Merging diabolical points of a superconducting circuit
arXiv:1111.3671 · doi:10.5488/CMP.16.33801
Abstract
We present the first theoretical study of the merging of diabolical points in the context of superconducting circuits. We begin by studying an analytically solvable four-level model which may serve as theoretical pattern for such a phenomenon. Then, we apply it to a circuit named Cooper pairs pump, whose diabolical points are already known.
11 pages, 6 figures
References in corpus (19)
- A tight-binding approach to uniaxial strain in graphene
- Superconducting Circuits and Quantum Information
- Observation of Berry's Phase in a Solid State Qubit
- Merging of Dirac points in a two-dimensional crystal
- A new magnetic field dependence of Landau levels on a graphene like structure
- Experimental determination of the Berry phase in a superconducting charge pump
- Designing Dirac points in two-dimensional lattices
- Measurement scheme of the Berry phase in superconducting circuits
- A semi-Dirac point in the Hofstadter spectrum
- Nanoampere pumping of Cooper pairs
- Connecting Berry's phase and the pumped charge in a Cooper pair pump
- Non-abelian superconducting pumps
- The Cooper Pair Pump as a Quantized Current Source
- Topological quantization by controlled paths: application to Cooper pairs pumps
- Quantum holonomies with Josephson-junction devices
- Suppression of the critical current of a balanced SQUID
- The Geometry of (non) abelian adiabatic pumping
- Adiabatic Process and Chern Numbers
- Tunnelling-charging Hamiltonian of a Cooper pair pump at large E_J\lesssim E_C: Modified Hamiltonians and renormalisability