Alternative proposal for the generation of the displaced number state

Guilherme C. De Oliveira; Agnaldo R. De Almeida; Iara P. De Queirós; Arthur M. Moraes; Célia M.A. Dantas

doi:10.1016/j.physa.2004.11.066

Alternative proposal for the generation of the displaced number state

Guilherme C. De Oliveira, Agnaldo R. De Almeida, Iara P. De Queirós, Arthur M. Moraes, Célia M.A. Dantas^*

^*Corresponding author for this work

Universidade Federal de Goiás

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

Abstract

This work presents an alternative method for the generation of the displaced number state. The usual proposal found in the literature requires the generation of this state from a number state |n〉, which still have not been generated in laboratory and is difficult to obtain, because it demands properties of atom-field interactions in microwave cavities in processes with maximum reduction of quantum noise. Here we show that it is possible to generate the displaced number state from the coherent state, which is easily obtained, by means of the passage of this through a non-linear medium. The coefficients of the displaced number states obtained by our alternative definitions are calculated, showing that it is the same obtained by the usual definition in the literature.

Original language	English
Pages (from-to)	251-259
Number of pages	9
Journal	Physica A: Statistical Mechanics and its Applications
Volume	351
Issue number	2-4
DOIs	https://doi.org/10.1016/j.physa.2004.11.066
Publication status	Published - 15 Jun 2005
Externally published	Yes

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10.1016/j.physa.2004.11.066

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title = "Alternative proposal for the generation of the displaced number state",

abstract = "This work presents an alternative method for the generation of the displaced number state. The usual proposal found in the literature requires the generation of this state from a number state |n〉, which still have not been generated in laboratory and is difficult to obtain, because it demands properties of atom-field interactions in microwave cavities in processes with maximum reduction of quantum noise. Here we show that it is possible to generate the displaced number state from the coherent state, which is easily obtained, by means of the passage of this through a non-linear medium. The coefficients of the displaced number states obtained by our alternative definitions are calculated, showing that it is the same obtained by the usual definition in the literature.",

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note = "Funding Information: This work was financed by the National Council of Technological Scientific Development (CNPq) and PRONEX/MTC/FINEP of Brazil. ",

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AU - De Oliveira, Guilherme C.

AU - De Almeida, Agnaldo R.

AU - De Queirós, Iara P.

AU - Moraes, Arthur M.

AU - Dantas, Célia M.A.

N1 - Funding Information: This work was financed by the National Council of Technological Scientific Development (CNPq) and PRONEX/MTC/FINEP of Brazil.

PY - 2005/6/15

Y1 - 2005/6/15

N2 - This work presents an alternative method for the generation of the displaced number state. The usual proposal found in the literature requires the generation of this state from a number state |n〉, which still have not been generated in laboratory and is difficult to obtain, because it demands properties of atom-field interactions in microwave cavities in processes with maximum reduction of quantum noise. Here we show that it is possible to generate the displaced number state from the coherent state, which is easily obtained, by means of the passage of this through a non-linear medium. The coefficients of the displaced number states obtained by our alternative definitions are calculated, showing that it is the same obtained by the usual definition in the literature.

AB - This work presents an alternative method for the generation of the displaced number state. The usual proposal found in the literature requires the generation of this state from a number state |n〉, which still have not been generated in laboratory and is difficult to obtain, because it demands properties of atom-field interactions in microwave cavities in processes with maximum reduction of quantum noise. Here we show that it is possible to generate the displaced number state from the coherent state, which is easily obtained, by means of the passage of this through a non-linear medium. The coefficients of the displaced number states obtained by our alternative definitions are calculated, showing that it is the same obtained by the usual definition in the literature.

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Alternative proposal for the generation of the displaced number state

Abstract

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