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Superradiant QPT with a Single Trapped Ion

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Equilibrium and Nonequilibrium Aspects of Phase Transitions in Quantum Physics

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Abstract

In Chaps. 3 and 4 we have examined equilibrium and nonequilibrium features of the quantum phase transition (QPT) exhibited by the quantum Rabi model (QRM). As we have emphasized, this finite-component system QPT differs from conventional phase transitions in many-body systems as it appears without scaling up system constituents. The present chapter exploits this fact, proposing a single trapped-ion experiment in which universal features of a superradiant QPT can be examined. This chapter completes, and also complements, the previous Chaps. 3 and 4 involving the QRM.

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Notes

  1. 1.

    Note that a time-independent Rabi frequency could have been used instead. For that, one would have to tune the frequency \(\omega _{D2}=\omega _I+\Omega _{D1}\) in order to provide the required resonant terms with \(\Omega _{D1}\sigma _x/2\).

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  1. Centre for Theoretical Atomic, Molecular and Optical Physics, Queen’s University Belfast, Belfast, UK

    Ricardo Puebla

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Puebla, R. (2018). Superradiant QPT with a Single Trapped Ion. In: Equilibrium and Nonequilibrium Aspects of Phase Transitions in Quantum Physics. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-030-00653-2_5

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