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arXiv:quant-ph/0110146

Quantum-optical states in finite-dimensional Hilbert space. II. State generation

W. Leoński, Adam Miranowicz

Published Oct 25, 2001• 5 citations
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Abstract

In the second part of our review (for the first part see quant-ph/0108080), we discuss a physical model for generation of "truncated" coherent and squeezed states in finite-dimensional Hibert spaces.
DOI
10.48550/arxiv.quant-ph/0110146

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Two essentially different mathematical approaches to define coherent states of finite-dimensional Hilbert spaces are analyzed.Physical realizations of the s0-called quantum scissors to generate the finite-dimensional states via optical truncation are discussed including the linear-0ptical scheme of Pegg, Phillips and Barnett [Phys.Rev. Lett.81, 1604 (1998)] and nonlinear one of Leonski and Tanas [Phys.Rev. A49, R20 (1994)].Distinct properties of the generated states are studied by applying adiscrete Wigner function.