Geometric Phase and Non-Adiabatic Effects in an Electronic Harmonic Oscillator

Details Geometric Phase and Non-Adiabatic Effects in an Electronic Harmonic Oscillator Geometric Phase and Non-Adiabatic Effects in an Electronic Harmonic Oscillator

2011-09-06

arxiv.org/abs/1109.1157v2

Physics

Quantum Physics

Scientific paper

Steering a quantum harmonic oscillator state along cyclic trajectories leads to a path-dependent geometric phase. Here we describe an experiment observing this geometric phase in an electronic harmonic oscillator. We use a superconducting qubit as a non-linear probe of the phase, otherwise unobservable due to the linearity of the oscillator. Our results demonstrate that the geometric phase is, for a variety of cyclic trajectories, proportional to the area enclosed in the quadrature plane. At the transition to the non-adiabatic regime, we study corrections to the phase and dephasing of the qubit caused by qubit-resonator entanglement. The demonstrated controllability makes our system a versatile tool to study adiabatic and non-adiabatic geometric phases in open quantum systems and to investigate the potential of geometric gates for quantum information processing.

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