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A quantitative theory of coherent delocalization

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A quantitative theory of coherent delocalization
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Abstract
We define a quantitative measure of coherent delocalization; similarly to the concept of entanglement measures, we require that a measure of coherent delocalization may never increase under processes that do not create coherent superpositions. After a complete characterization of such processes, we prove that a set of recently introduced functions that characterize coherent delocalization never grow under such processes and thus are indeed valid measures.
NiederspannungsnetzOptische KohärenzElementarteilchenphysikGleitlagerVideotechnikComputeranimation
SiebdruckWarmumformenFeldquantPhotonikSource <Elektronik>SchmiedenDrehmassePhototechnikVorlesung/Konferenz
SonnenstrahlungAngeregter ZustandVorlesung/Konferenz
PhotonAngeregter ZustandEisenbahnbetriebTelefonVorlesung/Konferenz
PhotonikNivellierlatteFeldquantKalenderjahrSiebdruck
Kalenderjahr
PhotonWechselstromgeneratorPatrone <Munition>
PhotonInterferenzerscheinungFeldstärkeBlei-209Diagramm
Patrone <Munition>PhotonAngeregter ZustandDiagramm
DrechselnErsatzteilPatrone <Munition>InterferenzerscheinungKalenderjahrOptische KohärenzInterferometrieAngeregter ZustandRauschsignalÜbertragungsverhaltenWechselstromgeneratorFeldquantLuftstromVorlesung/Konferenz
Optische KohärenzBlatt <Papier>Besprechung/Interview
MessungSatz <Drucktechnik>ÜbertragungsverhaltenProzessleittechnikOptische KohärenzBesprechung/Interview
Optische KohärenzBesprechung/Interview
Transkript: Englisch(automatisch erzeugt)
Hello, I'm Federico Levi from Freias Unifier World, and let me tell you something about our work on quantum coordinates. Here on the white board behind me there are sketches of two different physical systems. The first one is a multi-slit experiment where now we have a source of photons.
These photons are crossing a multi-slit grating and then impinge on a screen. Here this is a sketch of a pigment-protein complex where these tiny items are chlorophylls and this chlorophyll wired the excitation which has been absorbed from sunlight from the input side of this protein to the output side.
These two are very different systems but they both feature the same phenomena, which is transport. Here it's photon transport, here it's excitation transport. One can then imagine many other examples of physical systems with transport, which will all be described by the same formal framework.
Classically, the photons can take either of these paths with a certain definite probability. This will give rise on the screen to a smooth probability to find the photons at a given position. On the other hand, quantum laws allow for the superposition of different paths
as the ones depicted in red in our sketch. If this is the case, then we would refer to this situation as the photon is coherently delocalized over two path alternatives in our system. In this case, one would see an emergence of an interference pattern on the screen, the red one here.
With respect to the classical one, which is the green one, this interference pattern may lead to an enhancement of the probability to find a photon in a spot or to a suppression. The strength of this enhancement or suppression strongly depends on the number of paths
where our photon is coherently delocalized over. For instance, if the photon were exploring four paths at the same time coherently, then we would have a much stronger enhancement than in the case of just two of them. All these concepts can be translated into the pigment-protein complex example
because here we have the excitation which crosses this protein following a certain path. Different path alternatives can then interfere in the presence of quantum coherence. This would give rise to the same interference we have seen for the interferometer
and this in turn influences the probability by enhancing or suppressing it the probability that the excitation is successfully transported through the protein. This is all for the case of a perfectly coherent evolution, but in reality one has to deal with noise.
Noise tends to decrease quantum coherence and therefore smears out this enhancement or suppression of the transfer probability we have been discussing. Therefore, in reality one has to deal with an interplay between the coherent delocalization originating from quantum coherence and the incoherent delocalization which arises from noise.
This interplay crucially influences the transport dynamics and it would be therefore highly desirable to be able to quantify and distinguish these contributions. And this is exactly the objective of our paper.
There we introduce a quantitative theory of coherent delocalization. This allows us to define a set of measures which we can use to characterize the coherence properties in transfer processes. Thank you.