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Il Nuovo Cimento B (1971-1996)

, Volume 102, Issue 1, pp 33–49 | Cite as

Coherent and squeezed states in quantum optics

  • A. Jannussis
  • V. Bartzis
Article

Summary

In the present paper we produce several interesting properties of the Yuen operators and demonstrate that the squeeze operator is proportional to the well-known multiplication operator. By the help of the multiplication operator we obtain exactly the squeezed states in theq-representation which are the minimal uncertainty states. Finally we show that the exact coherent states of the harmonic oscillator with time-dependent mass and frequency are equivalent with the squeezed states.

Keywords

PACS 42.50.Dv Nonclassical photon states (including antibunched squeezed, sub-Poissonian) 

Когерентные и сжатые состояния в квантовой оптике

Резюме

В этой статье мы описываем некоторые интересные свойства операторов юена и показываем, что оператор сжатия пропорционален хорошо известному оператору мультипликации. С помощью оператора мультипликации мы получаем точно сжатые состояния вq-представлении, которые представляют состояния с минимальной неопределенностью. В заключение, мы показываем, что точные когерентные состояния гармонического осциллятора с зависящими от времени массой и частотой являются эквивалентными сжатым состояниям.

Riassunto

In questo lavoro si producono parecchie interessanti proprietà degli operatori di Yuen e si dimostra che l’operatore di schiacciamento è proporzionale al ben noto operatore di moltiplicazione. Con l’aiuto dell’operatore di moltiplicazione si ottengono esattamente gli stati di schiacciamento nella rappresentazioneq che sono gli stati minimi di incertezza. Infine si mostra che gli stati coerenti esatti dell’oscillatore armonico con la massa e la frequenza dipendenti dal tempo sono equivalenti agli stati di schiacciamento.

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Copyright information

© Società Italiana di Fisica 1988

Authors and Affiliations

  • A. Jannussis
    • 1
    • 2
  • V. Bartzis
    • 1
  1. 1.Department of PhysicsUniversity of PatrasPatrasGreece
  2. 2.Institute for Basic ResearchCambridge

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