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Physica Scripta

Measuring the quantum state of the electromagnetic field at finite temperature

Raúl Juárez-Amaro, H. M. Moya-Cessa

Published Nov 3, 2023• 0 citations
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Abstract

Abstract We show that it is possible to reconstruct the quantum state of light in a cavity subject to dissipation at finite temperature. By passing atoms through the cavity it is shown that the decay does not prevent the measurement of s-parametrized quasiprobability distributions. Because such distributions contain whole information about the initial quantized field, it is possible to recover its complete information.

DOI
10.1088/1402-4896/ad09a2

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Abstract We show that it is possible to reconstruct the quantum state of light in a cavity subject to dissipation at finite temperature. By passing atoms through the cavity it is shown that the decay does not prevent the measurement of s-parametrized quasiprobability distributions. Because such distributions contain whole information about the initial quantized field, it is possible to recover its complete information.
We present a scheme to reconstruct the quantum state of a field preparedinside a lossy cavity at finite temperature. Quantum coherences are normallydestroyed by the interaction with an environment, but we show that it ispossible to recover complete information about the initial state (beforeinteraction with its environment), making possible to reconstruct anysss-parametrized quasiprobability distribution, in particular, the Wignerfunction.
We present various schemes for measuring the quantum state of a single mode of the electromagnetic field. These involve measuring the photon statistics for the mode before and after an interaction with either one or two two-level atoms. The photon statistics conditioned on the final state of the atoms, for two choices of the initial set of atomic states, along with the initial photon statistics, may be used to calculate the complete quantum state in a simple manner. Alternatively, when one atom is used, two unconditioned sets of photon statistics, each after interaction with a single atom in different initial states, along with the initial photon statistics may be used to calculate the initial state in a simple manner. When the cavity is allowed to interact with just one atom, only pure cavity states which do not contain zeros in the photon distribution may be reconstructed. When two atoms are used we may reconstruct pure states which do not contain adjacent zeros in the photon distribution. Coherent states and number states are among those that may be measured with one-atom interaction, and squeezed states and ‚Schrödinger cats‘ are among those that may be measured with a two-atom interaction.