Exact Simulation of Pigment-Protein Complexes Unveils Vibronic Renormalization of Electronic Parameters in Ultrafast Spectroscopy

Caycedo-Soler, F.; Mattioni, A.; Lim, J.; Renger, T.; Huelga, S. F.; Plenio, M. B.

doi:10.48550/arxiv.2106.14286

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2022

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“…However, a number of quantum systems arising in solidstate physics [4][5][6][7], quantum optics [8][9][10][11][12] as well as quantum biology and chemistry [13][14][15][16] are not Markovian and the environment's memory needs to be explicitly taken into account. This opens up the question of formulating a mathematically rigorous description of non-Markovian dynamics.…”

Section: Introductionmentioning

confidence: 99%

Description and complexity of Non-markovian open quantum dynamics

Trivedi¹

2022

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In open quantum system theory, unitary groups over system-environment Hilbert space corresponding to deltafunction memory kernels, and thus generating Markovian system dynamics, are specified as the solution of a quantum stochastic differential equation. In this paper, we identify a larger class of non-Markovian memory kernels, described by complex-valued radon measures, and rigorously define their dynamics by constructing system-environment unitary groups corresponding to the memory kernels. We then consider k−local manybody non-Markovian systems and show that under physically reasonable assumptions on the total variation and smoothness of the memory kernels, their dynamics can be efficiently approximated on quantum computers thus providing a rigorous verification of the Extended Church-Turing thesis for non-Markovian open quantum systems.

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Section: Introductionmentioning

confidence: 99%

Description and complexity of Non-markovian open quantum dynamics

Trivedi¹

2022

Preprint

View full text Add to dashboard Cite

show abstract

Exact Simulation of Pigment-Protein Complexes Unveils Vibronic Renormalization of Electronic Parameters in Ultrafast Spectroscopy

Cited by 1 publication

References 86 publications

Description and complexity of Non-markovian open quantum dynamics

Description and complexity of Non-markovian open quantum dynamics

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