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Considering the parity symmetry related to the Dirac equation, the interplaybetween energy localization and the temporal evolution of parity-definedquantum superpositions is investigated for fermions in a magnetic field. Theunitary evolution of Dirac cat states is obtained by initializing either evenor odd principal quantum numbers in the equivalent harmonic oscillator basis inrelativistic Landau levels. Quantum operators feature well-defined selectionrules for states thus identified, exhibiting a permanent revival structure. Ouranalysis is specialized for the survival probability function and for theexpectation values of spinor matrix operators, which are identified asquantifiers of spin-parity correlations encoded in Dirac bispinors. In such acontext, the time evolving quantum state also imprints a signature on theenergy expansion. Namely, frequencies associated with revivals are doubled foreach revival order, being observed up to a so-called super revival time scale.Results show that Dirac cat states exhibit a fractional revival structure,which works as a probe of suppressions and regenerations of intrinsiccorrelations driven by the discrete spin-parity degrees of freedom of Diracbispinors.

Revival patterns for Dirac cat states in a constant magnetic field