Dirac Equation and Quantum Relativistic Effects in a Single Trapped Ion

Details Dirac Equation and Quantum Relativistic Effects in a Single Trapped Ion Dirac Equation and Quantum Relativistic Effects in a Single Trapped Ion

2007-01-29

arxiv.org/abs/quant-ph/0701208v2

Phys.Rev.Lett.98:253005,2007

Physics

Quantum Physics

4 pages and 1 figure, minor corrections, accepted for publication in Physical Review Letters

Scientific paper

10.1103/PhysRevLett.98.253005

We 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, with the relativistic and nonrelativistic limits, via the tuning of controllable experimental parameters.

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