Bayesian feedback control of a two-atom spin-state in an atom-cavity system

Abstract

We experimentally demonstrate real-time feedback control of the joint spin-state of two neutral Caesium atoms inside a high finesse optical cavity. The quantum states are discriminated by their different cavity transmission levels. A Bayesian update formalism is used to estimate state occupation probabilities as well as transition rates. We stabilize the balanced two-atom mixed state, which is deterministically inaccessible, via feedback control and find very good agreement with Monte-Carlo simulations. On average, the feedback loops achieves near optimal conditions by steering the system to the target state marginally exceeding the time to retrieve information about its state.

4 pages, 4 figures

References in corpus (3)

• Feedback Cooling of a Single Neutral Atom
• Controlled insertion and retrieval of atoms coupled to a high-finesse optical resonator
• Quantum jumps and spin dynamics of interacting atoms in a strongly coupled atom-cavity system

Cited by in corpus (6)

• Feedback control of a solid-state qubit using high-fidelity projective measurement
• Steady-state entanglement of spatially separated qubits via quantum bath engineering
• Entanglement dynamics for qubits dissipating into a common environment
• Multi-parameter estimation along quantum trajectories with Sequential Monte Carlo methods
• Measurement-induced chaos and quantum state discrimination in an iterated Tavis-Cummings scheme
• Limits of optimal control yields achievable with quantum controllers