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Quantum backflow is an interference effect in which a matter-wave packet comprised of only plane waves with non-negative momenta exhibits negative probability flux. Here we show that this effect is mathematically equivalent to the…

Quantum Physics · Physics 2019-05-01 Arseni Goussev

Measurable quantities that have positive values in classical dynamical systems need not to be positive in quantum theory. For example, consider a free quantum mechanical particle in one dimension. There are quantum states in which the…

Quantum Physics · Physics 2017-12-12 Daniela Cadamuro

Quantum backflow refers to the appearance of negative probability current in a state whose momentum distribution is essentially positive. We propose a scheme to prepare such states in a noninteracting Bose-Einstein condensate using…

Quantum Physics · Physics 2026-05-22 Yuchong Chen , Yijun Tang

The decay of quasi-stable quantum system involves primarily an outgoing probability current density. However, during the transition from exponential to inverse-power-law decay there are time intervals during which this current, although…

Quantum Physics · Physics 2019-11-07 Wytse van Dijk , F. Masafumi Toyama

A way is presented to design quantum wave functions that exhibit backflow, namely negative probability current despite having a strictly positive spectrum of momentum. These wave functions are derived from rational complex functions which…

Quantum Physics · Physics 2023-08-21 Ioannis Chremmos

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

The current density for a freely evolving state without negative momentum components can temporarily be negative. The operational arrival time distribution, defined by the absorption rate of an ideal detector, is calculated for a model…

Quantum Physics · Physics 2009-10-31 J. G. Muga , J. P. Palao , C. R. Leavens

We study the quantum backflow problem in the noncommutative plane. In particular, we have considered a charged particle with and without an oscillator interaction with noncommuting momentum operators and examined angular momentum backflow…

High Energy Physics - Theory · Physics 2020-12-29 V. D. Paccoia , O. Panella , P. Roy

In this paper we discuss relativistic quantum backflow. The general theory of relativistic backflow is written down and it is shown that the backflow can be written as a function of a simple parameter which is defined in terms of…

Quantum Physics · Physics 2020-01-08 Johar M. Ashfaque , J. Lynch , P. Strange

Backflow is a counter-intuitive phenomenon in which a forward propagating quantum particle propagates locally backwards. The actual counter-propagation property associated with this delicate interference phenomenon has not been observed to…

Optics · Physics 2018-11-26 Yaniv Eliezer , Thomas Zacharias , Alon Bahabad

Characterization and quantification of non-Markovian dynamics in open quantum systems are topical issues in the rapidly developing field of quantum computation and quantum communication. A standard approach based on the notion of…

Quantum Physics · Physics 2026-04-01 Kelvin Onggadinata , Teck Seng Koh

We analyse the quantum backflow effect and extend it, as a limiting constraint to its spatial extent, for scattering situations in the presence of a purely transmitting discontinuous jump-defect. Analytical and numerical comparisons are…

Quantum Physics · Physics 2020-10-07 Alexandre Hefren de Vasconcelos

The particle current in a metastable Fermi liquid against a first-order phase transition is calculated at zero temperature. During fluctuations of a droplet of the stable phase, in accordance with the conservation law, not only does an…

Condensed Matter · Physics 2009-10-31 Kei Iida

A classical system, which is analogous to the quantum one with a backflow of probability, is proposed. The system consists of a chain of masses interconnected by springs, as well attached by other springs to fixed supports. Thanks to the…

Classical Physics · Physics 2021-01-18 A. Matulis , A. Acus

We study the quantum backflow problem of a relativistic charged Dirac fermion constrained to move on a ring of radius $R$. Using the relativistic current operator we compute the probability flux through a generic time interval to show…

Quantum Physics · Physics 2023-08-14 Valentin Daniel Paccoia , Orlando Panella , Pinaki Roy

In the arrival time problem in quantum mechanics, a standard formula that frequently emerges as the probability for crossing the origin during a given time interval is the current integrated over that time interval. This is semiclassically…

Quantum Physics · Physics 2015-05-13 J. J. Halliwell , J. M. Yearsley

We study the interaction between two adjacent but electrically isolated quantum point contacts (QPCs). At high enough source-drain bias on one QPC, the drive QPC, we detect a finite electric current in the second, unbiased, detector QPC.…

Mesoscale and Nanoscale Physics · Physics 2007-09-03 V. S. Khrapai , S. Ludwig , J. P. Kotthaus , H. P. Tranitz , W. Wegscheider

Quantum Back Flow (QBF), discovered quite a few years back, is a generic purely quantum phenomenon, in which the probability of finding a particle in a direction is non-zero (and increasing for a certain period of time) even when the…

High Energy Physics - Theory · Physics 2021-12-08 Dripto Biswas , Subir Ghosh

In classical physics the joint probability of a number of individually rare independent events is given by the Poisson distribution. It describes, for example, unidirectional transfer of population between the densely and sparsely populated…

Quantum Physics · Physics 2015-06-12 Dmitri Sokolovski

We analyze recent approaches to quantum Markovianity and how they relate to the proper definition of quantum memory. We point out that the well-known criterion of information backflow may not correctly report character of the memory falsely…

Quantum Physics · Physics 2020-08-31 Michal Banacki , Marcin Marciniak , Karol Horodecki , Pawel Horodecki