Phase in Optics

Peřinová, V.; Lukš, A.; Peřina, Jan

doi:10.1142/9789812816900

Cited by 48 publications

(57 citation statements)

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“…The experimental results of Smithey et al (1993) have confirmed the predictions based on both the Pegg-Barnett formalism (1989) and on the radially integrated Wigner distribution, at least for squeezed vacuum states (Schleich et al 1989). For further reading and references see the topical issue of Physica Scripta, edited by Schleich and Barnett (1993), in which also some historical aspects are summarized by Nieto (1993), the review by Lynch (1995) and the book by Peřinová et al (1999) on the description of phase in optics. We also refer the reader to the review by Dodonov and Man'ko (2003a) in the book on non-classical states in quantum physics (Dodonov and Man'ko, 2003b).…”

Section: Introductionsupporting

confidence: 62%

Regular phase operator and SU(1,1) coherent states of the harmonic oscillator

Varró

2015

Phys. Scr.

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Abstract.A new solution is proposed to the long-standing problem of describing the quantum phase of a harmonic oscillator. In terms of an 'exponential phase operator', defined by a new 'polar decomposition' of the quantized amplitude of the oscillator, a regular phase operator is constructed in the Hilbert-Fock space as a strongly convergent power series. It is shown that the eigenstates of the new 'exponential phase operator' are SU(1,1) coherent states associated to the HolsteinPrimakoff realization. In terms of these eigenstates the diagonal representation of phase densities and a generalized spectral resolution of the regular phase operator are derived, which suit very well to our intuitive pictures on classical phase-related quantities.

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Section: Introductionsupporting

confidence: 62%

Regular phase operator and SU(1,1) coherent states of the harmonic oscillator

Varró

2015

Phys. Scr.

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“…The quantum description of phases [27] has a long history [28,29,30,31,32]. Pegg and Barnett [31], following Dirac [28], carried out a polar decomposition of the annihilation operator and defined a hermitian phase operator in a finite-dimensional Hilbert space.…”

Section: Introductionmentioning

confidence: 99%

Phase-diffusion pattern in quantum-nondemolition systems

Banerjee

Ghosh

2007

Phys. Rev. A

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We quantitatively analyze the dynamics of the quantum phase distribution associated with the reduced density matrix of a system, as the system evolves under the influence of its environment with an energy-preserving quantum nondemolition (QND) type of coupling. We take the system to be either an oscillator (harmonic or anharmonic) or a two-level atom (or equivalently, a spin-1/2 system), and model the environment as a bath of harmonic oscillators, initially in a general squeezed thermal state. The impact of the different environmental parameters is explicitly brought out as the system starts out in various initial states. The results are applicable to a variety of physical systems now studied experimentally with QND measurements.

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“…Investigations on informationally complete measurements have been extensively carried out in the framework of "phase-space observables": the monographs [9,10,11,12,13,14,15] review different aspects of these developments. Phase-space observables are very useful in various fields of quantum physics, including quantum communication and information theory.…”

Section: Introductionmentioning

confidence: 99%

Informationally complete measurements and group representation

D’Ariano¹,

Perinotti²,

Sacchi

2004

J. Opt. B: Quantum Semiclass. Opt.

106

105

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Abstract. Informationally complete measurements on a quantum system allow to estimate the expectation value of any arbitrary operator by just averaging functions of the experimental outcomes. We show that such kind of measurements can be achieved through positive-operator valued measures (POVM's) related to unitary irreducible representations of a group on the Hilbert space of the system. With the help of frame theory we provide a constructive way to evaluate the data-processing function for arbitrary operators.

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Phase in Optics

Cited by 48 publications

References 0 publications

Regular phase operator and SU(1,1) coherent states of the harmonic oscillator

Regular phase operator and SU(1,1) coherent states of the harmonic oscillator

Phase-diffusion pattern in quantum-nondemolition systems

Informationally complete measurements and group representation

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