Probing the Dynamics of a Superradiant Quantum Phase Transition with a Single Trapped Ion.

Published

Journal Article

We demonstrate that the quantum phase transition (QPT) of the Rabi model and critical dynamics near the QPT can be probed in the setup of a single trapped ion. We first demonstrate that there exists equilibrium and nonequilibrium scaling functions of the Rabi model by finding a proper rescaling of the system parameters and observables, and show that those scaling functions are representative of the universality class to which the Rabi model belongs. We then propose a scheme that can faithfully realize the Rabi model in the limit of a large ratio of the effective atomic transition frequency to the oscillator frequency using a single trapped ion and, therefore, the QPT. It is demonstrated that the predicted universal functions can indeed be observed based on our scheme. Finally, the effects of realistic noise sources on probing the universal functions in experiments are examined.

Full Text

Duke Authors

Cited Authors

  • Puebla, R; Hwang, M-J; Casanova, J; Plenio, MB

Published Date

  • February 17, 2017

Published In

Volume / Issue

  • 118 / 7

Start / End Page

  • 073001 -

PubMed ID

  • 28256873

Pubmed Central ID

  • 28256873

Electronic International Standard Serial Number (EISSN)

  • 1079-7114

International Standard Serial Number (ISSN)

  • 0031-9007

Digital Object Identifier (DOI)

  • 10.1103/physrevlett.118.073001

Language

  • eng