# Measuring statistical characteristics of a quantized mode in various photodetection regimes

## Abstract

We develop a theory of the discrete photodetection model where individual unexcited atoms from the atomic beam passing through a cavity are used as pointers. Atomic energy state selective detectors (ionization chambers) measure the escape statistics of ground-or excited-state atoms. Mandelstam's method of successive indirect quantum measurements underlies the theory being developed. In contrast to the available works, the suggested approach takes into account the atomic beam statistics, the operation nonideality (quantum efficiencies) of ionization chambers, the detector recovery time, the back action of the probe on the quantized mode, and the relaxation process in the time interval when the cavity is empty (without atoms). We derive formulas that relate the a posteriori probabilities of photodetector clicks to the elements of the main diagonal of the initial density matrix for the cavity mode. Our numerical simulations confirm that the inverse problem of reconstructing the initial photon number distribution in a cavity can be solved using the statistics of detector clicks measured during the transient process.

- Authors:

- St. Petersburg State University of Information Technologies, Mechanics, and Optics (Russian Federation), E-mail: gpmirosh@yahoo.com

- Publication Date:

- OSTI Identifier:
- 21072481

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Experimental and Theoretical Physics; Journal Volume: 104; Journal Issue: 5; Other Information: DOI: 10.1134/S1063776107050068; Copyright (c) 2007 Nauka/Interperiodica; Article Copyright (c) 2007 Pleiades Publishing, Inc; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ATOMIC BEAMS; DENSITY MATRIX; EXCITED STATES; IONIZATION CHAMBERS; NUCLEAR ENERGY; PHOTONS; PROBABILITY; QUANTUM EFFICIENCY; RELAXATION; SIMULATION; STATISTICS

### Citation Formats

```
Miroshnichenko, G. P.
```*Measuring statistical characteristics of a quantized mode in various photodetection regimes*. United States: N. p., 2007.
Web. doi:10.1134/S1063776107050068.

```
Miroshnichenko, G. P.
```*Measuring statistical characteristics of a quantized mode in various photodetection regimes*. United States. doi:10.1134/S1063776107050068.

```
Miroshnichenko, G. P. Tue .
"Measuring statistical characteristics of a quantized mode in various photodetection regimes". United States.
doi:10.1134/S1063776107050068.
```

```
@article{osti_21072481,
```

title = {Measuring statistical characteristics of a quantized mode in various photodetection regimes},

author = {Miroshnichenko, G. P.},

abstractNote = {We develop a theory of the discrete photodetection model where individual unexcited atoms from the atomic beam passing through a cavity are used as pointers. Atomic energy state selective detectors (ionization chambers) measure the escape statistics of ground-or excited-state atoms. Mandelstam's method of successive indirect quantum measurements underlies the theory being developed. In contrast to the available works, the suggested approach takes into account the atomic beam statistics, the operation nonideality (quantum efficiencies) of ionization chambers, the detector recovery time, the back action of the probe on the quantized mode, and the relaxation process in the time interval when the cavity is empty (without atoms). We derive formulas that relate the a posteriori probabilities of photodetector clicks to the elements of the main diagonal of the initial density matrix for the cavity mode. Our numerical simulations confirm that the inverse problem of reconstructing the initial photon number distribution in a cavity can be solved using the statistics of detector clicks measured during the transient process.},

doi = {10.1134/S1063776107050068},

journal = {Journal of Experimental and Theoretical Physics},

number = 5,

volume = 104,

place = {United States},

year = {Tue May 15 00:00:00 EDT 2007},

month = {Tue May 15 00:00:00 EDT 2007}

}