# Spontaneous emission of the non-Wiener type

## Abstract

The spontaneous emission of a quantum particle and superradiation of an ensemble of identical quantum particles in a vacuum electromagnetic field with zero photon density are examined under the conditions of significant Stark particle and field interaction. New fundamental effects are established: suppression of spontaneous emission by the Stark interaction, an additional 'decay' shift in energy of the decaying level as a consequence of Stark interaction unrelated to the Lamb and Stark level shifts, excitation conservation phenomena in a sufficiently dense ensemble of identical particles and suppression of superradiaton in the decay of an ensemble of excited quantum particles of a certain density. The main equations describing the emission processes under conditions of significant Stark interaction are obtained in the effective Hamiltonian representation of quantum stochastic differential equations. It is proved that the Stark interaction between a single quantum particle and a broadband electromagnetic field is represented as a quantum Poisson process and the stochastic differential equations are of the non-Wiener (generalized Langevin) type. From the examined case of spontaneous emission of a quantum particle, the main rules are formulated for studying open systems in the effective Hamiltonian representation.

- Authors:

- Russian Research Centre Kurchatov Institute (Russian Federation)

- Publication Date:

- OSTI Identifier:
- 22028029

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Experimental and Theoretical Physics

- Additional Journal Information:
- Journal Volume: 113; Journal Issue: 3; Other Information: Copyright (c) 2011 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1063-7761

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 74 ATOMIC AND MOLECULAR PHYSICS; DIFFERENTIAL EQUATIONS; ELECTROMAGNETIC FIELDS; EXCITATION; HAMILTONIANS; LAMB SHIFT; PHOTON EMISSION; PHOTONS; STARK EFFECT; STOCHASTIC PROCESSES

### Citation Formats

```
Basharov, A. M., E-mail: basharov@gmail.com.
```*Spontaneous emission of the non-Wiener type*. United States: N. p., 2011.
Web. doi:10.1134/S1063776111080036.

```
Basharov, A. M., E-mail: basharov@gmail.com.
```*Spontaneous emission of the non-Wiener type*. United States. doi:10.1134/S1063776111080036.

```
Basharov, A. M., E-mail: basharov@gmail.com. Thu .
"Spontaneous emission of the non-Wiener type". United States. doi:10.1134/S1063776111080036.
```

```
@article{osti_22028029,
```

title = {Spontaneous emission of the non-Wiener type},

author = {Basharov, A. M., E-mail: basharov@gmail.com},

abstractNote = {The spontaneous emission of a quantum particle and superradiation of an ensemble of identical quantum particles in a vacuum electromagnetic field with zero photon density are examined under the conditions of significant Stark particle and field interaction. New fundamental effects are established: suppression of spontaneous emission by the Stark interaction, an additional 'decay' shift in energy of the decaying level as a consequence of Stark interaction unrelated to the Lamb and Stark level shifts, excitation conservation phenomena in a sufficiently dense ensemble of identical particles and suppression of superradiaton in the decay of an ensemble of excited quantum particles of a certain density. The main equations describing the emission processes under conditions of significant Stark interaction are obtained in the effective Hamiltonian representation of quantum stochastic differential equations. It is proved that the Stark interaction between a single quantum particle and a broadband electromagnetic field is represented as a quantum Poisson process and the stochastic differential equations are of the non-Wiener (generalized Langevin) type. From the examined case of spontaneous emission of a quantum particle, the main rules are formulated for studying open systems in the effective Hamiltonian representation.},

doi = {10.1134/S1063776111080036},

journal = {Journal of Experimental and Theoretical Physics},

issn = {1063-7761},

number = 3,

volume = 113,

place = {United States},

year = {2011},

month = {9}

}