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We present an original statistical method to measure the visibility of interferences in an electronic Mach-Zehnder interferometer in the presence of low frequency fluctuations. The visibility presents a single side lobe structure shown to…

Mesoscale and Nanoscale Physics · Physics 2008-03-17 Preden Roulleau , F. Portier , D. C. Glattli , P. Roche , A. Cavanna , G. Gaini , U. Gennser , D. Mailly

We realize a nanoscale-area Mach-Zehnder interferometer with co-propagating quantum Hall spin-resolved edge states and demonstrate the persistence of gate-controlled quantum interference oscillations, as a function of an applied magnetic…

With the current revival of interest in astronomical intensity interferometry, it is interesting to revisit the associated theory, which was developed in the 1950s and 1960s. This paper argues that intensity interferometry can be understood…

Instrumentation and Methods for Astrophysics · Physics 2020-09-17 Prasenjit Saha

The nonlinear Fourier transform (NFT), a powerful tool in soliton theory and exactly solvable models, is a method for solving integrable partial differential equations governing wave propagation in certain nonlinear media. The NFT…

Information Theory · Computer Science 2014-10-09 Mansoor I. Yousefi , Frank R. Kschischang

By the means of the standard quantum mechanics formalism I present an explicit derivation of the structure of power spectra in Danan {\em et al.} and Zhou {\em et al.} experiments with nested dynamically changing Mach-Zehnder…

Quantum Physics · Physics 2018-06-21 Marcin Wieśniak

We consider a ballistic Mach-Zehnder interferometer for electrons propagating chirally in one dimension (such as in an integer Quantum Hall effect edge channel). In such a system, dephasing occurs when the finite range of the interaction…

Mesoscale and Nanoscale Physics · Physics 2009-03-12 Clemens Neuenhahn , Florian Marquardt

Quantum Fourier transforms (QFT) have gained increased attention with the rise of quantum walks, boson sampling, and quantum metrology. Here we present and demonstrate a general technique that simplifies the construction of QFT…

The nonlinear Fourier transform, which is also known as the forward scattering transform, decomposes a periodic signal into nonlinearly interacting waves. In contrast to the common Fourier transform, these waves no longer have to be…

Information Theory · Computer Science 2015-11-24 Sander Wahls , H. Vincent Poor

Coupled nonlinear Schr\"odinger equations model various physical phenomena, such as wave propagation in nonlinear optics, multi-component Bose-Einstein condensates, and shallow water waves. Despite their extensive applications, analytical…

Numerical Analysis · Mathematics 2024-07-29 Nate Lovett , Harish Bhatt

We consider a mesoscopic circuit in the quantum Hall effect regime comprising two synchronized single-particle sources emitting particles into a Mach-Zehnder interferometer. While particles from one source can possibly interfere at the…

Mesoscale and Nanoscale Physics · Physics 2011-10-25 Stefan Juergens , Janine Splettstoesser , Michael Moskalets

We propose a device consisting of $m$ Mach-Zehnder interferometers and realizing sorting of first $2^m$ temporal Hermite-Gauss modes of light passing though it by adjusting the accumulated temporal Gouy phase acquired by every mode. This…

Quantum Physics · Physics 2025-08-11 Dmitri B. Horoshko , Mikhail I. Kolobov

Bose Einstein Condensates, with their coherence properties, have attracted wide interest for their possible application to ultra precise interferometry and ultra weak force sensors. Since condensates, unlike photons, are interacting, they…

Other Condensed Matter · Physics 2009-11-11 L. Pezze' , L. A. Collins A. Smerzi , G. P. Berman , A. R. Bishop

Quantum interferometry uses quantum resources to improve phase estimation with respect to classical methods. Here we propose and theoretically investigate a new quantum interferometric scheme based on three-dimensional waveguide devices.…

Quantum Physics · Physics 2013-01-09 N. Spagnolo , L. Aparo , C. Vitelli , A. Crespi , R. Ramponi , R. Osellame , P. Mataloni , F. Sciarrino

In digital signal processing time-frequency transforms are used to analyze time-varying signals with respect to their spectral contents over time. Apart from the commonly used short-time Fourier transform, other methods exist in literature,…

Signal Processing · Electrical Eng. & Systems 2021-01-19 Stefan Scholl

Interferometers are some of the most important optical devices, yet their spin wave based analogues so far received limited attention. In this work we demonstrate how one can design Mach-Zehnder Interferometer (MZI) operating on spin waves,…

Materials Science · Physics 2024-04-26 Kirill A. Rivkin

We present a numerical study of a multichannel electronic Mach-Zehnder interferometer, based on magnetically-driven non-interacting edge states. The electron path is defined by a full-scale potential landscape on the two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2018-05-23 Laura Bellentani , Andrea Beggi , Paolo Bordone , Andrea Bertoni

Double-slit electron interferometers, fabricated in high mobility two-dimensional electron gas (2DEG), proved to be very powerful tools in studying coherent wave-like phenomena in mesoscopic systems. However, they suffer from small fringe…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Yang Ji , Yunchul Chung , D. Sprinzak , M. Heiblum , D. Mahalu , Hadas Shtrikman

Using the shift-operator technique, a compact formula for the Fourier transform of a product of two Slater-type orbitals located on different atomic centers is derived. The result is valid for arbitrary quantum numbers and was found to be…

Materials Science · Physics 2009-11-13 T. A. Niehaus , R. López , J. F. Rico

Photon counting measurement has been regarded as the optimal measurement scheme for phase estimation in the squeezed-state interferometry, since the classical Fisher information equals to the quantum Fisher information and scales as…

Quantum Physics · Physics 2018-01-03 P. Liu , G. R. Jin

Interferometers provide a highly sensitive means to investigate and exploit the coherence properties of light in metrology applications. However, interferometers come in various forms and exploit different properties of the optical states…