Efficient protocol for exploring the quantum interference and entanglement of Dirac particles

We propose a protocol to effectively study the interference of Dirac particles in phase space. The negativity of the quasiprobability distribution in phase space and the entanglement between the internal and external degrees of freedom constitute the non-classical manifestations of this interference...

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Main Authors: Yuan Qiu, Ke-Xiong Yan, Jun-Hao Lin, Jie Song, Ye-Hong Chen, Yan Xia
Format: Article
Language:English
Published: IOP Publishing 2025-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/adf76f
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author Yuan Qiu
Ke-Xiong Yan
Jun-Hao Lin
Jie Song
Ye-Hong Chen
Yan Xia
author_facet Yuan Qiu
Ke-Xiong Yan
Jun-Hao Lin
Jie Song
Ye-Hong Chen
Yan Xia
author_sort Yuan Qiu
collection DOAJ
description We propose a protocol to effectively study the interference of Dirac particles in phase space. The negativity of the quasiprobability distribution in phase space and the entanglement between the internal and external degrees of freedom constitute the non-classical manifestations of this interference. The protocol makes use of a synthetic quantum Rabi model, which is obtained by applying a parametric drive to the Jaynes–Cummings model. When the parametric drive is almost resonant with the cavity frequency, the effective system Hamiltonian takes the same form as the one-dimensional Dirac particle Hamiltonian. We explore the quantum interference using this equivalent model and find that the interference pattern can occur even in the absence of the Zitterbewegung effect. In addition, we simulate the quantum behavior of Dirac particles encountering potential barriers through the simulation of Klein tunneling. These non-classical effects offer potential application in fields such as quantum computing.
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series New Journal of Physics
spelling doaj-art-102d618fd2c4432ba9e6f238b226f6762025-08-20T03:02:51ZengIOP PublishingNew Journal of Physics1367-26302025-01-0127808450310.1088/1367-2630/adf76fEfficient protocol for exploring the quantum interference and entanglement of Dirac particlesYuan Qiu0Ke-Xiong Yan1Jun-Hao Lin2Jie Song3https://orcid.org/0000-0002-0170-8268Ye-Hong Chen4Yan Xia5https://orcid.org/0000-0002-4539-298XFujian Key Laboratory of Quantum Information and Quantum Optics, Fuzhou University , Fuzhou 350116, People’s Republic of China; Department of Physics, Fuzhou University , Fuzhou 350116, People’s Republic of ChinaFujian Key Laboratory of Quantum Information and Quantum Optics, Fuzhou University , Fuzhou 350116, People’s Republic of China; Department of Physics, Fuzhou University , Fuzhou 350116, People’s Republic of ChinaFujian Key Laboratory of Quantum Information and Quantum Optics, Fuzhou University , Fuzhou 350116, People’s Republic of China; Department of Physics, Fuzhou University , Fuzhou 350116, People’s Republic of ChinaDepartment of Physics, Harbin Institute of Technology , Harbin 150001, People’s Republic of ChinaFujian Key Laboratory of Quantum Information and Quantum Optics, Fuzhou University , Fuzhou 350116, People’s Republic of China; Department of Physics, Fuzhou University , Fuzhou 350116, People’s Republic of China; Quantum Information Physics Theory Research Team, Center for Quantum Computing, RIKEN, Wako-shi , Saitama 351-0198, JapanFujian Key Laboratory of Quantum Information and Quantum Optics, Fuzhou University , Fuzhou 350116, People’s Republic of China; Department of Physics, Fuzhou University , Fuzhou 350116, People’s Republic of ChinaWe propose a protocol to effectively study the interference of Dirac particles in phase space. The negativity of the quasiprobability distribution in phase space and the entanglement between the internal and external degrees of freedom constitute the non-classical manifestations of this interference. The protocol makes use of a synthetic quantum Rabi model, which is obtained by applying a parametric drive to the Jaynes–Cummings model. When the parametric drive is almost resonant with the cavity frequency, the effective system Hamiltonian takes the same form as the one-dimensional Dirac particle Hamiltonian. We explore the quantum interference using this equivalent model and find that the interference pattern can occur even in the absence of the Zitterbewegung effect. In addition, we simulate the quantum behavior of Dirac particles encountering potential barriers through the simulation of Klein tunneling. These non-classical effects offer potential application in fields such as quantum computing.https://doi.org/10.1088/1367-2630/adf76fparametric amplificationDirac equationthe quantum Rabi model
spellingShingle Yuan Qiu
Ke-Xiong Yan
Jun-Hao Lin
Jie Song
Ye-Hong Chen
Yan Xia
Efficient protocol for exploring the quantum interference and entanglement of Dirac particles
New Journal of Physics
parametric amplification
Dirac equation
the quantum Rabi model
title Efficient protocol for exploring the quantum interference and entanglement of Dirac particles
title_full Efficient protocol for exploring the quantum interference and entanglement of Dirac particles
title_fullStr Efficient protocol for exploring the quantum interference and entanglement of Dirac particles
title_full_unstemmed Efficient protocol for exploring the quantum interference and entanglement of Dirac particles
title_short Efficient protocol for exploring the quantum interference and entanglement of Dirac particles
title_sort efficient protocol for exploring the quantum interference and entanglement of dirac particles
topic parametric amplification
Dirac equation
the quantum Rabi model
url https://doi.org/10.1088/1367-2630/adf76f
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AT jiesong efficientprotocolforexploringthequantuminterferenceandentanglementofdiracparticles
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