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High Resolution non-Markovianity in NMR

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ABSTRACT

Memoryless time evolutions are ubiquitous in nature but often correspond to a resolution-induced approximation, i.e. there are correlations in time whose effects are undetectable. Recent advances in the dynamical control of small quantum systems provide the ideal scenario to probe some of these effects. Here we experimentally demonstrate the precise induction of memory effects on the evolution of a quantum coin (qubit) by correlations engineered in its environment. In particular, we design a collisional model in Nuclear Magnetic Resonance (NMR) and precisely control the strength of the effects by changing the degree of correlation in the environment and its time of interaction with the qubit. We also show how these effects can be hidden by the limited resolution of the measurements performed on the qubit. The experiment reinforces NMR as a test bed for the study of open quantum systems and the simulation of their classical counterparts.

No MeSH data available.


Table of (ω0k − ωr)/(2π) in the main diagonal elements and  as the other elements, all values are given in Hz.
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f3: Table of (ω0k − ωr)/(2π) in the main diagonal elements and as the other elements, all values are given in Hz.

Mentions: where ω0n and ωr are the natural resonance frequency and the frequency of the rotating reference frame of the n-th spin, is the z-component of the spin angular moment of nucleus n. The second term represents the interaction - being the exchange integral - between the three spins. Figure 3 shows the values of (ω0n − ωr) and .


High Resolution non-Markovianity in NMR
Table of (ω0k − ωr)/(2π) in the main diagonal elements and  as the other elements, all values are given in Hz.
© Copyright Policy - open-access
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC5037399&req=5

f3: Table of (ω0k − ωr)/(2π) in the main diagonal elements and as the other elements, all values are given in Hz.
Mentions: where ω0n and ωr are the natural resonance frequency and the frequency of the rotating reference frame of the n-th spin, is the z-component of the spin angular moment of nucleus n. The second term represents the interaction - being the exchange integral - between the three spins. Figure 3 shows the values of (ω0n − ωr) and .

View Article: PubMed Central - PubMed

ABSTRACT

Memoryless time evolutions are ubiquitous in nature but often correspond to a resolution-induced approximation, i.e. there are correlations in time whose effects are undetectable. Recent advances in the dynamical control of small quantum systems provide the ideal scenario to probe some of these effects. Here we experimentally demonstrate the precise induction of memory effects on the evolution of a quantum coin (qubit) by correlations engineered in its environment. In particular, we design a collisional model in Nuclear Magnetic Resonance (NMR) and precisely control the strength of the effects by changing the degree of correlation in the environment and its time of interaction with the qubit. We also show how these effects can be hidden by the limited resolution of the measurements performed on the qubit. The experiment reinforces NMR as a test bed for the study of open quantum systems and the simulation of their classical counterparts.

No MeSH data available.