Conference on Lasers and Electro-Optics

Upper Bound on the Duration of Quantum Jumps

Mathias Alexander Seidler, Alessandro Ceré, R. Gutiérrez-Jáuregui, Rocío Jáuregui, Christian Kurtsiefer

Published May 5, 2019• 0 citations

Abstract

We estimate the time scale of quantum jumps from the time correlation of photon pairs generated from a cascade decay in a cold cloud of 87Rb. We find an upper bound of $21\pm 11$ ps. © 2019 The Author(s)

DOI: 10.23919/cleo.2019.8750439

Related papers

Upper bound on the duration of quantum jumps

Mathias Alexander Seidler, Ricardo Guti\'errez-J\'auregui, Alessandro Cer\`e +2 more

We present a method to estimate the time scale of quantum jumps from the time correlation of photon pairs generated from a cascade decay in an atomic system, and realize it experimentally in a cold cloud of 87Rb. Taking into account the photodetector response, we find an upper bound for the duration of a quantum jump of 21+/-11 ps.

arXiv:1812.00129Dec 1, 20180 citations

Quantum jump time estimation from FWM in cold 87Rb

Alessandro Ceré

Data and analysis for the results presented in M. A. Seidler, R. Gutiérrez-Jáuregui, A. Cerè, R. Jáuregui, and C. Kurtsiefer, arXiv:1812.00129 (2018). We present a method to estimate the time scale of quantum jumps from the time correlation of photon pairs generated from a cascade decay in an atomic system, and realize it experimentally in a cold cloud of 87Rb. Taking into account the photodetector response, we find an upper bound for the duration of a quantum jump of 21 ± 11 ps.

Dec 5, 20180 citations

Upper Bound on the Duration of Quantum Jumps

Mathias Alexander Seidler, Alessandro Ceré, R. Gutiérrez-Jáuregui +2 more

Conference on Lasers and Electro-OpticsJan 1, 20190 citations

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

Lawrence S. Schulman

arXiv:quant-ph/0103151Mar 27, 20010 citations

Polarization entanglement and quantum beats of photon pairs from four-wave mixing in a cold 87 Rb ensemble

Gurpreet Kaur Gulati, Bharath Srivathsan, Brenda Chng +2 more

We characterize correlations in polarization and time of photon pairs generated from a cold cloud of 87 Rb atoms via a four-wave mixing process in a cascade level scheme. Quantum state tomography reveals entangled polarization states of high purity for each of the decay paths through two different intermediate hyperfine levels. When allowing both decay paths, we observe quantum beats in time-resolved correlation measurements.

arXiv:1505.05606New Journal of PhysicsSep 18, 201529 citations

Jump time in Landau-Zener tunneling

Lawrence S. Schulman

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

Physical Review AAug 1, 19986 citations

Conference on Lasers and Electro-Optics

Upper Bound on the Duration of Quantum Jumps

Mathias Alexander Seidler, Alessandro Ceré, R. Gutiérrez-Jáuregui, Rocío Jáuregui, Christian Kurtsiefer

Published May 5, 2019• 0 citations

Publisher

Abstract

We estimate the time scale of quantum jumps from the time correlation of photon pairs generated from a cascade decay in a cold cloud of 87Rb. We find an upper bound of

21\pm 11

DOI: 10.23919/cleo.2019.8750439

Related papers

Upper bound on the duration of quantum jumps

Mathias Alexander Seidler, Ricardo Guti\'errez-J\'auregui, Alessandro Cer\`e +2 more

arXiv:1812.00129Dec 1, 20180 citations

Quantum jump time estimation from FWM in cold 87Rb

Alessandro Ceré

Dec 5, 20180 citations

Upper Bound on the Duration of Quantum Jumps

Mathias Alexander Seidler, Alessandro Ceré, R. Gutiérrez-Jáuregui +2 more

Get PDF Email Share Share with Facebook Tweet This Post on reddit Share with LinkedIn Add to CiteULike Add to Mendeley Add to BibSonomy Get Citation Copy Citation Text M. A. Seidler, A. Cerè, R. Gutiérrez-Jáuregui, R. Jáuregui, and C. Kurtsiefer, "Upper Bound on the Duration of Quantum Jumps," in Conference on Lasers and Electro-Optics, OSA Technical Digest (Optica Publishing Group, 2019), paper JTu2A.24. Export Citation BibTex Endnote (RIS) HTML Plain Text Citation alert Save articleGet PDF Email Share Share with Facebook Tweet This Post on reddit Share with LinkedIn Add to CiteULike Add to Mendeley Add to BibSonomy Get Citation Copy Citation Text M. A. Seidler, A. Cerè, R. Gutiérrez-Jáuregui, R. Jáuregui, and C. Kurtsiefer, "Upper Bound on the Duration of Quantum Jumps," in Conference on Lasers and Electro-Optics, OSA Technical Digest (Optica Publishing Group, 2019), paper JTu2A.24. Export Citation BibTex Endnote (RIS) HTML Plain Text Citation alert Save article

Conference on Lasers and Electro-OpticsJan 1, 20190 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.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/0103151Mar 27, 20010 citations

Polarization entanglement and quantum beats of photon pairs from four-wave mixing in a cold 87 Rb ensemble

Gurpreet Kaur Gulati, Bharath Srivathsan, Brenda Chng +2 more

arXiv:1505.05606New Journal of PhysicsSep 18, 201529 citations

Jump time in Landau-Zener tunneling

Lawrence S. Schulman

Physical Review AAug 1, 19986 citations

We estimate the time scale of quantum jumps from the time correlation of photon pairs generated from a cascade decay in a cold cloud of 87Rb. We find an upper bound of

21\pm 11

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.