Simulation of the Majorana equation in circuit QED
arXiv:1304.0510 · doi:10.1007/s11128-014-0777-z
Abstract
We propose a scheme to simulate the 1D Majorana equation with two Cooper pair boxes coupled to a 1D superconducting transmission line resonator, where strong coupling limit can be achieved. With proper chosen of systematic parameters, we are able to engineer different kinds of interaction, which is indispensable in simulating the Majorana equation in an enlarged real Hilbert space. Measurement of the conserved observable of pseudo-helicity via transmission spectrum of the cavity field can verify the simulated Majorana wave function. The measurement results are experimentally resolvable based on our estimation with conservative parameters.
first submitted on March 2012; v2 published version
References in corpus (17)
- Quantum Simulation
- Superconducting Circuits and Quantum Information
- Controllable scattering of photons inside a one-dimensional resonator waveguide
- Non-Abelian gauge potentials for ultra-cold atoms with degenerate dark states
- Dirac Equation and Quantum Relativistic Effects in a Single Trapped Ion
- Simulation and detection of Dirac fermions with cold atoms in an optical lattice
- Spin Hall effects for cold atoms in a light induced gauge potential
- Trapped ion quantum computation with transverse phonon modes
- The dynamical Casimir effect in superconducting microwave circuits
- Quantum super-cavity with atomic mirrors
- Quasi-relativistic behavior of cold atoms in light fields
- Klein tunneling and Dirac potentials in trapped ions
- Nonclassical microwave radiation from the dynamical Casimir effect
- Simple unconventional geometric scenario of one-way quantum computation with superconducting qubits inside a cavity
- Implementing topological quantum manipulation with superconducting circuits
- Physical implementation of topologically decoherence-protected superconducting qubits
- Simulation of anyonic fractional statistics of Kitaev's toric model in circuit QED