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Quantum backflow is a classically forbidden effect consisting in a negative flux for states with negligible negative momentum components. It has never been observed experimentally so far. We derive a general relation that connects backflow…

Quantum Physics · Physics 2014-11-21 M. Palmero , E. Torrontegui , M. Modugno , J. G. Muga

Quantum backflow is usually understood as a quantum interference phenomenon where probability current of a quantum particle points in the opposite direction to particle's momentum. Here, we quantify the amount of quantum backflow for…

Quantum Physics · Physics 2021-01-13 Marek Miller , Woo Chee Yuan , Rainer Dumke , Tomasz Paterek

In its standard formulation, quantum backflow is a classically impossible phenomenon in which a free quantum particle in a positive-momentum state exhibits a negative probability current. Recently, Miller et al. [Quantum 5, 379 (2021)] have…

Quantum Physics · Physics 2021-09-08 Maximilien Barbier , Arseni Goussev

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

We present an exhaustive class of states with quantum backflow -- the phenomenon in which a state consisting entirely of positive momenta may have negative current and the probability flows in the opposite direction to the momentum. They…

Quantum Physics · Physics 2015-08-13 J. J. Halliwell , E. Gillman , O. Lennon , M. Patel , I. Ramirez

We present an introduction to the backflow effect in quantum mechanics -- the phenomenon in which a state consisting entirely of positive momenta may have negative current and the probability flows in the opposite direction to the momentum.…

Quantum Physics · Physics 2015-06-12 J. M. Yearsley , J. J. Halliwell

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

In its original formulation, quantum backflow (QB) is an interference effect that manifests itself as a negative probability transfer for free-particle states comprised of plane waves with only positive momenta. Quantum reentry (QR) is…

Quantum Physics · Physics 2020-08-07 Arseni Goussev

We study the phenomenon of quantum backflow in tight-binding systems with complex couplings, considering different boundary conditions and lattice sizes. Backflow is an intrinsically non-classical effect where the density flux associated…

Quantum Physics · Physics 2026-03-11 Francisco Ricardo Torres Arvizu , Adrián Ortega , Hernán Larralde

We investigate the backflow effect in elementary quantum mechanics - the phenomenon in which a state consisting entirely of positive momenta may have negative current and the probability flows in the opposite direction to the momentum. We…

Quantum Physics · Physics 2015-06-04 J. M. Yearsley , J J. Halliwell , R. Hartshorn , A. Whitby

We present a Raman atom interferometer using large momentum transfer without reversing the direction of the effective wavevector ($k$-reversal). More specifically, we use a microwave $\pi$/2 pulse to manipulate the spin state of $^{87}$Rb…

Atomic Physics · Physics 2025-07-21 Guanchen Peng , Bryony Lanigan , R. Shah , J. Lim , A. Kaushik , J. P. Cotter , E. A. Hinds , B. E. Sauer

Quantum backflow is a surprising phenomenon in which a quantum particle, moving in one dimension and with a state of rightwards momentum, can exhibit a net probability transfer to the left-hand half-line over a finite time interval. We…

Quantum Physics · Physics 2025-11-13 Christopher J. Fewster , Harkan J. Kirk-Karakaya

The probability density of a quantum particle moving freely within a circular ring can exhibit local flow patterns inconsistent with its angular momentum, a phenomenon known as quantum backflow. In this study, we examine a quantum particle…

Quantum Physics · Physics 2024-08-13 Arseni Goussev , Felix Quinque , Jaewoo Joo , Andrew Burbanks

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

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

Quantum backflow, a counterintuitive interference phenomenon where particles with positive momentum can propagate backward, is important in applications involving light-matter interactions. To date, experimental demonstrations of backflow…

Atom interferometers are a useful tool for precision measurements of fundamental physical phenomena, ranging from local gravitational field strength to the atomic fine structure constant. In such experiments, it is desirable to implement a…

Quantum State Tomography (QST) has been the traditional method for characterization of an unknown state. Recently, many direct measurement methods have been implemented to reconstruct the state in a resource efficient way. In this letter,…

Quantum Physics · Physics 2020-09-23 Surya Narayan Sahoo , Sanchari Chakraborti , Arun K. Pati , Urbasi Sinha

We perform a numerical simulation of quantum turbulence produced by thermal counterflow in superfluid $^4$He by using the vortex filament model with the full Biot--Savart law. The pioneering work of Schwarz has two shortcomings: it neglects…

Other Condensed Matter · Physics 2015-05-14 Hiroyuki Adachi , Shoji Fujiyama , Makoto Tsubota

Consider a scenario where a quantum particle is initially prepared in some bounded region of space and left to propagate freely. After some time, we verify if the particle has reached some distant target region. We find that there exist…

Quantum Physics · Physics 2023-09-27 David Trillo , Thinh P. Le , Miguel Navascues
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