Regensburg 2013 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 37: Quantum Coherence, Quantum Information Systems 1

TT 37.5: Talk

Wednesday, March 13, 2013, 10:30–10:45, H19

Josephson Junction Intersected Transmission Line Resonators — •Martin Leib and Michael J. Hartmann — TU München, 85748 Garching, Germany

Circuit quantum electrodynamics has gone a long way since the first successful demonstration of the strong coupling regime in 2004 by Andreas Wallraff and coworkers. Coherence times grew dramatically, single qubit gates are routine by now and entangling operations have been shown. The logical next step is to scale up the architectures from a few to many building blocks. The simulation of interacting many-body Hamiltonians is a promising direction of research to pursue with these setups. Every nonlinearity in classical field theory can be interpreted after quantizing the theory as an interaction between the elementary bosonic excitations of the systems which in the case of circuit QED are microwave photons. Therefore we propose as a basic building block for a interacting many body Hamiltonian simulator a transmission line resonator that is intersected by Josephson junctions. We calculate the eigenfrequencies of the transmission line resonator with a transfer matrix technique and quantize the classical theory.