Manipulating Fock states of a harmonic oscillator while preserving its linearity

Kristinn Juliusson 1 Simon Bernon 1 Xin Zhou 1 Vivien Schmitt 1 Hélène Le Sueur 2 Patrice Bertet 1 Denis Vion 1 Mazyar Mirahimi 3, 4 Pierre Rouchon 4, 5 Daniel Esteve 1
1 QUANTRONICS - Quantronics Group
SPEC - UMR3680 - Service de physique de l'état condensé, IRAMIS - Institut Rayonnement Matière de Saclay
4 QUANTIC - QUANTum Information Circuits
ENS Paris - École normale supérieure - Paris, UPMC - Université Pierre et Marie Curie - Paris 6, MINES ParisTech - École nationale supérieure des mines de Paris, Inria de Paris
Abstract : We present a scheme for controlling the quantum state of a harmonic oscillator by coupling it to an anharmonic multilevel system (MLS) with first- to second-excited-state transition on resonance with the oscillator. In this scheme, which we call ef-resonant, the spurious oscillator Kerr nonlinearity inherited from the MLS is very small, while its Fock states can still be selectively addressed via an MLS transition at a frequency that depends on the number of photons. We implement this concept in a circuit-QED setup with a microwave three-dimensional cavity (the oscillator, with frequency 6.4 GHz and quality factor QO=2×10 6) embedding a frequency tunable transmon qubit (the MLS). We characterize the system spectroscopically and demonstrate selective addressing of Fock states and a Kerr nonlinearity below 350 Hz. At times much longer than the transmon coherence times, a nonlinear cavity response with driving power is also observed and explained.
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Physical Review A, American Physical Society, 2016, 94 (6), pp.063861. 〈10.1103/PhysRevA.94.063861〉
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Kristinn Juliusson, Simon Bernon, Xin Zhou, Vivien Schmitt, Hélène Le Sueur, et al.. Manipulating Fock states of a harmonic oscillator while preserving its linearity. Physical Review A, American Physical Society, 2016, 94 (6), pp.063861. 〈10.1103/PhysRevA.94.063861〉. 〈hal-01528084〉

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