# Quantum properties of exponential states

## Abstract

The use of Renyi entropy as an uncertainty measure alternative to variance leads to the study of states with quantum fluctuations below the levels established by Gaussian states, which are the position-momentum minimum uncertainty states according to variance. We examine the quantum properties of states with exponential wave functions, which combine reduced fluctuations with practical feasibility.

- Authors:

- Departamento de Optica, Facultad de Ciencias Fisicas, Universidad Complutense, 28040 Madrid (Spain)

- Publication Date:

- OSTI Identifier:
- 20982467

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. A; Journal Volume: 75; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevA.75.052115; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ENTROPY; FLUCTUATIONS; GAUSSIAN PROCESSES; OPTICS; UNCERTAINTY PRINCIPLE; WAVE FUNCTIONS

### Citation Formats

```
Luis, Alfredo.
```*Quantum properties of exponential states*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVA.75.052115.

```
Luis, Alfredo.
```*Quantum properties of exponential states*. United States. doi:10.1103/PHYSREVA.75.052115.

```
Luis, Alfredo. Tue .
"Quantum properties of exponential states". United States.
doi:10.1103/PHYSREVA.75.052115.
```

```
@article{osti_20982467,
```

title = {Quantum properties of exponential states},

author = {Luis, Alfredo},

abstractNote = {The use of Renyi entropy as an uncertainty measure alternative to variance leads to the study of states with quantum fluctuations below the levels established by Gaussian states, which are the position-momentum minimum uncertainty states according to variance. We examine the quantum properties of states with exponential wave functions, which combine reduced fluctuations with practical feasibility.},

doi = {10.1103/PHYSREVA.75.052115},

journal = {Physical Review. A},

number = 5,

volume = 75,

place = {United States},

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

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

}

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