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Q: Fachverband Quantenoptik und Photonik
Q 44: Quantum information: Photons and nonclassical light II
Q 44.1: Vortrag
Donnerstag, 20. März 2014, 14:00–14:15, UDL HS3038
Optimal Control of the quantum state of a microwave cavity field — •Katharina Rojan1, Daniel Reich2, Christiane Koch2, and Giovanna Morigi1 — 1Universität des Saarlandes, D-66123 Saarbrücken — 2Universität Kassel, D-34132 Kassel
Quantum state preparation of the electromagnetic field is a prerequisite for quantum networks. In microwave cavity quantum electrodynamics the field can be manipulated by atomic beams which cross the resonator. We consider the question, how to prepare an arbitrary target state of the cavity by means of the interaction with a single atom, assuming that both cavity and atom are driven by external fields. We identify the time-dependent dynamics which is required in order to achieve a set of target states using Optimal Control Theory based on Krotov’s method [2]. We analyse the efficiency for preparation of Fock states |n⟩, Fock states superpositions (|0⟩+|n⟩)/√2 and Schroedinger cat states of the resonator field. We show that, for the parameters of the experiment at ENS in Paris [3], time scales of the order of tens of microseconds are needed in order to achieved infidelities below 10−4. The scaling of the time scale needed for preparing states (|0⟩+|n⟩)/√2 as a function of n is discussed as well as pulses which are robust against parameter fluctuations.
[1] C. Law and J.H. Eberly, Phys. Rev. Lett. 76, 1055 (1996) | |
[2] | D.M. Reich, M. Ndong, and C.P. Koch, J. Chem. Phys. 36, |
104103 (2012) | |
[3] S. Haroche and J.-M. Raimond, Exploring the Quantum | |
(Oxford Graduate Texts, New York, 2006) |