Berlin 2012 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 5: Transport: Quantum Coherence and Quantum Information Systems 1 (jointly with MA and HL)

TT 5.10: Talk

Monday, March 26, 2012, 12:00–12:15, BH 243

Bose-Hubbard dynamics in a chain of nonlinear superconducting transmission-line resonators — •Martin Leib and Michael J. Hartmann — TU München,Munich,Germany

Quantum mechanical many body physics offers many interesting phenomena and its simulation in well controlable experimental setups is therefore attracting increasing attention. We propose a superconducting circuit setup where microwave photons in an array of transmission line resonators interact due to an intrinsic nonlinearity of the resonators. We show that a transmission line resonator which is intersected by a Josephson junction can be approximatly described as a harmonic oscillator with a Kerr nonlinearity, making the whole array of resonators a quantum simulator for a Bose-Hubbard Hamiltonian. Strong nonlinearities and long coherence times can be easily achieved in superconducting circuits and in addition individual readout and control of resonators can be realized with current state of the art experimental techniques.