Near-100% two-photon-like coincidence-visibility dip with classical light and the role of complementarity

Sadana, Simanraj; Ghosh, Debadrita; Joarder, Kaushik; Lakshmi, A. Naga; Sanders, Barry C.; Sinha, Urbasi

doi:10.1103/physreva.100.013839

Cited by 18 publications

(26 citation statements)

References 23 publications

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“…As C(τ) and C(θ) are dependent on the probability distribution of the phase j, the visibility of the curves can exceed 0.5, with an appropriate choice of the probability distribution. For some distribution, the visibility can reach 1, classically [40]. The variation of the correlation as a function of the distinguishability parameter is used as a signature of a beam splitter, which the double-slit setup, as is discussed in this work, also exhibits.…”

Section: Resultsmentioning

confidence: 98%

“…Specifically, if the fluctuation is uniform, the correlation shows a dip of 50% as the distinguishability parameter (like time-delay) approaches zero. A brief discussion of this concept is in appendix C and a detailed analysis of this phenomenon is presented in [40].…”

Section: Correlated Outputs Of a Beam Splittermentioning

confidence: 99%

“…For completeness, appendix E discusses the 100% dip in the correlation by using a suitable probability distribution of phase, as suggested in [40].…”

Section: Cross-correlation Of the Post-selected Outputsmentioning

confidence: 99%

“…which shows that although the fields are classical, a 100% dip or a Hong-Ou-Mandel like dip is achieved if the probability distribution of the relative phase between the inputs are chosen carefully. A study of such an effect is discussed in [40].…”

Section: Acknowledgmentsmentioning

confidence: 99%

“…In semi-classical theory of photo-detection [34,35,29], the probability of coincident photo-detections is proportional to the intensity-intensity cross-correlation of the outputs, a normalized version of which is the curve shows a visibility of 0.5. A detailed analysis of this cross-correlation with classical pulses is discussed in [40].…”

Section: A2 Small Slit Approximationmentioning

confidence: 99%

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Double-slit interferometry as a lossy beam splitter

2019

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We cast diffraction-based interferometry in the framework of post-selected unitary description towards enabling it as a platform for quantum information processing (QIP). We express slitdiffraction as an infinite-dimensional transformation and truncate it to a finite-dimensional transfer matrix by post-selecting modes. Using such a framework with classical fields we show that a customized double-slit setup is effectively a lossy beam splitter in a post-selected sense. Diffraction optics provides a robust alternative to conventional multi-beam interferometry with scope for miniaturization, and also has applications in matter wave interferometry. In this work, the classical treatment of slit-diffraction sets the stage for quantization of fields and implementing higherdimensional QIP like that done with other platforms such as orbital angular momentum.

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Section: Resultsmentioning

confidence: 98%

Section: Correlated Outputs Of a Beam Splittermentioning

confidence: 99%

“…For completeness, appendix E discusses the 100% dip in the correlation by using a suitable probability distribution of phase, as suggested in [40].…”

Section: Cross-correlation Of the Post-selected Outputsmentioning

confidence: 99%

Section: Acknowledgmentsmentioning

confidence: 99%

Section: A2 Small Slit Approximationmentioning

confidence: 99%

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Double-slit interferometry as a lossy beam splitter

2019

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Photon Sources for Quantum Technologies

Sinha

2023

Encyclopedia of Materials: Electronics

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Signatures of many-particle interference

Walschaers¹

2020

J. Phys. B: At. Mol. Opt. Phys.

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Quantum systems with many constituents give rise to a range of conceptual, analytical and computational challenges, hence, the label "complex systems". In the first place, one can think of interactions, described by a manybody Hamiltonian, as the source of such complexity. However, it has gradually become clear that, even in absence of interactions, many-body systems are more than just the sum of their parts. This feature is due to many-body interference.One of the most well-known interference phenomena is the Hong-Ou-Mandel effect, where total destructive interference is observed for a pair of (noninteracting) identical photons. This two-photon interference effect can be generalised to systems of many particles which can be either fermionic or bosonic. The resulting many-particle interference goes beyond quantum statistical effects that are contained in the Bose-Einstein or Fermi-Dirac distributions, and is dynamical in nature.This Tutorial will introduce the mathematical framework for describing systems of identical particles, and explain the notion of indistinguishability. We will then focus our attention on dynamical systems of free particles and formally introduce the concept of many-particle interference. Its impact on manyparticle transition probabilities is computationally challenging to evaluate, and it becomes rapidly intractable for systems with large numbers of identical particles. Hence, this Tutorial will build up towards alternative, more efficient methods for observing signatures of many-particle interference. A first type of signatures relies on the detection of a highly sensitive -but also highly fragile-processes of total destructive interference that occurs in interferometers with a high degree of symmetry. A second class of signatures is based on the statistical features that arise when we study the typical behaviour of correlations between a small number of the interferometer's output ports. We will ultimately show how these statistical signatures of many-particle interference lead us to a statistical version of the Hong-Ou-Mandel effect.The work presented in this Tutorial was one of the four shortlisted finalists of the 2018 DPG SAMOP dissertation prize.

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Near-100% two-photon-like coincidence-visibility dip with classical light and the role of complementarity

Cited by 18 publications

References 23 publications

Double-slit interferometry as a lossy beam splitter

Double-slit interferometry as a lossy beam splitter

Photon Sources for Quantum Technologies

Signatures of many-particle interference

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