Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Physical Review A

Jump time in Landau-Zener tunneling

Lawrence S. Schulman

Published Aug 1, 1998• 6 citations
Publisher

Abstract

An estimate of the duration of the period of nonexponential decay is made for a recent experiment. It is based on a general definition of “jump time.”Received 21 January 1998DOI:https://doi.org/10.1103/PhysRevA.58.1595©1998 American Physical Society

DOI
10.1103/physreva.58.1595

Related papers

Criterion for nonexponential decay

Jorge Berger, S. G. Eckstein

A quasistationary state is found to have nonexponential decay when its parameters are close to the threshold for the opening of an additional decay channel.Received 7 October 1981DOI:https://doi.org/10.1103/PhysRevA.26.1226©1982 American Physical Society

Physical Review A•Sep 1, 1982•5 citations

Jump Time and Passage Time: The Duration ofs a Quantum Transition

Lawrence S. Schulman

Springer eBooks•Nov 29, 2007•20 citations

Jump Time and Passage Time: The Duration of a Quantum Transition

Lawrence S. Schulman

Springer eBooks•Aug 3, 2007•8 citations

Publisher’s Note: Quantum computers: Definition and implementations [Phys. Rev. A83, 012303 (2011)]

Carlos A. Pérez-Delgado, Pieter Kok

Received 28 January 2011DOI:https://doi.org/10.1103/PhysRevA.83.029903©2011 American Physical Society

Physical Review A•Feb 16, 2011•5 citations

Identical motion in classical and quantum mechanics

Adam J. Makowski, S. Konkel

General formulas are found for potentials that lead to the same motions in both classical and quantum mechanics. A class of time-dependent potentials with the above property is also discussed.Received 15 May 1998DOI:https://doi.org/10.1103/PhysRevA.58.4975©1998 American Physical Society

Physical Review A•Dec 1, 1998•20 citations

Jump time and passage time: the duration of a quantum transition

Lawrence S. Schulman

Under unitary evolution, systems move gradually from state to state. An unstable atom has amplitude in its original state after many lifetimes ($τ_L$). But in the laboratory, transitions seem to go instantaneously, as suggested by the term "quantum jump." The problem studied here is whether the "jump" can be assigned a duration, in theory and in experiment. Two characteristic times are defined, jump time ($τ_J$) and passage time ($τ_P$). Both use Zeno time, $τ_Z$, defined in terms of $H$ and its initial state as $τ_Z \equiv \hbar/\sqrt{}$, with $E_ψ\equiv $. $τ_J$ is defined in terms of the time needed to slow (à la the quantum Zeno effect) the decay: $τ_J \equiv τ_Z^2/τ_L$. It appears in several contexts. It is related to tunneling time in barrier penetration. Its inverse is the bandwidth of the Hamiltonian, in a time-energy uncertainty principle. $τ_J$ is also an indicator of the duration of the quadratic decay regime in both experiment and in numerical calculations (cf. Fig.~2 of PRA 57,1509 (1998).) The passage time, $τ_P$, arises from unitary evolution sans interpretation. It is based on a bound of Fleming (Nuov. Cim. 16 A, 232 (1973)): for any $H$ and $ψ$ a system cannot evolve to a state orthogonal to $ψ$ for $t< τ_P \equiv πτ_Z/2$. By including apparatus in $H$, $τ_P$ limits the observation of decay according to the quantum measurement ideas proposed in "Time's Arrows and Quantum Measurement," Cambridge U. Press, 1997, thereby allowing an experimental test of these ideas.

arXiv:quant-ph/0103151•Mar 27, 2001•0 citations
An estimate of the duration of the period of nonexponential decay is made for a recent experiment. It is based on a general definition of “jump time.”Received 21 January 1998DOI:https://doi.org/10.1103/PhysRevA.58.1595©1998 American Physical Society
Under unitary evolution, systems move gradually from state to state. An unstable atom has amplitude in its original state after many lifetimes (τLτ_LτL​). But in the laboratory, transitions seem to go instantaneously, as suggested by the term "quantum jump." The problem studied here is whether the "jump" can be assigned a duration, in theory and in experiment. Two characteristic times are defined, jump time (τJτ_JτJ​) and passage time (τPτ_PτP​). Both use Zeno time, τZτ_ZτZ​, defined in terms of HHH and its initial state as τZ≡ℏ/τ_Z \equiv \hbar/\sqrt{}τZ​≡ℏ/​, with $E_ψ\equiv $. τJτ_JτJ​ is defined in terms of the time needed to slow (à la the quantum Zeno effect) the decay: τJ≡τZ2/τLτ_J \equiv τ_Z^2/τ_LτJ​≡τZ2​/τL​. It appears in several contexts. It is related to tunneling time in barrier penetration. Its inverse is the bandwidth of the Hamiltonian, in a time-energy uncertainty principle. τJτ_JτJ​ is also an indicator of the duration of the quadratic decay regime in both experiment and in numerical calculations (cf. Fig.~2 of PRA 57,1509 (1998).) The passage time, τPτ_PτP​, arises from unitary evolution sans interpretation. It is based on a bound of Fleming (Nuov. Cim. 16 A, 232 (1973)): for any HHH and ψψψ a system cannot evolve to a state orthogonal to ψψψ for t<τP≡πτZ/2t< τ_P \equiv πτ_Z/2t<τP​≡πτZ​/2. By including apparatus in HHH, τPτ_PτP​ limits the observation of decay according to the quantum measurement ideas proposed in "Time's Arrows and Quantum Measurement," Cambridge U. Press, 1997, thereby allowing an experimental test of these ideas.