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We put forward and demonstrate experimentally a {\it quantum-inspired} protocol that allows to quantify the degree of similarity between two spatial shapes embedded in two optical beams without the need to measure the amplitude and phase…

Optics · Physics 2022-12-07 Daniel F. Urrego , Juan P. Torres

Spatio-spectral properties of twin beams at their transition from low to high intensities are analyzed in parametric and paraxial approximations using the decomposition into paired spatial and spectral modes. Intensity auto- and…

Quantum Physics · Physics 2016-01-05 Jan Perina

Quantum spectroscopy with single two level systems has considerably improved our ability to detect weak signals. Recently it was realized that for classical signals, precision and resolution of quantum spectroscopy is limited mainly by…

Quantum Physics · Physics 2018-08-01 Tuvia Gefen , Maxim Khodas , Liam P. McGuinness , Fedor Jelezko , Alex Retzker

We study the scattering of two-level atoms at narrow laser fields, modeled by a $\delta$-shape intensity profile. The unique properties of these potentials allow us to give simple analytic solutions for one or two field zones. Several…

Quantum Physics · Physics 2009-11-13 D. Seidel , J. G. Muga , G. C. Hegerfeldt

We describe a multispeckle dynamic light scattering technique capable of resolving the motion of scattering sites in cases that this motion changes systematically with time. The method is based on the visibility of the speckle pattern…

Soft Condensed Matter · Physics 2007-05-23 R. Bandyopadhyay , A. S. Gittings , S. S. Suh , P. K. Dixon , D. J. Durian

Based on periodogram-ratios of two univariate time series at different frequency points, two tests are proposed for comparing their spectra. One is an Anderson-Darling-like statistic for testing the equality of two time-invariant spectra.…

Methodology · Statistics 2021-03-16 Shibin Zhang , Xin M. Tu

Classical spectral methods are subject to two fundamental limitations: they only can account for covariance-related serial dependencies, and they require second-order stationarity. Much attention has been devoted lately to quantile-based…

Statistics Theory · Mathematics 2016-07-19 Stefan Birr , Stanislav Volgushev , Tobias Kley , Holger Dette , Marc Hallin

In the framework of the signal processing approach to single-atom resonance fluorescence with spectral resolution, we diagrammatically derive an analytical formula for arbitrary-order spectral correlation functions of the scattered fields…

Quantum Physics · Physics 2016-09-21 Vyacheslav N. Shatokhin , Sergei Ya. Kilin

We show that a two-level atom resonantly coupled to one of the modes of a cavity field can be used as a sensitive tool to measure the proper acceleration of a combined atom-cavity system. To achieve it we investigate the relation between…

Quantum Physics · Physics 2018-08-21 Kacper Kożdoń , Ian T. Durham , Andrzej Dragan

Temporal-spectral modes of light provide a fundamental window into the nature of atomic and molecular systems and offer robust means for information encoding. Methods to precisely characterize the temporal-spectral state of light at the…

Quantum Physics · Physics 2018-08-29 Alex O. C. Davis , Valérian Thiel , Michał Karpiński , Brian J. Smith

We demonstrate a two-dimensional time-domain spectroscopy method to extract amplitude and phase modifications of excited atomic states caused by the interaction with ultrashort laser pulses. The technique is based on Fourier analysis of the…

Atomic Physics · Physics 2015-06-19 Alexander Blättermann , Christian Ott , Andreas Kaldun , Thomas Ding , Thomas Pfeifer

We use an optical cavity in the regime of intermediate coupling between atom and cavity mode to detect single moving atoms. Degenerate polarization modes allow excitation of the atoms in one mode and collection of spontaneous emission in…

Quantum Physics · Physics 2012-12-20 D. G. Norris , E. J. Cahoon , L. A. Orozco

Motivated by questions of present interest in nuclear and condensed matter physics we consider the superposition of a diagonal matrix with independent random entries and a GUE. The relative strength of the two contributions is determined by…

Disordered Systems and Neural Networks · Physics 2009-10-30 Thomas Guhr , Axel Mueller-Groeling

Some spectral data analysis methods that are useful for the two-dimensional imaging diagnostics data are introduced. It is shown that the frequency spectrum, the local dispersion relation, the flow shear, and the nonlinear energy transfer…

Data Analysis, Statistics and Probability · Physics 2019-08-28 Minjun J. Choi

Over the last three decades numerous numerical methods for solving the time-dependent Schr\"{o}dinger equation within the single-active electron approximation have been developed for studying ionization of atomic targets exposed to an…

Atomic Physics · Physics 2020-08-12 B. Fetić , W. Becker , D. B. Milošević

We propose a two-dimensional spectroscopic protocol for measuring the time-dependent coherences between the stationary states of a system induced by a time-dependent system-bath interaction. We also investigate the role of…

Chemical Physics · Physics 2022-01-05 William Barford , Allison Nicole Arber , Fynn McLennan , Max Marcus

We develop a formalism based on a time-dependent wave-function ansatz to study correlations of photons emitted from a collection of two-level quantum emitters. We show how to simulate the system dynamics and evaluate the intensity of the…

Two-color second-order correlations of the light scattered near-resonantly by a quantum dot were measured by means of spectrally-filtered coincidence detection. The effects of filter frequency and bandwidth were studied under monochromatic…

Quantum Physics · Physics 2015-05-20 M. Peiris , B. Petrak , K. Konthasinghe , Y. Yu , Z. C. Niu , A. Muller

Spatial association measures for univariate static spatial data are widely used. When the data is in the form of a collection of spatial vectors with the same temporal domain of interest, we construct a measure of similarity between the…

Methodology · Statistics 2023-09-26 Divya Kappara , Arup Bose , Madhuchhanda Bhattacharjee

Neural field theory is used to quantitatively analyze the two-dimensional spatiotemporal correlation properties of gamma-band (30 -- 70 Hz) oscillations evoked by stimuli arriving at the primary visual cortex (V1), and modulated by patchy…

Neurons and Cognition · Quantitative Biology 2021-03-19 X. Liu , P. Sanz-Leon , P. A. Robinson