Theory and experimental verification of Kapitza–Dirac–Talbot–Lau interferometry

Hornberger, Klaus; Gerlich, Stefan; Ulbricht, Hendrik; Hackermüller, Lucia; Nimmrichter, Stefan; Goldt, Ilya V.; Boltalina, Olga V.; Arndt, Markus

doi:10.1088/1367-2630/11/4/043032

Cited by 86 publications

(161 citation statements)

References 47 publications

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“…1(a)). This difference was not observed in previous experiments [26,32] because it only shows up in interference patterns recorded with a sufficiently narrow velocity distribution. Recent experiments with improved velocity selection [9] reveal the model discrepancy and provide evidence for the present quantum model.…”

Section: A Talbot-lau Near-field Interferometercontrasting

confidence: 68%

“…Otherwise, the expression (20) applies. We note that this expression resembles an earlier model [26], where photon absorption was implemented as a classical random walk in phase space, disregarding the coherent recoil transfer in a standing wave. Surprisingly, the difference merely amounts to a sign flip ζ coh → −ζ coh in (20), which is equivalent to replacing B j (ξ) with B j (−ξ) = B −j (ξ), as follows from the identity…”

Section: Phase-space Descriptionmentioning

confidence: 70%

“…Note that the so defined conditional Wigner function is normalized to the absorption probability dxdp w(x, p; ℓ) = P ℓ (ρ). The Fourier components B j (s/d; ℓ) generalize the Talbot coefficients, determining the interference pattern in matter-wave interferometry [26]. For ℓ = 0 the coefficients are given by the expressions found for photodepletion gratings [40],…”

Section: Phase-space Descriptionmentioning

confidence: 99%

“…For a detailed theoretical derivation of the predicted Talbot-Lau interference signal, we refer the reader to previous publications [25,26,43,48]…”

Section: A Talbot-lau Near-field Interferometermentioning

confidence: 99%

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Multiphoton absorption in optical gratings for matter waves

2016

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We present a theory for the diffraction of large molecules or nanoparticles at a standing light wave. Such particles can act as a genuine photon absorbers due to their numerous internal degrees of freedom effecting fast internal energy conversion. Our theory incorporates the interplay of three light-induced properties: the coherent phase modulation due to the dipole interaction, a non-unitary absorption-induced amplitude modulation described as a generalized measurement, and a coherent recoil splitting that resembles a quantum random walk in steps of the photon momentum. We discuss how these effects show up in near-field and far-field interference schemes, and we confirm our effective description by a dynamic evaluation of the grating interaction, which accounts for the internal states.

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Section: A Talbot-lau Near-field Interferometercontrasting

confidence: 68%

Section: Phase-space Descriptionmentioning

confidence: 70%

Section: Phase-space Descriptionmentioning

confidence: 99%

“…For a detailed theoretical derivation of the predicted Talbot-Lau interference signal, we refer the reader to previous publications [25,26,43,48]…”

Section: A Talbot-lau Near-field Interferometermentioning

confidence: 99%

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Multiphoton absorption in optical gratings for matter waves

2016

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“…8 for the perfluoralkylated nanosphere PFNS8. For smaller molecules with a higher signal-to-noise ratio, such as the fullerenes, Hornberger et al (2009) found that the excellent agreement between theory and experiment permits the determination of α opt with an accu-racy of around ten percent (dominated by the systematic uncertainties in the power and the vertical waist of the diffracting laser). This allows for instance a clear distinction between C 60 and C 70 , directly from the power dependence of their fringe visibility.…”

Section: A Optical Polarizabilitymentioning

confidence: 97%

Colloquium: Quantum interference of clusters and molecules

et al. 2012

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We review recent progress and future prospects of matter wave interferometry with complex organic molecules and inorganic clusters. Three variants of a near-field interference effect, based on diffraction by material nanostructures, at optical phase gratings, and at ionizing laser fields are considered. We discuss the theoretical concepts underlying these experiments and the experimental challenges. This includes optimizing interferometer designs as well as understanding the role of decoherence. The high sensitivity of matter wave interference experiments to external perturbations is demonstrated to be useful for accurately measuring internal properties of delocalized nanoparticles. We conclude by investigating the prospects for probing the quantum superposition principle in the limit of high particle mass and complexity.

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Quanteninterferenzexperimente für die Vermessung von Vitaminen in der Gasphase

et al. 2017

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Experimente der letzten Jahre haben gezeigt, dass die Materiewelleninterferometrie dazu verwendet werden kann, einem freien Molekülstrahl eine periodischeS truktur aufzuprägen und so auch noche inen Strahlversatz auf der Skala von Nanometern messbar zu machen.I mv orliegenden Beitrag nutzen wir diese Idee,umelektronische Eigenschaften der (Pro)Vitamine A, Eu nd K1 im Flug zu bestimmen. Die elektrische Suszeptibilitätu nd das zeitgemittelte dynamische elektrische Dipolmoment kçnnen dabei aus dem Versatz des Interferenzmusters in einem kontrollierten elektrischen Feld ermittelt werden. Die Abhängigkeit des Interferenzmusters von der Intensitäteines zentralen optischen Beugungsgitters erlaubt schließlich die Bestimmung einer optischen Polarisierbarkeit. Durchd en Vergleich der experimentellen Daten mit Molekulardynamiksimulationen kombiniert mit Dichtefunktionaltheorie erhalten wir Einblickindie elektronischeStruktur und Dynamik der isolierten Biomoleküle.D abei stellt b-Carotin aufgrund seiner ausgedehnt konjugierten Bindungen einen interessanten Spezialfall in der Reihe der hier untersuchten (Pro)Vitamine dar.

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Theory and experimental verification of Kapitza–Dirac–Talbot–Lau interferometry

Cited by 86 publications

References 47 publications

Multiphoton absorption in optical gratings for matter waves

Multiphoton absorption in optical gratings for matter waves

Colloquium: Quantum interference of clusters and molecules

Quanteninterferenzexperimente für die Vermessung von Vitaminen in der Gasphase

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