Dirac particle dynamics of a superconducting circuit
arXiv:1710.10797 · doi:10.1103/PhysRevA.99.042308
Abstract
The core concept of quantum simulation is the mapping of an inaccessible quantum system onto a controllable one by identifying analogous dynamics. We map the Dirac equation of relativistic quantum mechanics in 3+1 dimensions onto a multi-level superconducting Josephson circuit. Resonant drives determine the particle mass and momentum and the quantum state represents the internal spinor dynamics, which are cast in the language of multi-level quantum optics. The degeneracy of the Dirac spectrum corresponds to a degeneracy of bright/dark states within the system and particle spin and helicity are employed to interpret the multi-level dynamics. We simulate the Schwinger mechanism of electron-positron pair production by introducing an analogous electric field as a doubly degenerate Landau-Zener problem. All proposed measurements can be performed well within typical decoherence times. This work opens a new avenue for experimental study of the Dirac equation and provides a tool for control of complex dynamics in multi-level systems.
References in corpus (10)
- Charge insensitive qubit design derived from the Cooper pair box
- Real-time dynamics of lattice gauge theories with a few-qubit quantum computer
- Suppressing Charge Noise Decoherence in Superconducting Charge Qubits
- Detecting arbitrary quantum errors via stabilizer measurements on a sublattice of the surface code
- Chiral groundstate currents of interacting photons in a synthetic magnetic field
- Dirac Equation and Quantum Relativistic Effects in a Single Trapped Ion
- Observation of Dirac Monopoles in a Synthetic Magnetic Field
- Schwinger pair production in space- and time-dependent electric fields: Relating the Wigner formalism to quantum kinetic theory
- The Schwinger mechanism and graphene
- Life after charge noise: recent results with transmon qubits