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All-optical trapping and QND measurement in a cavity

Simon Bernon

Published Jun 1, 2010• 0 citations
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A quantum-nondemolition (QND) measurement of the vibrational energy of a trapped ion may be made by placing it at a node of a cavity optical standing wave. In certain parameter regimes there is a backaction evading coupling between the ion's vibrational energy eigenstates and the coherent states of the cavity field. This facilitates a QND measurement of the ion trap state via a homodyne measurement on the cavity output field. This scheme has the advantage that the required measurements minimally disturb the ion.
We propose a scheme for realizing a quantum nondemolition (QND) measurement of a small number of optical photons. Our scheme has two stages: First, we couple a propagating light pulse with fixed photon number to a trapped cold atomic gas within a cavity, such that the pulse is stored within a collective polariton mode. Second, a small-photon-number measurement is engineered by monitoring the cavity-transmission spectrum. Since the polariton mode profile is preserved during the process of detecting the spectrum, photon-number QND measurements could be achieved by retrieving the light pulse from the polariton mode. We also discuss a method which uses QND measurements to generate small-photon Fock states.