We calculate the second-order moments, the Robertson-Schrödinger uncertainty product, and the Mandel factor for various superpositions of coherent phase states with opposite arguments, comparing the results with similar superpositions of the usual (Klauder-Glauber-Sudarshan) coherent states. We discover that the coordinate variance in the analog of even coherent states can show the most strong squeezing effect, close to the maximal possible squeezing for the given mean photon number. On the other hand, the Robertson-Schrödinger (RS) uncertainty product in superpositions of coherent phase states increases much slower (as function of the mean photon number) than in superpositions of the usual coherent states. A nontrivial behavior of the Mandel factor for small mean photon numbers is discovered in superpositions with unequal weights of two components. An exceptional nature of the even and odd superpositions is demonstrated.
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http://dx.doi.org/10.3390/e26110977 | DOI Listing |
Nat Commun
December 2024
Institute for Quantum Computing, University of Waterloo, Waterloo, ON, Canada.
Methods to prepare and characterize neutron helical waves carrying orbital angular momentum (OAM) were recently demonstrated at small-angle neutron scattering (SANS) facilities. These methods enable access to the neutron orbital degree of freedom which provides new avenues of exploration in fundamental science experiments as well as in material characterization applications. However, it remains a challenge to recover phase profiles from SANS measurements.
View Article and Find Full Text PDFIn doped semiconductors such as monolayer transition-metal dichalcogenides (TMDs), the optical properties are predominantly determined by exciton polarons, which are coherent superpositions of excitons and electron-hole excitation pairs in the Fermi sea. Here, we theoretically study the effect of exciton polarons on thermal radiation in doped two-dimensional semiconductors. By deriving an emissivity formula in terms of the dielectric function and the thickness of two-dimensional semiconductors, we show that the emissivity spectrum exhibits a narrow peak at the energy of an exciton polaron.
View Article and Find Full Text PDFPolarization ellipses are well-known as the result of coherent superposition of photonic spin states. As orbital counterparts, in this Letter, we introduce centroid ellipses that are geometrically mapped from optical orbital angular momentum (OAM) superpositions on a modal Poincaré sphere (PS) by coaxial interference. Different from not easily observable polarization ellipses, these centroid ellipses can be directly observed from dynamical interferograms with broken rotational symmetry.
View Article and Find Full Text PDFNanophotonics
November 2024
Chimie ParisTech, PSL University, CNRS, Institut de Recherche de Chimie Paris, Paris, France.
Efforts to harness quantum hardware relying on quantum mechanical principles have been steadily progressing. The search for novel material platforms that could spur the progress by providing new functionalities for solving the outstanding technological problems is however still active. Any physical property presenting two distinct energy states that can be found in a long-lived superposition state can serve as a quantum bit (qubit), the basic information processing unit in quantum technologies.
View Article and Find Full Text PDFThe orbital angular momentum (OAM) of beams provides an additional degree of freedom and has been applied in various scientific and technological fields. Accurate and quantitative measurement of intensity distributions across different OAM modes, referred to as the OAM spectrum of a beam, is crucial. Here, we propose a straightforward and efficient experimental setup for measuring the OAM spectrum of a randomly fluctuating beam.
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