# Ladder operators and coherent states for the Jaynes-Cummings model in the rotating-wave approximation

## Abstract

Using algebraic techniques, we realize a systematic search of different types of ladder operators for the Jaynes-Cummings model in the rotating-wave approximation. The link between our results and previous studies on the diagonalization of the associated Hamiltonian is established. Using some of the ladder operators obtained before, examples are given on the possibility of constructing a variety of interesting coherent states for this Hamiltonian.

- Authors:

- Departamento de Fisica Teorica, Atomica y Optica, Universidad de Valladolid, 47071 Valladolid (Spain)

- Publication Date:

- OSTI Identifier:
- 20768687

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Mathematical Physics; Journal Volume: 46; Journal Issue: 12; Other Information: DOI: 10.1063/1.2137718; (c) 2005 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANNIHILATION OPERATORS; EIGENSTATES; HAMILTONIANS; LADDER APPROXIMATION; QUANTUM MECHANICS

### Citation Formats

```
Hussin, V., and Nieto, L.M..
```*Ladder operators and coherent states for the Jaynes-Cummings model in the rotating-wave approximation*. United States: N. p., 2005.
Web. doi:10.1063/1.2137718.

```
Hussin, V., & Nieto, L.M..
```*Ladder operators and coherent states for the Jaynes-Cummings model in the rotating-wave approximation*. United States. doi:10.1063/1.2137718.

```
Hussin, V., and Nieto, L.M.. Thu .
"Ladder operators and coherent states for the Jaynes-Cummings model in the rotating-wave approximation". United States.
doi:10.1063/1.2137718.
```

```
@article{osti_20768687,
```

title = {Ladder operators and coherent states for the Jaynes-Cummings model in the rotating-wave approximation},

author = {Hussin, V. and Nieto, L.M.},

abstractNote = {Using algebraic techniques, we realize a systematic search of different types of ladder operators for the Jaynes-Cummings model in the rotating-wave approximation. The link between our results and previous studies on the diagonalization of the associated Hamiltonian is established. Using some of the ladder operators obtained before, examples are given on the possibility of constructing a variety of interesting coherent states for this Hamiltonian.},

doi = {10.1063/1.2137718},

journal = {Journal of Mathematical Physics},

number = 12,

volume = 46,

place = {United States},

year = {Thu Dec 15 00:00:00 EST 2005},

month = {Thu Dec 15 00:00:00 EST 2005}

}

DOI: 10.1063/1.2137718

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