Quantum Chaos, Transport, and Control—in Quantum Optics

Madroñero, Javier; Пономарев, А. В.; Carvalho, André; Wimberger, Sandro; Viviescas, Carlos; Kolovsky, Andrey R.; Hornberger, Klaus; Schlagheck, Peter; Krug, Andreas; Buchleitner, Andreas

doi:10.1016/s1049-250x(06)53002-2

Cited by 24 publications

(22 citation statements)

References 167 publications

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“…Mean value and standard deviation of the original diagonal matrix elements: = H 278 and Δ = H 141. an interesting subject for future studies. These inherent hidden symmetries emerge locally in the conformation space of 3D random networks and are, in this respect, reminiscent of local symmetries in complex and/or chaotic quantum systems [18,51,52]. While such local symmetries are typically not given by explicitly defined integrals of motion and therefore are hard to detect, they may nonetheless dramatically impact the systemʼs dynamical properties [51,53].…”

Section: Discussionmentioning

confidence: 99%

“…These inherent hidden symmetries emerge locally in the conformation space of 3D random networks and are, in this respect, reminiscent of local symmetries in complex and/or chaotic quantum systems [18,51,52]. While such local symmetries are typically not given by explicitly defined integrals of motion and therefore are hard to detect, they may nonetheless dramatically impact the systemʼs dynamical properties [51,53]. Beyond the realm of biology, we trust that our findings may inspire new design principles for devices for efficient energy transduction [54], which define another paradigmatic testing ground for truly complex quantum transport.…”

Section: Discussionmentioning

confidence: 99%

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Centrosymmetry enhances quantum transport in disordered molecular networks

et al. 2014

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For more than 50 years we have known that photosynthetic systems harvest solar energy with almost unit quantum efficiency. However, recent experimental evidence of quantum coherence during the excitonic energy transport in photosynthetic organisms challenges our understanding of this fundamental biological function. Currently, and despite numerous efforts, the causal connection between coherence and efficiency is still a matter of debate. We show, through extensive simulations of quantum coherent transport on networks, that three dimensional structures characterized by centro-symmetric Hamiltonians are statistically more efficient than random arrangements. Moreover, a strong correlation of centro-symmetry with quantum efficiency is also observed under the coherent transport dynamics induced by experimentally estimated electronic Hamiltonians of the Fenna-Mathew-Olson complex of sulfur bacteria and of the cryptophyte PC645 complex of marine algae. The application of a genetic algorithm results in a set of optimized Hamiltonians only when seeded from the experimentally estimated Hamiltonian. These results suggest that what appears to be geometrically disordered complexes may well exhibit an inherent hidden symmetry which enhances the energy transport between chromophores. We are confident that our results will motivate research to explore the properties of nearly centro-symmetric Hamiltonians in realistic environments, and to unveil Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. c fs) [13] shorter than the experimentally reported ones ( ∼ t 660 c fs) [5] at T = 77 K. More recent numerical approaches [14,15] appear to reproduce the experimental findings. Yet, since the experimental results were obtained by measurements on ensembles of individually slightly different molecules, the coherence time for a single molecule would actually be expected to be significantly longer (see, e.g., [16,17] for a discussion on this subject), so that, in the light of these diverse observations, the case appears to be open for further debate. One reason being that the complexity of the quantum New J. Phys. 16 (2014) 055002 T Zech et al New J. Phys. 16 (2014) 055002 T Zech et al 3 3Indeed, we will therefore come up here with a deliberately simple and somewhat abstract model, which restricts the Hamiltonian description of the system to a single excitation of the electronic degrees of freedom on a graph-like configuration space. The influence of the-possibly strongly coupled-vibrational degrees of freedom will be accounted for phenomenologically, by statistical sampling over the graph conformation. New J. Phys. 16 (2014) 055002 T Zech et al 4 4 While the isotropic model here employed can be extended to account for different dipolar orientations, weverified that this does not qualitatively change the results presented below (see also [30]). The same is tru...

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Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Centrosymmetry enhances quantum transport in disordered molecular networks

et al. 2014

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“…We therefore need to identify an additional design principle which turns an enhanced probability of efficient transport -as provided by centrosymmetry -into an almost certain event. Inspection of the structures of optimal Hamiltonians generated by a genetic algorithm [46] does not provide any obvious hint, but so does the time evolution of the populations of |in and |out , and of the bulk sites (see This observation implies that random graphs with optimal transport properties exhibit a spectral property which we have labeled dominant doublet [18]: |+ and |− , as in (5), need to be close -in a sense to be quantified a bit further down -to eigenvectors + and − of H + and H − , respectively. Under this condition, the Hamiltonian (4) acquires the following, additional substructure,…”

Section: B Dominant Doubletmentioning

confidence: 99%

Statistical theory of designed quantum transport across disordered networks

et al. 2015

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We explain how centrosymmetry, together with a dominant doublet of energy eigenstates in the local density of states, can guarantee interference-assisted, strongly enhanced, strictly coherent quantum excitation transport between two predefined sites of a random network of two-level systems. Starting from a generalization of the chaos-assisted tunnelling mechanism, we formulate a random matrix theoretical framework for the analytical prediction of the transfer time distribution, of lower bounds of the transfer efficiency, and of the scaling behavior of characteristic statistical properties with the size of the network. We show that these analytical predictions compare well to numerical simulations, using Hamiltonians sampled from the Gaussian orthogonal ensemble.

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“…Theoretical studies [19][20][21][22] suggest that under near-resonantly periodic driving frozen planet states might transform into two-electron nondispersive wave packets, which propagate along the frozen planet trajectory without dispersion.…”

Section: Driven Frozen Planet Statesmentioning

confidence: 99%

“…We pay special attention to particular doubly excited states of helium called frozen planet states (FPS) which are associated with highly correlated classical configurations [17,18]. Under near-resonantly periodic driving, FPS transform into nondispersive two-electron wave packets (NDWP) [19][20][21][22]. That is quantum objects that propagate without dispersion along the classical periodic orbits of frozen planet configuration for long periods of time [22].…”

Section: Introductionmentioning

confidence: 99%

Entanglement measures in doubly excited states and nondispersive wave packets in planar helium

González-Melan

Madroñero

2019

J. Phys. Commun.

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We calculate the amount of entanglement for bound and doubly excited singlet states below the second, third and fourth ionization thresholds in planar helium. Furthermore, we investigate the dynamics of entanglement in nondispersive two-electron wave packets generated by the resonant coupling of frozen planet states of helium. We show that it is possible to obtain a two-electron nondispersive wave packet for which the time-average entanglement is greater than for each of the unperturbed coupled states.

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Quantum Chaos, Transport, and Control—in Quantum Optics

Cited by 24 publications

References 167 publications

Centrosymmetry enhances quantum transport in disordered molecular networks

Centrosymmetry enhances quantum transport in disordered molecular networks

Statistical theory of designed quantum transport across disordered networks

Entanglement measures in doubly excited states and nondispersive wave packets in planar helium

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