# Bloch equation and atom-field entanglement scenario in three-level systems

## Abstract

We study the exact solution of the lambda, vee and cascade type of three-level system with distinct Hamiltonian for each configuration expressed in the SU(3) basis. The semiclassical models are solved by solving respective Bloch equation and the existence of distinct non-linear constants are discussed which are different for different configuration. Apart from proposing a qutrit wave function, the atom-field entanglement is studied for the quantized three-level systems using the Phoenix-Knight formalism and corresponding population inversion are compared.

- Authors:

- Department of Physics, Guru Charan College, Silchar 788004 (India)
- S N Bose National Centre for Basic Sciences, Sector III, J D Block, Sector III, Salt Lake, Kolkata 700098 (India)

- Publication Date:

- OSTI Identifier:
- 21611643

- Resource Type:
- Journal Article

- Journal Name:
- AIP Conference Proceedings

- Additional Journal Information:
- Journal Volume: 1384; Journal Issue: 1; Conference: S. N. Bose National Centre for Basic Sciences silver jubilee symposium: 75 Years of quantum entanglement: foundations and information theoretic applications, Kolkata (India), 6-10 Jan 2011; Other Information: DOI: 10.1063/1.3635863; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0094-243X

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ATOMS; BLOCH EQUATIONS; CLASSICAL MECHANICS; ENERGY LEVELS; EXACT SOLUTIONS; HAMILTONIANS; NONLINEAR PROBLEMS; POPULATION INVERSION; QUANTUM COMPUTERS; QUANTUM ENTANGLEMENT; QUANTUM MECHANICS; SEMICLASSICAL APPROXIMATION; WAVE EQUATIONS; WAVE FUNCTIONS; APPROXIMATIONS; CALCULATION METHODS; COMPUTERS; DIFFERENTIAL EQUATIONS; EQUATIONS; FUNCTIONS; MATHEMATICAL OPERATORS; MATHEMATICAL SOLUTIONS; MECHANICS; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM OPERATORS

### Citation Formats

```
Sen, Surajit, Nath, Mihir Ranjan, Dey, Tushar Kanti, and Gangopadhyay, Gautam.
```*Bloch equation and atom-field entanglement scenario in three-level systems*. United States: N. p., 2011.
Web. doi:10.1063/1.3635863.

```
Sen, Surajit, Nath, Mihir Ranjan, Dey, Tushar Kanti, & Gangopadhyay, Gautam.
```*Bloch equation and atom-field entanglement scenario in three-level systems*. United States. doi:10.1063/1.3635863.

```
Sen, Surajit, Nath, Mihir Ranjan, Dey, Tushar Kanti, and Gangopadhyay, Gautam. Fri .
"Bloch equation and atom-field entanglement scenario in three-level systems". United States. doi:10.1063/1.3635863.
```

```
@article{osti_21611643,
```

title = {Bloch equation and atom-field entanglement scenario in three-level systems},

author = {Sen, Surajit and Nath, Mihir Ranjan and Dey, Tushar Kanti and Gangopadhyay, Gautam},

abstractNote = {We study the exact solution of the lambda, vee and cascade type of three-level system with distinct Hamiltonian for each configuration expressed in the SU(3) basis. The semiclassical models are solved by solving respective Bloch equation and the existence of distinct non-linear constants are discussed which are different for different configuration. Apart from proposing a qutrit wave function, the atom-field entanglement is studied for the quantized three-level systems using the Phoenix-Knight formalism and corresponding population inversion are compared.},

doi = {10.1063/1.3635863},

journal = {AIP Conference Proceedings},

issn = {0094-243X},

number = 1,

volume = 1384,

place = {United States},

year = {2011},

month = {9}

}

DOI: 10.1063/1.3635863

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