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rdf:type
lifeskim:mentions
pubmed:issue
7277
pubmed:dateCreated
2010-1-7
pubmed:abstractText
The Dirac equation successfully merges quantum mechanics with special relativity. It provides a natural description of the electron spin, predicts the existence of antimatter and is able to reproduce accurately the spectrum of the hydrogen atom. The realm of the Dirac equation-relativistic quantum mechanics-is considered to be the natural transition to quantum field theory. However, the Dirac equation also predicts some peculiar effects, such as Klein's paradox and 'Zitterbewegung', an unexpected quivering motion of a free relativistic quantum particle. These and other predicted phenomena are key fundamental examples for understanding relativistic quantum effects, but are difficult to observe in real particles. In recent years, there has been increased interest in simulations of relativistic quantum effects using different physical set-ups, in which parameter tunability allows access to different physical regimes. Here we perform a proof-of-principle quantum simulation of the one-dimensional Dirac equation using a single trapped ion set to behave as a free relativistic quantum particle. We measure the particle position as a function of time and study Zitterbewegung for different initial superpositions of positive- and negative-energy spinor states, as well as the crossover from relativistic to non-relativistic dynamics. The high level of control of trapped-ion experimental parameters makes it possible to simulate textbook examples of relativistic quantum physics.
pubmed:language
eng
pubmed:journal
pubmed:status
PubMed-not-MEDLINE
pubmed:month
Jan
pubmed:issn
1476-4687
pubmed:author
pubmed:issnType
Electronic
pubmed:day
7
pubmed:volume
463
pubmed:owner
NLM
pubmed:authorsComplete
Y
pubmed:pagination
68-71
pubmed:year
2010
pubmed:articleTitle
Quantum simulation of the Dirac equation.
pubmed:affiliation
Institut für Quantenoptik und Quanteninformation, Osterreichische Akademie der Wissenschaften, Otto-Hittmair-Platz 1, A-6020 Innsbruck, Austria.
pubmed:publicationType
Journal Article, Research Support, Non-U.S. Gov't