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

Fuente: arXiv
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Hauptverfasser: Suprano, Alessia, Zia, Danilo, Polino, Emanuele, Poderini, Davide, Carvacho, Gonzalo, Sciarrino, Fabio, Lugli, Matteo, Bisio, Alessandro, Perinotti, Paolo
Format: Preprint
Veröffentlicht: 2024
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author Suprano, Alessia
Zia, Danilo
Polino, Emanuele
Poderini, Davide
Carvacho, Gonzalo
Sciarrino, Fabio
Lugli, Matteo
Bisio, Alessandro
Perinotti, Paolo
author_facet Suprano, Alessia
Zia, Danilo
Polino, Emanuele
Poderini, Davide
Carvacho, Gonzalo
Sciarrino, Fabio
Lugli, Matteo
Bisio, Alessandro
Perinotti, Paolo
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2402_07672
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Photonic cellular automaton simulation of relativistic quantum fields: observation of Zitterbewegung
Suprano, Alessia
Zia, Danilo
Polino, Emanuele
Poderini, Davide
Carvacho, Gonzalo
Sciarrino, Fabio
Lugli, Matteo
Bisio, Alessandro
Perinotti, Paolo
Quantum Physics
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.
title Photonic cellular automaton simulation of relativistic quantum fields: observation of Zitterbewegung
topic Quantum Physics
url https://arxiv.org/abs/2402.07672