of a DQCA, with the possibility of having complete control over the input OAM state preparation and the output measurement making use of two spatial light modulators. Therefore, studying the distribution in the OAM space at each step, we were able to reproduce the time evolution of the free Dirac field observing, the Zitterbewegung, an oscillatory movement extremely difficult to see in real case experimental scenario that is a signature of the interference of particle and antiparticle states. The accordance between the expected and measured Zitterbewegung oscillations certifies the simulator performances, paving the way towards the application of photonic platforms to the simulation of more complex relativistic effects.

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