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

2016/07/13 by Ricardo Puebla, Myung-Joong Hwang, J. Casanova +2 · 1 citation
Computer Science · Physics and Astronomy · #Atomic physics #Cold Atom Physics and Bose-Einstein Condensates #Dynamics (music) #Ion #Phase (matter) #Phase transition #Physics #Quantum #Quantum Information and Cryptography #Quantum computer #Quantum many-body systems #Quantum mechanics #Quantum optics #Quantum phase transition #Quantum simulator #Trapped ion quantum computer #quant-ph

paper · pdf · doi:10.1103/physrevlett.118.073001

published as Phys. Rev. Lett. 118, 073001 (2017) · Main text: 5 pages, 3 figures; supplemental material: 6 pages, 4 figures

arxiv created 2016/07/13 · openalex publication_date 2017/02/17 · arxiv updated 2017/02/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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.

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