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We present a new deterministic algorithm for the sparse Fourier transform problem, in which we seek to identify k << N significant Fourier coefficients from a signal of bandwidth N. Previous deterministic algorithms exhibit quadratic…

Numerical Analysis · Mathematics 2012-07-27 David Lawlor , Yang Wang , Andrew Christlieb

Multimode two-particle systems show interference effects in one-particle detections when both particles have common modes. We explore the possibility of extending the usual concepts of distinguishability and visibility to these types of…

Quantum Physics · Physics 2007-05-23 P. Sancho

When subjected to monochromatic incident light a nanoparticle will emit light which then interferes with the incident beam. With sufficient contrast and sufficiently close to the particle this interference pattern may be recorded with a…

Optics · Physics 2019-02-26 T. G. Myers , H. Ribera , W. S. Bacsa

It is known that quantum interference can disappear with the mere possibility of distinguishability without actually performing the act. We create such distinguishability in an unbalanced SU(1,1) interferometer and indeed observe no…

Quantum Physics · Physics 2022-01-05 Nan Huo , Liang Cui , Yunxiao Zhang , Wen Zhao , Xueshi Guo , Z. Y. Ou , Xiaoying Li

It has been proposed and demonstrated that path-entangled Fock states (PEFSs) are robust against photon loss over NOON states [S. D. Huver \emph{et al.}, Phys. Rev. A \textbf{78}, 063828 (2008)]. However, the demonstration was based on a…

Quantum Physics · Physics 2021-04-28 Wei Zhong , Lan Zhou , Yu-Bo Sheng

Two-photon interference in a Hong-Ou-Mandel (HOM) interferometer can be used as a quantum sensing mechanism due to the sensitivity of the interference dip to perturbations of the photon indistinguishability. In particular, recent works have…

Quantum Physics · Physics 2025-12-23 Carolina Gonçalves , Tiago D. Ferreira , Catarina S. Monteiro , Nuno A. Silva

We investigate interference of optical fields by examining the probability distribution of photon detection. The usual description of interference patterns in terms of superposition of classical mean fields with definite phases is…

Quantum Physics · Physics 2014-01-03 Toru Kawakubo , Katsuji Yamamoto

It is shown that a classical optical Fourier processor can be used for the shaping of quantum correlations between two or more photons, and the class of Fourier masks applicable in the multiphoton Fourier space is identified. This concept…

Quantum Physics · Physics 2012-08-22 Eilon Poem , Yehonatan Gilead , Yoav Lahini , Yaron Silberberg

We realize a double-path multimode matter wave interferometer with spinor Bose-Einstein condensate and observe clear spatial interference fringes as well as a periodic change of the visibility in the time domain, which we refer to as the…

Atomic Physics · Physics 2020-02-06 Pengju Tang , Xiangyu Dong , Wenjun Zhang , Yunhong Li , Xuzong Chen , Xiaoji Zhou

The photonic de Broglie wave, in which an ensemble of $N$ identical photons with wavelength $\lambda$ reveals $\lambda/N$ interference fringes, has been known to be a unique feature exhibited by the photon number-path entangled state or the…

Quantum Physics · Physics 2015-05-14 Osung Kwon , Young-Sik Ra , Yoon-Ho Kim

The commonly assumed straight link between boson bunching and particle indistinguishability in quantum interferometry has recently been challenged [Nat. Photon. 17, 702 (2023)]. Exploiting the connection between quantum optical…

Quantum Physics · Physics 2024-08-01 Léo Pioge , Benoit Seron , Leonardo Novo , Nicolas J. Cerf

Interference of standing waves in electromagnetic resonators forms the basis of many technologies, from telecommunications and spectroscopy to detection of gravitational waves. However, unlike the confinement of light waves in vacuum, the…

It is shown that generalized measurements, required for optimally discriminating between nonorthogonal joint polarization states of two indistinguishable photons, can be realized with the help of polarization-dependent two-photon absorption…

Quantum Physics · Physics 2015-06-26 Ulrike Herzog

Matter-wave interferometry with nanoparticles will enable the development of quantum sensors capable of probing ultraweak fields with unprecedented applications for fundamental physics. The high sensitivity of such devices however makes…

Quantum Physics · Physics 2024-03-26 Paolo Fragolino , Martine Schut , Marko Toroš , Sougato Bose , Anupam Mazumdar

The analysis of signals created by a variety of instruments involves calculating the phase of a sinusoidal type signal. One widely used method to extract this information is through the use of Fourier transforms, but it is known that…

Optics · Physics 2018-11-02 Andrew John Henning , Dawei Tang , Xiangqian , Jiang

We investigate how to estimate from atom-position measurements the relative phase of two Bose-Einstein condensates released from a double-well potential. We demonstrate that the phase estimation sensitivity via the fit of the average…

Quantum Gases · Physics 2015-05-19 Jan Chwedenczuk , Francesco Piazza , Augusto Smerzi

The FFT algorithm that implements the discrete Fourier transform is considered one of the top ten algorithms of the $20$th century. Its main strengths are the low computational cost of $\mathcal{O}(n \log n$) and its stability. It is one of…

Numerical Analysis · Mathematics 2017-06-15 Matteo Briani , Annie Cuyt , Wen-shin Lee

We propose a new experiment employing two independent sources of spin correlated photon pairs. Two photons from different unpolarized sources each pass through a polarizer to a detector. Although their trajectories never mix or cross they…

Quantum Physics · Physics 2010-08-05 Mladen Pavicic , Johann Summhammer

We solve the general problem of determining, through imaging, the three-dimensional positions of $N$ weak incoherent point-like emitters in an arbitrary spatial configuration. We show that a structured measurement strategy in which a linear…

Quantum Physics · Physics 2021-03-25 Cosmo Lupo , Zixin Huang , Pieter Kok

The two-slit interference experiment has been modelled a number of times using Gaussian wave-packets and the Bohm-de Broglie causal interpretation. Here we consider the experiment with pinholes instead of slits and model the experiment in…

Quantum Physics · Physics 2019-09-04 Panayiotis N. Kaloyerou , Alfred M. Ilunga
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