Quantum simulations of relativistic quantum physics in circuit QED
Simón Pedernales, Julen Jon
Di Candia, Roberto
Solano Villanueva, Enrique Leónidas
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New Journal of Physics 15 : (2013) // Article ID 055008
We present a scheme for simulating relativistic quantum physics in circuit quantum electrodynamics. By using three classical microwave drives, we show that a superconducting qubit strongly coupled to a resonator field mode can be used to simulate the dynamics of the Dirac equation and Klein paradox in all regimes. Using the same setup we also propose the implementation of the Foldy-Wouthuysen canonical transformation, after which the time derivative of the position operator becomes a constant of the motion.