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Dirac Equation and Quantum Relativistic Effects in a Single Trapped Ion

AuthorsLamata, Lucas ; León, Juan ; Schätz, T.; Solano, E.
Keywords[PACS] Relativistic and quantum electrodynamic effects in atoms and molecules
[PACS] Relativistic wave equations in quantum mechanics
[PACS] Optical cooling of atoms; trapping
Issue Date22-Jun-2007
PublisherAmerican Physical Society
CitationPhysical Review Letters 98(25): 253005 (2007)
AbstractWe present a method of simulating the Dirac equation in 3+1 dimensions for a free spin-1/2 particle in a single trapped ion. The Dirac bispinor is represented by four ionic internal states, and position and momentum of the Dirac particle are associated with the respective ionic variables. We show also how to simulate the simplified 1+1 case, requiring the manipulation of only two internal levels and one motional degree of freedom. Moreover, we study relevant quantum-relativistic effects, like the Zitterbewegung and Klein's paradox, the transition from massless to massive fermions, and the relativistic and nonrelativistic limits, via the tuning of controllable experimental parameters.
Description4 pages, 1 figure.-- PACS nrs.: 31.30.Jv; 03.65.Pm; 32.80.Pj.-- ArXiv pre-print available at: http://arxiv.org/abs/quant-ph/0701208
Publisher version (URL)http://dx.doi.org/10.1103/PhysRevLett.98.253005
Appears in Collections:(CFMAC-IFF) Artículos
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