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Model-independent simulation complexity of complex quantum dynamics

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Khan, Aiman, Quigley, David, Marcus, Max, Thyrhaug, Erling and Datta, Animesh (2021) Model-independent simulation complexity of complex quantum dynamics. Physical Review Letters, 126 (15). 150402. doi:10.1103/PhysRevLett.126.150402 ISSN 0031-9007.

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Official URL: http://dx.doi.org/10.1103/PhysRevLett.126.150402

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Abstract

We present a model-independent measure of dynamical complexity based on simulation of complex quantum dynamics using stroboscopic Markovian dynamics. Tools from classical signal processing enable us to infer the Hilbert space dimension of the complex quantum system evolving under a time-independent Hamiltonian via pulsed interrogation. We illustrate this using simulated third-order pump-probe spectroscopy data for exciton transport in a toy model of a coupled dimer with vibrational levels, revealing the dimension of the singly excited manifold of the dimer. Finally, we probe the complexity of excitonic transport in light harvesting 2 (LH2) and Fenna-Matthews-Olson (FMO) complexes using data from two recent nonlinear ultrafast optical spectroscopy experiments. For the latter we make model-independent inferences that are commensurate with model-specific ones, including the estimation of the fewest number of parameters needed to fit the experimental data and identifying the spatial extent, i.e., delocalization size, of quantum states participating in this complex quantum dynamics.

Item Type: Journal Article
Subjects: Q Science > QC Physics
Divisions: Faculty of Science, Engineering and Medicine > Science > Physics
Library of Congress Subject Headings (LCSH): Quantum theory, Hamiltonian operator, Hilbert space , Flash photolysis
Journal or Publication Title: Physical Review Letters
Publisher: American Physical Society
ISSN: 0031-9007
Official Date: 14 April 2021
Dates:
DateEvent
14 April 2021Published
11 March 2021Accepted
Volume: 126
Number: 15
Article Number: 150402
DOI: 10.1103/PhysRevLett.126.150402
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
Date of first compliant deposit: 22 April 2021
Date of first compliant Open Access: 23 April 2021
RIOXX Funder/Project Grant:
Project/Grant IDRIOXX Funder NameFunder ID
Chancellor's scholarshipUniversity of Warwickhttp://dx.doi.org/10.13039/501100000741
EP/K04057X/2[EPSRC] Engineering and Physical Sciences Research Councilhttp://dx.doi.org/10.13039/501100000266
EP/P020232/1[EPSRC] Engineering and Physical Sciences Research Councilhttp://dx.doi.org/10.13039/501100000266

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