J. S. Pedernales

Digital Quantum Rabi and Dicke Models in Superconducting Circuits

  1. A. Mezzacapo,
  2. U. Las Heras,
  3. J. S. Pedernales,
  4. L. DiCarlo,
  5. E. Solano,
  6. and L. Lamata
We propose the analog-digital quantum simulation of the quantum Rabi and Dicke models using circuit quantum electrodynamics (QED). We find that all physical regimes, in particular those
which are impossible to realize in typical cavity QED setups, can be simulated via unitary decomposition into digital steps. Furthermore, we show the emergence of the Dirac equation dynamics from the quantum Rabi model when the mode frequency vanishes. Finally, we analyze the feasibility of this proposal under realistic superconducting circuit scenarios.
arxiv pdf

Quantum Simulations of Relativistic Quantum Physics in Circuit QED

  1. J. S. Pedernales,
  2. R. Di Candia,
  3. D. Ballester,
  4. and E. Solano
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.
arxiv pdf