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Proposal for realization of the Majorana equation in a tabletop experiment

Noh Changsuk, Rodríguez-Lara B. M., Aggelakis Dimitrios

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URI: http://purl.tuc.gr/dl/dias/CD6FAE23-4C6D-4523-AA57-42C2905B57B9
Year 2013
Type of Item Peer-Reviewed Journal Publication
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Bibliographic Citation C. Noh, B. M. Rodríguez-Lara and D. G. Angelakis, "Proposal for realization of the Majorana equation in a tabletop experiment", Phys. Rev. A, vol. 87, no. 4, Apr. 2013. doi:http://dx.doi.org/10.1103/PhysRevA.87.040102 https://doi.org/http://dx.doi.org/10.1103/PhysRevA.87.040102
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Summary

We introduce the term Majoranon to describe particles that obey the Majorana equation, which are different from the Majorana fermions widely studied in various physical systems. A general procedure to simulate the corresponding Majoranon dynamics, based on a decomposition of the Majorana equation into two Dirac equations, is described in detail. It allows the simulation of the two-component chiral spinors, the building blocks of modern gauge theories, in the laboratory with current technology. Specifically, a Majoranon in one spatial dimension can be simulated with a single qubit plus a continuous degree of freedom, for example, a single trapped ion. Interestingly, the dynamics of a Majoranon deviates most clearly from that of a Dirac particle in the rest frame, in which the continuous variable is redundant, making a possible laboratory implementation feasible with existing setups.

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