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Measuring sub-Planck structural analogues in chronocyclic phase space

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Title: Measuring sub-Planck structural analogues in chronocyclic phase space
Authors: Austin, Dane R.1, Witting, Tobias1, Wyatt, Adam S.1, Walmsley, Ian A. i.walmsley@physics.ox.ac.uk
Source: Optics Communications. Mar2010, Vol. 283 Issue 5, p855-859. 5p.
Subjects: Phase space, Distribution (Probability theory), Energy levels (Quantum mechanics), Fokker-Planck equation, Interferometry, Ultrashort laser pulses
Abstract: Abstract: Phase space quasi-probability distributions of certain quantum states reveal structure on a scale that is small compared to the Planck area. Using an analog between the wavefunction of a single photon and the electric field of a classical ultrashort optical pulse we show that spectral shearing interferometry enables measurement of such structure directly, thereby extending an idea of Krzysztof Wódkiewicz and others. In particular, we use multiple-shear spectral interferometry to fully characterize a pulse consisting of two sub-pulses which are temporally and spectrally disjoint, without a relative-phase ambiguity. This enables us to compute the Wigner distribution of the pulse. This spectrographic representation of the pulse field features fringes that are tilted with respect to both the time- and frequency axes, showing that in general the shortest sub-Planck distances may not be in the directions of the canonical (and easily experimentally accessible) directions. Further, independent of this orientation, evidence of the sub-Planck scale of the structure may be extracted directly from the measured signal. [Copyright &y& Elsevier]
Copyright of Optics Communications is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: <searchLink fieldCode="JN" term="%22Optics+Communications%22">Optics Communications</searchLink>. Mar2010, Vol. 283 Issue 5, p855-859. 5p.
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  Data: <searchLink fieldCode="DE" term="%22Phase+space%22">Phase space</searchLink><br /><searchLink fieldCode="DE" term="%22Distribution+%28Probability+theory%29%22">Distribution (Probability theory)</searchLink><br /><searchLink fieldCode="DE" term="%22Energy+levels+%28Quantum+mechanics%29%22">Energy levels (Quantum mechanics)</searchLink><br /><searchLink fieldCode="DE" term="%22Fokker-Planck+equation%22">Fokker-Planck equation</searchLink><br /><searchLink fieldCode="DE" term="%22Interferometry%22">Interferometry</searchLink><br /><searchLink fieldCode="DE" term="%22Ultrashort+laser+pulses%22">Ultrashort laser pulses</searchLink>
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  Data: Abstract: Phase space quasi-probability distributions of certain quantum states reveal structure on a scale that is small compared to the Planck area. Using an analog between the wavefunction of a single photon and the electric field of a classical ultrashort optical pulse we show that spectral shearing interferometry enables measurement of such structure directly, thereby extending an idea of Krzysztof Wódkiewicz and others. In particular, we use multiple-shear spectral interferometry to fully characterize a pulse consisting of two sub-pulses which are temporally and spectrally disjoint, without a relative-phase ambiguity. This enables us to compute the Wigner distribution of the pulse. This spectrographic representation of the pulse field features fringes that are tilted with respect to both the time- and frequency axes, showing that in general the shortest sub-Planck distances may not be in the directions of the canonical (and easily experimentally accessible) directions. Further, independent of this orientation, evidence of the sub-Planck scale of the structure may be extracted directly from the measured signal. [Copyright &y& Elsevier]
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  Data: <i>Copyright of Optics Communications is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1016/j.optcom.2009.10.060
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        Text: English
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        Type: general
      – SubjectFull: Distribution (Probability theory)
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      – SubjectFull: Energy levels (Quantum mechanics)
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      – SubjectFull: Fokker-Planck equation
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      – SubjectFull: Interferometry
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