Model-Independent Simulation Complexity of Complex Quantum Dynamics

Aiman Khan, David Quigley, Max Marcus, Erling Thyrhaug, and Animesh Datta
Phys. Rev. Lett. 126, 150402 – Published 14 April 2021
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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.

  • Figure
  • Received 25 October 2020
  • Accepted 11 March 2021

DOI:https://doi.org/10.1103/PhysRevLett.126.150402

© 2021 American Physical Society

Physics Subject Headings (PhySH)

Physics of Living SystemsQuantum Information, Science & TechnologyAtomic, Molecular & Optical

Authors & Affiliations

Aiman Khan1,*, David Quigley1, Max Marcus2, Erling Thyrhaug3, and Animesh Datta1,†

  • 1Department of Physics, University of Warwick, Coventry CV4 7AL, United Kingdom
  • 2Physical & Theoretical Chemistry Laboratory, Department of Chemistry, University of Oxford, Oxford OX1 3QZ, United Kingdom
  • 3Dynamical Spectroscopy, Department of Chemistry, Technical University of Munich, 85748 Garching, Germany

  • *aiman.khan@warwick.ac.uk
  • animesh.datta@warwick.ac.uk

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Issue

Vol. 126, Iss. 15 — 16 April 2021

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