# Quantum theory of laser cooling: Statistical description of the process dynamics

## Abstract

The setting time of the stationary distribution over translational degrees of freedom of two-level atoms in the field of a one-dimensional standing light wave is studied. The dependences of this time on the problem parameters such as the light wave intensity, frequency detuning, and atom mass are obtained. Calculations are performed on the basis of the quantum-mechanical equation for the atomic density matrix taking completely into account the recoil and spatial localization effects in an arbitrarily intense light field.

- Authors:

- Russian Academy of Sciences, Institute of Laser Physics, Siberian Branch (Russian Federation)

- Publication Date:

- OSTI Identifier:
- 22617236

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Experimental and Theoretical Physics; Journal Volume: 123; Journal Issue: 1; Other Information: Copyright (c) 2016 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; ATOMS; COOLING; DEGREES OF FREEDOM; DENSITY MATRIX; DISTRIBUTION; EQUATIONS; LASER RADIATION; MASS; ONE-DIMENSIONAL CALCULATIONS; QUANTUM MECHANICS; RECOILS; VISIBLE RADIATION

### Citation Formats

```
Il’enkov, R. Ya., E-mail: ilenkov.roman@gmail.com, Prudnikov, O. N., Taichenachev, A. V., and Yudin, V. I., E-mail: viyudin@mail.ru.
```*Quantum theory of laser cooling: Statistical description of the process dynamics*. United States: N. p., 2016.
Web. doi:10.1134/S106377611605006X.

```
Il’enkov, R. Ya., E-mail: ilenkov.roman@gmail.com, Prudnikov, O. N., Taichenachev, A. V., & Yudin, V. I., E-mail: viyudin@mail.ru.
```*Quantum theory of laser cooling: Statistical description of the process dynamics*. United States. doi:10.1134/S106377611605006X.

```
Il’enkov, R. Ya., E-mail: ilenkov.roman@gmail.com, Prudnikov, O. N., Taichenachev, A. V., and Yudin, V. I., E-mail: viyudin@mail.ru. Fri .
"Quantum theory of laser cooling: Statistical description of the process dynamics". United States.
doi:10.1134/S106377611605006X.
```

```
@article{osti_22617236,
```

title = {Quantum theory of laser cooling: Statistical description of the process dynamics},

author = {Il’enkov, R. Ya., E-mail: ilenkov.roman@gmail.com and Prudnikov, O. N. and Taichenachev, A. V. and Yudin, V. I., E-mail: viyudin@mail.ru},

abstractNote = {The setting time of the stationary distribution over translational degrees of freedom of two-level atoms in the field of a one-dimensional standing light wave is studied. The dependences of this time on the problem parameters such as the light wave intensity, frequency detuning, and atom mass are obtained. Calculations are performed on the basis of the quantum-mechanical equation for the atomic density matrix taking completely into account the recoil and spatial localization effects in an arbitrarily intense light field.},

doi = {10.1134/S106377611605006X},

journal = {Journal of Experimental and Theoretical Physics},

number = 1,

volume = 123,

place = {United States},

year = {Fri Jul 15 00:00:00 EDT 2016},

month = {Fri Jul 15 00:00:00 EDT 2016}

}

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