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One of the approaches used to solve for the dynamics of open quantum systems is the hierarchical equations of motion (HEOM). Although it is numerically exact, this method requires immense computational resources to solve. The objective here…

Quantum Physics · Physics 2022-10-28 Kimara Naicker , Ilya Sinayskiy , Francesco Petruccione

The Wigner-Weisskopf-type model developed in [R. Alicki and F. Giraldi, J. Phys. B {\bf 44}, 154020 (2011)] is applied to the biological process of energy transfer from a large peripheral light harvesting antenna to the reaction center.…

Quantum Physics · Physics 2016-08-14 Robert Alicki , Wiesław Miklaszewski

We unite two of the most widely used approaches for strongly damped, non-Markovian open quantum dynamics, the Hierarchical Equations of Motion (HEOM) and the pseudomode method by proving two statements: First, every physical bath…

Quantum Physics · Physics 2026-04-09 Kai Müller , Walter T. Strunz

The electronic excitation population and coherence dynamics in the chromophores of the photosynthetic light harvesting complex 2 (LH2) B850 ring from purple bacteria (Rhodopseudomonas acidophila) have been studied theoretically at both…

Chemical Physics · Physics 2012-08-29 Shu-Hao Yeh , Jing Zhu , Sabre Kais

We investigate the effect of coherence to the excitation transfer efficiency (ETE) in photosynthetic bacteria Chlorobium Tepidum. We have modeled the monomer of Fenna-Matthews-Olson (FMO) complex as consisting of eight bacteriochlorophyll-a…

Biological Physics · Physics 2018-01-26 Davinder Singh , Shubhrangshu Dasgupta

A non-trivial interplay between quantum coherence and dissipative environment-driven dynamics is becoming increasingly recognised as key for efficient energy transport in photosynthetic pigment-protein complexes, and converting these…

Quantum Physics · Physics 2013-03-19 M. del Rey , A. W. Chin , S. F. Huelga , M. B. Plenio

The hierarchical equations of motion (HEOM) approach is an accurate method to simulate open system quantum dynamics, which allows for systematic convergence to numerically exact results. To represent the effects of the bath, the reservoir…

Strongly Correlated Electrons · Physics 2023-05-31 Xiaohan Dan , Meng Xu , J. T. Stockburger , J. Ankerhold , Qiang Shi

We theoretically show that the initial coherence plays a crucial role in enhancing the speed of excitation energy transfer (EET) in Fenna-Matthews-Olson (FMO) complex. We choose a simplistic eight-level model considering all the…

Biological Physics · Physics 2017-09-25 Davinder Singh , Shubhrangshu Dasgupta

Studies of quantum thermal effects on molecular excitation dynamics have often relied on oversimplified models, such as energy eigenstates or low-dimensional potentials, which fail to capture the complexity of real chemical systems. In…

Chemical Physics · Physics 2025-12-30 Yankai Zhang , Yoshitaka Tanimura , So Hirata

For more than 50 years we have known that photosynthetic systems harvest solar energy with almost unit {\it quantum efficiency}. However, recent experimental evidence of {\it quantum coherence} during the excitonic energy transport in…

Biological Physics · Physics 2012-05-25 Tobias Zech , Roberto Mulet , Thomas Wellens , Andreas Buchleitner

Collective protein modes are expected to be important for facilitating energy transfer in the Fenna-Matthews-Olson (FMO) complex, however to date little work has focussed on the microscopic details of these vibrations. The nonlinear network…

Biological Physics · Physics 2016-07-07 Sarah E Morgan , Daniel J Cole , Alex W Chin

The hierarchical equations of motion (HEOM), derived from the exact Feynman-Vernon path integral, is one of the most powerful numerical methods to simulate the dynamics of open quantum systems that are embedded in thermal environments.…

Quantum Physics · Physics 2025-10-07 Meng Xu , Yaming Yan , Qiang Shi , J. Ankerhold , J. T. Stockburger

We study a large number of physically-plausible arrangements of chromophores, generated via a computational method involving stochastic real-space transformations of a naturally occurring `reference' structure, illustrating our methodology…

Chemical Physics · Physics 2017-05-23 George C. Knee , Patrick Rowe , Luke D. Smith , Alessandro Troisi , Animesh Datta

Over the last two decades, the hierarchical equations of motion (HEOM) of Tanimura and Kubo have become the equation of motion-based tool for numerically exact calculations of system-bath problems. The HEOM is today generalized to many…

Quantum Physics · Physics 2023-05-15 Robert Fuchs , Marten Richter

The "hierarchical equations of motion" (HEOM) method is a powerful exact numerical approach to solve the dynamics and find the steady-state of a quantum system coupled to a non-Markovian and non-perturbative environment. Originally…

Photosynthetic antenna complexes are responsible for absorbing energy from sunlight and transmitting it to remote locations where it can be stored. Recent experiments have found that this process involves long-lived quantum coherence…

Atomic Physics · Physics 2011-08-29 Zachary B. Walters

Many biological electron transfer (ET) reactions are mediated by metal centres in proteins. NADH:ubiquinone oxidoreductase (complex I) contains an intramolecular chain of seven iron-sulphur (FeS) clusters, one of the longest chains of metal…

Biomolecules · Quantitative Biology 2011-11-09 Ross Dorner , John Goold , Libby Heaney , Tristan Farrow , Philippa G. Roberts , Judy Hirst , Vlatko Vedral

We analyze the exciton dynamics in PhotosystemI from Thermosynechococcus elongatus using the distributed memory implementation of the hierarchical equation of motion (DM-HEOM) for the 96 Chlorophylls in the monomeric unit. The…

In the theory of open quantum systems, spectral densities are key quantities for modeling the dynamics and spectroscopic properties of the system under investigation. In the case of light-harvesting complexes, they encode the…

Chemical Physics · Physics 2026-04-29 Sayan Maity , Tristan A. Mauck , Ulrich Kleinekathöfer

The hierarchical equations of motion technique has found widespread success as a tool to generate the numerically exact dynamics of non-Markovian open quantum systems. However, its application to low temperature environments remains a…

Chemical Physics · Physics 2013-10-15 Jeremy M. Moix , Jianshu Cao