dorsal/arxiv
View SchemaPure State Correlations: Chords in Phase Space
| Authors | Alfredo M. Ozorio de Almeida, Raul O. Vallejos, Marcos Saraceno |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0410129 |
| URL | https://arxiv.org/abs/quant-ph/0410129 |
| DOI | 10.1088/0305-4470/38/7/005 |
Abstract
The intensity of the overlap of a quantum state with all its phase space translations defines its quantum correlations. In the case of pure states, these are invariant with respect to Fourier transformation. The overlaps themselves are here studied in terms of the Wigner function and its Fourier transform, i.e., the characteristic function or chord function. Unlike the Wigner function, the chord function need not be real, but eventual symmetry with respect to reflections about a phase space point may relate these representations. Semiclassical approximations for the "classical-like" region of small chords and for large chords are derived. These lead to an interpretation of the Fourier invariance in terms of conjugate chords. The interrelation of large and small (sub-Planck) phase space structures previously noted in the literature are thus reinterpreted.
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"abstract": "The intensity of the overlap of a quantum state with all its phase space\ntranslations defines its quantum correlations. In the case of pure states,\nthese are invariant with respect to Fourier transformation. The overlaps\nthemselves are here studied in terms of the Wigner function and its Fourier\ntransform, i.e., the characteristic function or chord function. Unlike the\nWigner function, the chord function need not be real, but eventual symmetry\nwith respect to reflections about a phase space point may relate these\nrepresentations. Semiclassical approximations for the \"classical-like\" region\nof small chords and for large chords are derived. These lead to an\ninterpretation of the Fourier invariance in terms of conjugate chords. The\ninterrelation of large and small (sub-Planck) phase space structures previously\nnoted in the literature are thus reinterpreted.",
"arxiv_id": "quant-ph/0410129",
"authors": [
"Alfredo M. Ozorio de Almeida",
"Raul O. Vallejos",
"Marcos Saraceno"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/38/7/005",
"title": "Pure State Correlations: Chords in Phase Space",
"url": "https://arxiv.org/abs/quant-ph/0410129"
},
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