dorsal/arxiv
View SchemaDetection statistics in the micromaser
| Authors | David B. Johnson, W. C. Shieve |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0008082 |
| URL | https://arxiv.org/abs/quant-ph/0008082 |
| DOI | 10.1103/PhysRevA.63.033808 |
Abstract
We present a general method for the derivation of various statistical quantities describing the detection of a beam of atoms emerging from a micromaser. The user of non-normalized conditioned density operators and a linear master equation for the dynamics between detection events is discussed as are the counting statistics, sequence statistics, and waiting time statistics. In particular, we derive expressions for the mean number of successive detections of atoms in one of any two orthogonal states of the two-level atom. We also derive expressions for the mean waiting times between detections. We show that the mean waiting times between de- tections of atoms in like states are equivalent to the mean waiting times calculated from the uncorrelated steady state detection rates, though like atoms are indeed correlated. The mean waiting times between detections of atoms in unlike states exhibit correlations. We evaluate the expressions for various detector efficiencies using numerical integration, reporting re- sults for the standard micromaser arrangement in which the cavity is pumped by excited atoms and the excitation levels of the emerging atoms are measured. In addition, the atomic inversion and the Fano-Mandel function for the detection of de-excited atoms is calculated for compari- son to the recent experimental results of Weidinger et al. [1], which reports the first observation of trapping states.
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"abstract": "We present a general method for the derivation of various statistical\nquantities describing the detection of a beam of atoms emerging from a\nmicromaser. The user of non-normalized conditioned density operators and a\nlinear master equation for the dynamics between detection events is discussed\nas are the counting statistics, sequence statistics, and waiting time\nstatistics. In particular, we derive expressions for the mean number of\nsuccessive detections of atoms in one of any two orthogonal states of the\ntwo-level atom. We also derive expressions for the mean waiting times between\ndetections. We show that the mean waiting times between de- tections of atoms\nin like states are equivalent to the mean waiting times calculated from the\nuncorrelated steady state detection rates, though like atoms are indeed\ncorrelated. The mean waiting times between detections of atoms in unlike states\nexhibit correlations. We evaluate the expressions for various detector\nefficiencies using numerical integration, reporting re- sults for the standard\nmicromaser arrangement in which the cavity is pumped by excited atoms and the\nexcitation levels of the emerging atoms are measured. In addition, the atomic\ninversion and the Fano-Mandel function for the detection of de-excited atoms is\ncalculated for compari- son to the recent experimental results of Weidinger et\nal. [1], which reports the first observation of trapping states.",
"arxiv_id": "quant-ph/0008082",
"authors": [
"David B. Johnson",
"W. C. Shieve"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.63.033808",
"title": "Detection statistics in the micromaser",
"url": "https://arxiv.org/abs/quant-ph/0008082"
},
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