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dc.contributor.authorLamata, Lucas-
dc.contributor.authorLeón, Juan-
dc.contributor.authorSchätz, T.-
dc.contributor.authorSolano, E.-
dc.identifier.citationPhysical Review Letters 98(25): 253005 (2007)en_US
dc.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/0701208en_US
dc.description.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.en_US
dc.description.sponsorshipL. L. acknowledges support from MEC FPU Grant No. AP2003-0014. L. L. and J. L. were partially supported by the Spanish MEC FIS2005-05304 and CSIC 2004 5 0E 271 projects. T. S. acknowledges support by DFG, MPQ, and MPG. E. S. is grateful for the hospitality at CSIC (Madrid) and acknowledges support from EU EuroSQIP and DFG SFB 631 projects.en_US
dc.format.extent167574 bytes-
dc.publisherAmerican Physical Societyen_US
dc.subject[PACS] Relativistic and quantum electrodynamic effects in atoms and moleculesen_US
dc.subject[PACS] Relativistic wave equations in quantum mechanicsen_US
dc.subject[PACS] Optical cooling of atoms; trappingen_US
dc.titleDirac Equation and Quantum Relativistic Effects in a Single Trapped Ionen_US
dc.description.peerreviewedPeer revieweden_US
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