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One of the milestones of quantum mechanics is Bohr's complementarity principle. It states that a single quantum can exhibit a particle-like \emph{or} a wave-like behaviour, but never both at the same time. These are mutually exclusive and…

Quantum Physics · Physics 2015-06-03 R. Auccaise , R. M. Serra , J. G. Filgueiras , R. S. Sarthour , I. S. Oliveira , L. C. Céleri

Quantum backflow is the classically-forbidden effect pertaining to the fact that a particle with a positive momentum may exhibit a negative probability current at some space-time point. We investigate how this peculiar phenomenon extends to…

Quantum Physics · Physics 2020-09-09 Maximilien Barbier

The Quantum Cheshire Cat experiment showed that when weak measurements are performed on pre- and post-selected system, the counterintuitive result has been obtained that a neutron is measured to be in one place without its spin, and its…

Quantum Physics · Physics 2024-11-27 Mordecai Waegell , Jeff Tollaksen , Yakir Aharonov

Quantum mechanics introduces the possibility for particles to move in a direction opposite to their momentum -- a counter-intuitive and classically impossible phenomenon known as quantum backflow. The magnitude of this effect is relatively…

Quantum Physics · Physics 2025-03-13 Maximilien Barbier , Arseni Goussev

Which-path information of a quantum particle in interferometers is the key to infer the past of quantum particle. It arises many extensive discussions including quantum complementarity and path-visibility relation. The basic of these…

Quantum Physics · Physics 2022-08-31 Jinxian Guo , Qizhang Yuan , Yuan Wu , Weiping Zhang

For a particle travelling through an interferometer, the trade-off between the available which-way information and the interference visibility provides a lucid manifestation of the quantum mechanical wave-particle duality. Here we analyze…

Quantum Physics · Physics 2013-11-04 Konrad Banaszek , Pawel Horodecki , Michal Karpinski , Czeslaw Radzewicz

We use a Mach-Zehnder quantum Hall interferometer of a novel design to investigate the interference effects at fractional filling factors. Our device brings together the advantages of usual Mach-Zehnder and Fabry-Perot quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 E. V. Deviatov , S. V. Egorov , G. Biasiol , L. Sorba

Free motion of a quantum particle with the wave function entirely comprised of plane waves with non-negative momenta may be accompanied by negative probability current, an effect called quantum backflow. The effect is weak and fragile, and…

Quantum Physics · Physics 2021-02-25 Arseni Goussev

Quantum backflow is a counterintuitive effect in which the probability density of a free particle moves in the direction opposite to the particle's momentum. If the particle is electrically charged, then the effect can be viewed as the…

Quantum Physics · Physics 2024-03-05 Arseni Goussev , Jaewoo Joo

Wave--particle duality demonstrates the peculiar nature of quantum mechanics. In which-way experiments, depending on the measurement scheme, a particle exhibits either wave-like or particle-like properties, as summarized by Bohr's principle…

Quantum Physics · Physics 2026-04-22 Shiyu Wang , Zhiguang Yan , Clemens Gneiting , Rui Li , Franco Nori , Yasunobu Nakamura

We discuss complementarity and uncertainty in a gedanken Which-Way (Welcher-Weg) experiment in a Mach-Zehnder interferometer. Although a Welcher-Weg measurement can be performed with only a negligible amount of momentum change in the…

Quantum Physics · Physics 2007-05-23 D. Ludwin , Y. Ben-Aryeh , A. Mann

Optimal simultaneous control of position and momentum can be achieved by maximizing the probabilities of finding their experimentally observed values within two well-defined intervals. The assumption that particles move along straight lines…

Quantum Physics · Physics 2017-09-06 Holger F. Hofmann

A generalized Mach-Zehnder-type interferometer equipped with cross-Kerr elements is proposed to convert N-photon truncated single-mode quantum states into (N+1)-mode single-photon states, which are suitable for further state manipulation by…

Quantum Physics · Physics 2016-05-03 J. Clausen , L. Knoell , D. -G. Welsch

Quantum backflow is a counterintuitive phenomenon in which the probability density of a quantum particle propagates opposite to its momentum. Experimental observation of backflow has remained elusive due to two main challenges: (i) the…

Quantum Physics · Physics 2026-03-03 Tomasz Paterek , Arseni Goussev

Molecular transistors have the potential for switching with lower gate voltages than conventional field-effect transistors. We have calculated the performance of a single-molecule device in which there is interference between electron…

Mesoscale and Nanoscale Physics · Physics 2016-07-28 Ying Li , Jan Mol , Simon Benjamin , Andrew Briggs

Following earlier applications of weak measurement to new cases (Part I), we proceed to explore its temporal peculiarities. We analyze an idealized experiment in which weak which-path measurements do not prevent consecutive weak…

Quantum Physics · Physics 2015-06-23 Yakir Aharonov , Eliahu Cohen , Avshalom C. Elitzur

Quantum path interferences occur whenever multiple equivalent and coherent transitions result in a common final state. Such interferences strongly modify the probability of a particle to be found in that final state, a key concept of…

Quantum particles move in strange ways, even when they propagate freely in space. As a result of the uncertainty principle, it is not possible to control the initial conditions of particle emission in such a way that the particle will…

Quantum Physics · Physics 2021-04-14 Holger F. Hofmann

Multi-photon interference results in modulations of output probabilities with phase shift periods that are much shorter than 2 Pi. Here, we investigate the physics behind these statistical patterns in the case of well-defined photon numbers…

Quantum Physics · Physics 2016-10-12 Holger F. Hofmann , Keito Hibino , Kazuya Fujiwara , Jun-Yi Wu

As a general trend, nanoelectronics experiments are shifting toward frequencies so high that they become comparable to the device's internal characteristic time scales, resulting in new opportunities for studying the dynamical aspects of…

Mesoscale and Nanoscale Physics · Physics 2014-05-15 Benoit Gaury , Xavier Waintal