QUANTUM STATISTICS OF A 2-MODE SU(1,1) INTERFEROMETER

被引：37

作者：

LEONHARDT, U

机构：

[1] Arbeitsgruppe Nichtklassische Strahlung der Max-Planck-Gesellschaft, Humboldt Universität zu Berlin, 12484 Berlin

来源：

PHYSICAL REVIEW A | 1994年 / 49卷 / 02期

关键词：

D O I：

10.1103/PhysRevA.49.1231

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

A comprehensive formalism for a two-mode SU(1,1) interferometer (a nondegenerate parametric amplifier, a degenerate four-wave mixer, or a phase-conjugating mirror) is presented. The device changes the quantum state of the two incident modes by an SU(1,1) transformation. Apart from phase shiftings, the quadrature wave functions are Lorentz transformed. A transformation formula in the Fock space of the two modes is derived. Hybrids of s and -s quasiprobability distributions are changed by the inverse-mode transformation. It is related to quantum noise in phase conjugation. Linear amplification caused by Gaussian reservoirs corresponds exactly to a heuristic nondegenerate-parametric-amplifier model. It allows a simple geometrical explanation for the sensitivity of squeezing or quantum superposition with respect to phase-sensitive amplification.

引用

页码：1231 / 1242

页数：12

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