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Nanosystems Physics Chemistry Mathematics

Quantum measurement of photon distribution statistics for intra-cavity EM field monitored by dumping atom-pointer

Alexander Trifanov, Ekaterina S. Trifanova

Published Aug 25, 2017• 0 citations
Publisher

Abstract

We describe and theoretically study a process of photon distribution statistics measurement for intra-cavity mode of EM field monitored by indirect photo-detection scheme.In particular, we investigate photon number distribution and Mandel's parameter (normalized dispersion) of the mode using statistics of atomic state detector clicks.In our model, a two-level atom-pointer which passes through the cavity interacts with the mode and environment, distorting the measured statistical properties of the mode.To account for this, phase distortion (decoherece) and population relaxation are introduced in the model.In this paper, we use the super-operators approach to intra-cavity mode evolution conditioned by atomic state detector clicks.

DOI
10.17586/2220-8054-2017-8-4-447-453

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We propose a quantum nondemolition measurement of the photon-number distribution for a two-mode cavity field. In the scheme two sequences of two-level atoms interact dispersively with the respective cavity modes and resonantly with two classical fields, and then are detected continually. The field finally reduces to a two-mode Fock state. The probability of collapsing to a given Fock state is determined by the initial photon-number distribution. The scheme can be easily generalized to a field with N modes.
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Abstract. An indirect quantum state measurement process is under investigation. Common evolution of detector’s microscopic part (pointer) and measured system (target) is considered to be nonunitary due to the interaction between pointer and environment. System of differential equations for superoperators (operations), which map initial target state to it’s conditional final state is obtained. Developed formalism is applied to the problem of cavity quantum mode photodetection to investigate basic information characteristics of this measurement process. ar X iv
We theoretically investigate the quantum statistical properties of a two-mode cavity light generated by a ∨ -type three-level atom interacting with nondegenerate subharmonic light and coupled to a two-mode squeezed vacuum reservoir. Using the master equation, we obtain steady-state expectation values for the atomic and cavity-mode operators. Based on these results, we analyze the global and local photon number variances, intensity fluctuation spectrum, joint photon number distribution, and photon count statistics. Our results reveal that squeezing parameter and subharmonic generation significantly enhance intensity fluctuations, as well as the mean and variance of photon counts, whereas atom-field coupling and cavity decay suppress them. The system exhibits super-Poissonian photon statistics, indicating that photon number fluctuations exceed the mean photon number. Furthermore, the photon count variance, which incorporates intracavity transmission and input noise, increases with detector efficiency. These results provide a comprehensive picture of photon statistics in atom-photon systems and guide the design of advanced quantum optical devices.