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We propose a general and experimentally accessible framework to quantify transition timing in discrete quantum systems via the time-of-flow (TF) distribution. Defined from the rate of population change in a target state, the TF distribution…

Quantum Physics · Physics 2025-09-26 Mathieu Beau

We investigate the tunneling time of a wave packet propagating through a non-Hermitian potential $V_{r} - iV_{i}$ in space-fractional quantum mechanics. By applying the stationary phase method, we derive a closed-form expression for the…

Quantum Physics · Physics 2025-04-08 Mohammad Umar , Vibhav Narayan Singh , Bhabani Prasad Mandal

We study the nature of tunneling phase time for various quantum mechanical structures such as networks and rings having potential barriers in their arms. We find the generic presence of Hartman effect, with superluminal velocities as a…

Quantum Physics · Physics 2007-05-23 Swarnali Bandopadhyay , A. M. Jayannavar

We calculate the time taken by a wave packet to travel through a classically forbidden region of space in space fractional quantum mechanics. We obtain the close form expression of tunneling time from a rectangular barrier by stationary…

Quantum Physics · Physics 2019-08-06 Mohammad Hasan , Bhabani Prasad Mandal

We introduce a general framework for defining context-dependent time distributions in quantum systems using projective measurements. The time-of-flow (TF) distribution, derived from population transfer rates into a measurement subspace,…

Quantum Physics · Physics 2025-11-17 Mathieu Beau

We model ideal arrival-time measurements for free quantum particles and for particles subject to an external interaction by means of a narrow and weak absorbing potential. This approach is related to the operational approach of measuring…

Quantum Physics · Physics 2016-09-08 G. C. Hegerfeldt , D. Seidel , J. G. Muga , B. Navarro

We calculate the time taken by a wave packet to travel through a classically forbidden locally periodic rectangular potential in space fractional quantum mechanics (SFQM). We obtain the close form expression of tunneling time from such a…

Quantum Physics · Physics 2021-07-20 Mohammad Hasan , Bhabani Prasad Mandal

We introduce a formalism for the calculation of the time of arrival t at a space point for particles traveling through interacting media. We develop a general formulation that employs quantum canonical transformations from the free to the…

Quantum Physics · Physics 2009-11-06 J. Leon , J. Julve , P. Pitanga , F. J. de Urries

We present an implementation of the time-frequency (TF) quantum key distribution (QKD) protocol realized mainly with standard telecommunication components at 1550 nm. TF-QKD is implemented with modulations in time and frequency, namely…

Quantum Physics · Physics 2021-12-09 Jasper Rödiger , Nicolas Perlot , Oliver Benson , Ronald Freund

In the First Part of this paper [that was submitted for pub. in 1991 and appeared in print in Phys. Reports 214 (1992) 339] we critically review the main theoretical definitions and calculations of the sub-barrier tunnelling and reflection…

Condensed Matter · Physics 2007-09-17 Vladislav S. Olkhovsky , Erasmo Recami

We further develop the general theory of quantum time distributions introduced in arXiv:2010.07575 and apply it to find the distribution of arrival times at the detector. Even though the Hamiltonian in the absence of detector is hermitian,…

Quantum Physics · Physics 2022-06-01 Tajron Jurić , Hrvoje Nikolić

This paper develops a geometrodynamic extension of Bohmian mechanics to describe quantum tunneling through a potential barrier, treating particle trajectories as geodesics in an Alcubierre-type spacetime. The model provides analytical…

Quantum Physics · Physics 2025-11-27 Said Lantigua , Jonas Maziero

Some fundamental and formal aspects of the quantum dwell time are reviewed, examples for free motion and scattering off a potential barrier are provided, as well as extensions of the concept. We also examine the connection between the dwell…

Quantum Physics · Physics 2012-03-26 J. Muñoz , I. L. Egusquiza , A. del Campo , D. Seidel , J. G. Muga

We demonstrate that the time operator that measures the time of arrival of a quantum particle into chosen state can be defined as a self-adjoint quantum-mechanical operator using periodic boundary conditions on applied to wavefuncions in…

Quantum Physics · Physics 2015-03-17 P. Bokes

I show that the MacColl-Hartman effect, namely, the saturation of the group delay time of sub-barrier quantum tunneling as a function of the barrier width, comes from the saturating behavior of a more fundamental concept - the phase of the…

Quantum Physics · Physics 2021-08-09 Atom Zhora Muradyan

Using standard results from statistics, we show that for any continuous quantum system (Gaussian or otherwise) and any observable $\widehat{A}$ (position or otherwise), the distribution $\pi_{a}\left(t\right)$ of time measurement at a fixed…

Quantum Physics · Physics 2024-11-26 Mathieu Beau , Maximilien Barbier , Rafael Martellini , Lionel Martellini

We consider a quantum system driven out of equilibrium via a small Hamiltonian perturbation. Building on the paradigmatic framework of linear response theory (LRT), we derive an expression for the full generating function of the dissipated…

Quantum Physics · Physics 2024-08-28 Giacomo Guarnieri , Jens Eisert , Harry J. D. Miller

We report an innovative model for predicting entanglement distribution between end parties of a quantum network using our in-house simulation algorithm. Our implementation is based on stochastic methods that are built upon a unique global…

Quantum Physics · Physics 2025-09-11 Tasmi R. Ahmed , Fares Nada , Amber Hussain , Connor Kupchak

We develop a general theory of the time distribution of quantum events, applicable to a large class of problems such as arrival time, dwell time and tunneling time. A stopwatch ticks until an awaited event is detected, at which time the…

Quantum Physics · Physics 2021-03-17 Danijel Jurman , Hrvoje Nikolic

We introduce the concept of partial and full tunneling processes to explain the seemingly contradictory non-zero and vanishing tunneling times often reported in the literature. Our analysis starts by considering the traversal time of a…

Quantum Physics · Physics 2024-01-09 Philip Caesar M. Flores , Dean Alvin L. Pablico , Eric A. Galapon
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