Frederick W. Strauch

Mentor: Eite Tiesinga

Atomic Physics Division 842.02

Physics Laboratory

Building 221

Room A239

Mail Stop 8423

Phone: 301-975-5159

Fax: 301-990-1350

Email: frederick.strauch@nist.gov

Not a Sigma Xi member

Category: Physics

Title: Relativistic Quantum Walks

Abstract: By pursuing the deep relation between the one-dimensional Dirac equation and quantum walks, the physical role of quantum interference in the latter is explained. It is shown that the time evolution of the probability density of a quantum walker, initially localized on a lattice, is directly analogous to relativistic wave-packet spreading. Analytic wave-packet solutions reveal a striking connection between the discrete and continuous time quantum walks.

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