Field locked to Fock state by quantum feedback with single photon corrections
X. Zhou, I. Dotsenko, B. Peaudecerf, T. Rybarczyk, C. Sayrin, S., Gleyzes, J.M. Raimond, M. Brune, and S. Haroche

TL;DR
This paper demonstrates a quantum feedback method that prepares and stabilizes specific Fock states in a microwave cavity, using Rydberg atoms for non-demolition sensing and photon correction, enabling on-demand quantum state control.
Contribution
It introduces a novel quantum feedback technique that corrects single-photon jumps, allowing deterministic preparation and stabilization of Fock states up to n=7 in a superconducting cavity.
Findings
Successfully prepared Fock states up to n=7
Implemented real-time correction of quantum jumps
Achieved flexible generation of arbitrary Fock state sequences
Abstract
Fock states with photon numbers n up to 7 are prepared on demand in a microwave superconducting cavity by a quantum feedback procedure which reverses decoherence-induced quantum jumps. Circular Rydberg atoms are used as quantum non-demolition sensors or as single photon emitter/absorber actuators. The quantum nature of these actuators matches the correction of single-photon quantum jumps due to relaxation. The flexibility of this method is suited to the generation of arbitrary sequences of Fock states.
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