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arXiv · 1210.5060

The "Majoranon" and how to realize it in a tabletop experiment

Changsuk Noh·B. M. Rodríguez-Lara·Dimitris G. Angelakis
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Abstract

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 set ups.

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Changsuk Noh, B. M. Rodríguez-Lara, Dimitris G. Angelakis. 2012-10-18. The "Majoranon" and how to realize it in a tabletop experiment. https://doi.org/10.1103/physreva.87.040102

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