Pechal, M ; Berger, Stefan T ; Abdumalikov, Abdufarrukh A ; Fink, Johannes MIST Austria ; Mlynek, Jonas A ; Steffen, L. Kraig ; Wallraff, Andreas ; Filipp, Stefan
Steering a quantum harmonic oscillator state along cyclic trajectories leads to a path-dependent geometric phase. Here we describe its experimental observation in an electronic harmonic oscillator. We use a superconducting qubit as a nonlinear probe of the phase, which is otherwise unobservable due to the linearity of the oscillator. We show that the geometric phase is, for a variety of cyclic paths, proportional to the area enclosed in the quadrature plane. At the transition to the nonadiabatic regime, we study corrections to the phase and dephasing of the qubit caused by qubit-resonator entanglement. In particular, we identify parameters for which this dephasing mechanism is negligible even in the nonadiabatic regime. The demonstrated controllability makes our system a versatile tool to study geometric phases in open quantum systems and to investigate their potential for quantum information processing.
Physical Review Letters
This work is supported by the EU project GEOMDISS, the Austrian Science Foundation (S. F.), and the Swiss National Science Foundation (SNSF)
Pechal M, Berger S, Abdumalikov A, et al. Geometric phase and nonadiabatic effects in an electronic harmonic oscillator. Physical Review Letters. 2012;108(17). doi:10.1103/PhysRevLett.108.170401
Pechal, M., Berger, S., Abdumalikov, A., Fink, J. M., Mlynek, J., Steffen, L., … Filipp, S. (2012). Geometric phase and nonadiabatic effects in an electronic harmonic oscillator. Physical Review Letters, 108(17). https://doi.org/10.1103/PhysRevLett.108.170401
Pechal, M, Stefan Berger, Abdufarrukh Abdumalikov, Johannes M Fink, Jonas Mlynek, L. Steffen, Andreas Wallraff, and Stefan Filipp. “Geometric Phase and Nonadiabatic Effects in an Electronic Harmonic Oscillator.” Physical Review Letters 108, no. 17 (2012). https://doi.org/10.1103/PhysRevLett.108.170401.
M. Pechal et al., “Geometric phase and nonadiabatic effects in an electronic harmonic oscillator,” Physical Review Letters, vol. 108, no. 17, 2012.
Pechal M, Berger S, Abdumalikov A, Fink JM, Mlynek J, Steffen L, Wallraff A, Filipp S. 2012. Geometric phase and nonadiabatic effects in an electronic harmonic oscillator. Physical Review Letters. 108(17).
Pechal, M., et al. “Geometric Phase and Nonadiabatic Effects in an Electronic Harmonic Oscillator.” Physical Review Letters, vol. 108, no. 17, American Physical Society, 2012, doi:10.1103/PhysRevLett.108.170401.
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