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arXiv:1404.0726 · Physical Review A

Mode invisibility as a quantum nondemolition measurement of coherent light

Marvellous Onuma-Kalu, Robert B. Mann, Eduardo Martín-Martínez

Published Sep 30, 2014• 6 citations
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Abstract

We exploit geometric properties of quantum states of light in optical cavities to carry out quantum nondemolition measurements. We generalize the ``mode-invisibility'' method to obtain information about the Wigner function of a squeezed coherent state in a nondestructive way. We also simplify the application of this nondemolition technique to measure single-photon and few-photon states.

DOI
10.1103/physreva.90.033847

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We exploit geometric properties of quantum states of light in optical cavities to carry out quantum nondemolition measurements. We generalize the ``mode-invisibility'' method to obtain information about the Wigner function of a squeezed coherent state in a nondestructive way. We also simplify the application of this nondemolition technique to measure single-photon and few-photon states.
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We investigate the dynamics for a two-level atomic system entangled with coherent states using the recently developed mode-invisibility technique. Using a quantum two-level probe, we demonstrate a way to nondestructively measure a number of properties between a qubit entangled with a generalized cat state, including the amplitude of the coherent state, the location and relative excitation of the qubit, and the von Neumann entropy. Our results indicate a connection between this last quantity and the interferometric phase shift of the probe, thereby suggesting a possible way to experimentally measure entanglement nondestructively.
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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.