Phase space tweezers for tailoring cavity fields by quantum Zeno dynamics
Jean-Michel Raimond (LKB - Lhomond), Cl\'ement Sayrin (LKB - Lhomond),, S. Gleyzes (LKB - Lhomond), Igor Dotsenko (LKB - Lhomond, CDF), Michel Brune, (LKB - Lhomond), Serge Haroche (LKB - Lhomond, CDF), Saverio Pascazio (INFN,, Sezione di Bari), Paolo Facchi (INFN

TL;DR
This paper proposes a method using Quantum Zeno Dynamics in cavity QED to precisely manipulate and tailor non-classical states of light in phase space, enabling targeted control of coherent field components.
Contribution
It introduces a novel approach to control cavity fields by implementing phase space tweezers via repeated unitary operations, advancing quantum state engineering techniques.
Findings
Feasible implementation with current cavity QED technology.
Ability to move coherent states in phase space without disturbing others.
Potential for creating tailored non-classical states.
Abstract
We discuss an implementation of Quantum Zeno Dynamics in a Cavity Quantum Electrodynamics experiment. By performing repeated unitary operations on atoms coupled to the field, we restrict the field evolution in chosen subspaces of the total Hilbert space. This procedure leads to promising methods for tailoring non-classical states. We propose to realize `tweezers' picking a coherent field at a point in phase space and moving it towards an arbitrary final position without affecting other non-overlapping coherent components. These effects could be observed with a state-of-the-art apparatus.
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