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Revealing inherent quantum interference and entanglement of a Dirac particle

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arxiv 2211.12779 v3 pith:74GVVYCW submitted 2022-11-23 quant-ph

Revealing inherent quantum interference and entanglement of a Dirac particle

classification quant-ph
keywords diracinterferencequantumzitterbewegungclassicalentanglementfundamentalnumerical
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Although originally predicted in relativistic quantum mechanics, Zitterbewegung can also appear in some classical systems, which leads to the important question of whether Zitterbewegung of Dirac particles is underlain by a more fundamental and universal interference behavior without classical analogs. We here reveal such an interference pattern in phase space, which underlies but goes beyond Zitterbewegung, and whose nonclassicality is manifested by the negativity of the phase space quasiprobability distribution, and the associated pseudospin-momentum entanglement. We confirm this discovery by numerical simulation and an on-chip experiment, where a superconducting qubit and a quantized microwave field respectively emulate the internal and external degrees of freedom of a Dirac particle. The measured quasiprobability negativities agree well with the numerical simulation. Besides being of fundamental importance, the demonstrated nonclassical effects are useful in quantum technology.

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