Equivalence between quantum backflow and classically forbidden probability flow in a diffraction-in-time problem

Goussev, Arseni

doi:10.1103/physreva.99.043626

Cited by 28 publications

(34 citation statements)

References 24 publications

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“…So we identify this also as quantum backflow. Actually this phenomenon is closer to quantum reentry discussed by Goussev [17], who determined that quantum backflow and quantum reentry are equivalent. The phenomenon is general in the sense that it is not an artifact of the nature of the delta-function barrier.…”

Section: Quantum Backflow Interpretationsupporting

confidence: 69%

Decay of a quasistable quantum system and quantum backflow

Dijk

Toyama

2019

Phys. Rev. A

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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 small, is inward. In this paper this inward flow is associated with quantum backflow. Furthermore substantial backflow exists for time-evolving free wave packets which are initially confined in space.

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Section: Quantum Backflow Interpretationsupporting

confidence: 69%

Decay of a quasistable quantum system and quantum backflow

Dijk

Toyama

2019

Phys. Rev. A

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“…Albarelli et al have addressed the notion of nonclassicality arising from the backflow effect and analyzed its relationship with the corresponding one on the negativity of the Wigner function [10]. Very recently, it was also argued that the backflow under the presence of a constant field is mathematically equivalent to the problem of diffraction in time for particles initially confined to a semi-infinite line, expanding in free space [11]. As far as we know, no experimental evidence of this effect has been yet reported.…”

Section: Introductionmentioning

confidence: 99%

Dissipative quantum backflow

Mousavi

Miret‐Artés

2020

Eur. Phys. J. Plus

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Dissipative backflow is studied in the context of open quantum systems. This theoretical analysis is carried out within two frameworks, the effective time-dependent Hamiltonian due to Caldirola-Kanai and the Caldeira-Leggett one where a master equation is used to describe the reduced density matrix in presence of dissipation and temperature of the environment. Two examples are considered, the free evolution of a superposition of two Gaussian wave packets and evolution under a constant field. Backflow is showed to be reduced with dissipation and temperature but never suppressed. The classical limit of backflow is also analyzed within the context of the classical Schrödinger equation and showed that it can be also observed. Backflow is also analyzed as an eigenvalue problem in the Caldirola-Kanai framework. In the free propagation case, eigenvalues are independent on mass, Planck constant, friction and duration of the backflow but, in the constant force case, eigenvalues depend on a factor which itself is a combination of all of them as well as the force constant.

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“…QB in systems interacting with linear potential was studied in [21]. Recently, there have been attempts at analysing QB in the relativistic setting [20,25,3], in the setting of quantum particle decay [9,13], as well as the attempts at describing quantum backflow in dissipative [22] and many-particle systems [4]. The phenomenon was extended into phase space in Ref.…”

Section: Introductionmentioning

confidence: 99%

Experiment-friendly formulation of quantum backflow

Miller

Woo

Dumke

et al. 2021

Quantum

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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 arbitrary momentum distributions, paving the way towards its experimental verification. We give examples of backflow in gravitational and harmonic potential, and discuss experimental procedures required for the demonstration using atomic gravimeters. Such an experiment would show that the probability of finding a free falling particle above initial level could grow for suitably prepared quantum state with most momentum downwards.

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Equivalence between quantum backflow and classically forbidden probability flow in a diffraction-in-time problem

Cited by 28 publications

References 24 publications

Decay of a quasistable quantum system and quantum backflow

Decay of a quasistable quantum system and quantum backflow

Dissipative quantum backflow

Experiment-friendly formulation of quantum backflow

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