Dissipative quantum backflow

Mousavi, S. V.; Miret‐Artés, Salvador

doi:10.1140/epjp/s13360-020-00336-5

Cited by 14 publications

(20 citation statements)

References 29 publications

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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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Section: Introductionmentioning

confidence: 99%

Experiment-friendly formulation of quantum backflow

Miller

Woo

Dumke

et al. 2021

Quantum

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“…( 23) separately by using the method outlined above. Afterwards, these solutions are superposed to have the time dependent PD according to [19], P (x, t) = N 2 (P aa (x, t) + P ab (x, t) + P ba (x, t) + P bb (x, t)).…”

Section: B Superposition Of Two Gaussian Wave Packets; the Schrödinge...mentioning

confidence: 99%

“…Both approaches are not following the system-plus-environment model but effective time dependent Hamiltonians and nonlinear Schrödinger equations, respectively. Recently, the Caldirola-Kanai and CL approaches have been applied to describe interference and diffraction of identical particles in one slit problems [8]. The CL approach stresses different features of the dynamics of open quantum systems with respect to those are using wave functions.…”

Section: Introductionmentioning

confidence: 99%

On some unexplored decoherence aspects in the Caldeira-Leggett formalism: arrival time distributions, identical particles and diffraction in time

Mousavi,

Miret-Artes

2022

Preprint

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Some unexplored decoherence aspects within the Caldeira-Leggett master equation are analyzed and discussed. The decoherence process is controlled by the two environment parameters, the relaxation rate or friction and the temperature, leading to a gradual transition from the quantum to classical regime. Arrival time distributions, nonminimum-uncertainty-product or stretching Gaussian wave packets, identical particles and diffraction in time display interesting features during the decoherence process undergone by the time dependent interference patterns. We show that the presence of a constant force field does not affect the decoherence, positive values of the stretching parameter reduces the rate of decoherence, the symmetry of the wave function for identical particles plays no role when open dynamics are considered; and diffraction in time and space is gradually washed out by increasing the temperature and/or relaxation rate in the zero dissipation limit within the so-called quantum shutter problem.

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“…[15]. QB has been also investigated under the action of a constant force [16], in the presence of spin-orbit coupling [17], thermal noise [18], and dissipations [19] and in scattering situations [13]. QB in relativistic quantum mechanics was studied in Refs.…”

Section: Introductionmentioning

confidence: 99%

Probability backflow for correlated quantum states

Goussev

2020

Phys. Rev. Research

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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 another interference effect in which a wave packet expanding from a spatial region of its initial confinement partially returns to the region in the absence of any external forces. Here we show that both QB and QR are special cases of a more general classically forbidden probability flow for quantum states with certain position-momentum correlations. We further demonstrate that it is possible to construct correlated quantum states for which the amount of probability transferred in the "wrong" (classically impossible) direction exceeds the least upper bound on the corresponding probability transfer in the QB and QR problems, known as the Bracken-Melloy constant.

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Dissipative quantum backflow

Cited by 14 publications

References 29 publications

Experiment-friendly formulation of quantum backflow

Experiment-friendly formulation of quantum backflow

On some unexplored decoherence aspects in the Caldeira-Leggett formalism: arrival time distributions, identical particles and diffraction in time

Probability backflow for correlated quantum states

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