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Arbitrary interference curves by coincidence detection: Theory and experiment
KTH, School of Engineering Sciences (SCI), Applied Physics, Quantum Electronics and Quantum Optics, QEO.
KTH, School of Engineering Sciences (SCI), Applied Physics, Quantum Electronics and Quantum Optics, QEO.ORCID iD: 0000-0003-2136-4914
KTH, School of Engineering Sciences (SCI), Applied Physics, Quantum Electronics and Quantum Optics, QEO.ORCID iD: 0000-0002-2082-9583
2013 (English)In: Optical Society of America. Journal A: Optics, Image Science, and Vision, ISSN 1084-7529, E-ISSN 1520-8532, Vol. 30, no 10, 1921-1928 p.Article in journal (Refereed) Published
Abstract [en]

We discuss how to use coincidence detection to generate unusual, nonsinusoidal interference curves by using not a single detector, but several in coincidence. The method works for both strong (classical) and weak (on the fewphoton level) light, although in the latter case the detection becomes probabilistic with low efficiency. Using the method, one can tailor the coincidence measurement setup to obtain essentially any interference pattern. We then use the method to experimentally demonstrate phase-difference state interference patterns in the few-photon regime that are highly nonsinusoidal. We also discuss optimal implementation of the method with regard to fluctuations and success probability, and we analyze the origin and magnitude of errors.

Place, publisher, year, edition, pages
2013. Vol. 30, no 10, 1921-1928 p.
National Category
Other Physics Topics
Identifiers
URN: urn:nbn:se:kth:diva-133197DOI: 10.1364/JOSAA.30.001921ISI: 000325214200003Scopus ID: 2-s2.0-84885332632OAI: oai:DiVA.org:kth-133197DiVA: diva2:659828
Funder
Swedish Research Council, 621-2011-4575
Note

QC 20131028

Available from: 2013-10-28 Created: 2013-10-28 Last updated: 2017-04-28Bibliographically approved
In thesis
1. Majorana Representation in Quantum Optics: SU(2) Interferometry and Uncertainty Relations
Open this publication in new window or tab >>Majorana Representation in Quantum Optics: SU(2) Interferometry and Uncertainty Relations
2017 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

The algebra of SU(2) is ubiquitous in physics, applicable both to the atomic spin states and the polarisation states of light. The method developed by Majorana and Schwinger to represent pure, symmetric spin-states of arbitrary value as a product of spin-1/2 states is a powerful tool that allows for a great conceptual and practical simplification. Foremost, it allows the representation of a qudit on the same geometry as a qubit, i.e., the Bloch sphere.

An experimental implementation of the Majorana representation in the realm of quantum optics is presented. The technique allows the projection of arbitrary quantum states from a coherent state input. It is also shown that the method can be used to synthesise arbitrary interference patterns with unit visibility, and without resorting to quantum resources. In this context, it is argued that neither the shape nor the visibility of the interference pattern is a good measure of quantumness. It is only the measurement scheme that allows for the perceived quantum behaviour.

The Majorana representation also proves useful in delineating uncertainty limits of states with a particular spin value. Issues with traditional uncertainty relations involving the SU(2) operators, such as trivial bounds for certain states and non-invariance, are thereby resolved with the presented pictorial solution.

Place, publisher, year, edition, pages
Stockholm: KTH Royal Institute of Technology, 2017. 66 p.
Series
TRITA-FYS, ISSN 0280-316X ; 2017:25
Keyword
Majorana representation, Quantum optics, interferometry, SU(2) group, angular momentum, arbitrary optical gates
National Category
Atom and Molecular Physics and Optics
Research subject
Physics
Identifiers
urn:nbn:se:kth:diva-206222 (URN)978-91-7729-367-5 (ISBN)
Public defence
2017-05-12, FA31, AlbaNova University Center, Roslagstullsbacken 21, Stockholm, 13:00 (English)
Opponent
Supervisors
Note

QC 20170428

Available from: 2017-04-28 Created: 2017-04-28 Last updated: 2017-04-28Bibliographically approved

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Swillo, MarcinBjörk, Gunnar

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