English
Related papers

Related papers: Efficient calculation of open quantum system dynam…

200 papers

A well-known approach to describe the dynamics of an open quantum system is to compute the master equation evolving the reduced density matrix of the system. This approach plays an important role in describing excitation transfer through…

Quantum Physics · Physics 2022-10-25 Kimara Naicker , Ilya Sinayskiy , Francesco Petruccione

An open quantum system refers to a system that is further coupled to a bath system consisting of surrounding radiation fields, atoms, molecules, or proteins. The bath system is typically modeled by an infinite number of harmonic…

Chemical Physics · Physics 2020-07-10 Yoshitaka Tanimura

Excitonic models of light-harvesting complexes, where the vibrational degrees of freedom are treated as a bath, are commonly used to describe the motion of the electronic excitation through a molecule. Recent experiments point toward the…

Quantum Physics · Physics 2011-07-19 Christoph Kreisbeck , Tobias Kramer , Mirta Rodriguez , Birgit Hein

The hierarchical equations of motion (HEOM) for a generalized quantum dissipative system is rigorously constructed in the frameworks of two different stochastic dynamical descriptions, i.e., the non-Markovian quantum state diffusion…

Quantum Physics · Physics 2018-07-18 Wei Wu

Dissipaton-equation-of-motion (DEOM) theory [Y. J. Yan, J. Chem. Phys. 140, 054105 (2014)] is an exact and nonperturbative many-particle method for open quantum systems. The existing dissipaton algebra treats also the dynamics of hybrid…

Chemical Physics · Physics 2020-01-24 Yao Wang , Rui-Xue Xu , YiJing Yan

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 hierarchical equations of motion (HEOM) theory is one of the standard methods to rigorously describe open quantum dynamics coupled to harmonic environments. Such a model is used to capture non-Markovian and non-perturbative effects of…

Chemical Physics · Physics 2020-06-02 Tatsushi Ikeda , Gregory D. Scholes

The multi-mode anharmonic Brownian motion model provides a universal framework for simulating molecular vibrations in condensed phases. When vibrational energy surpasses thermal excitation, quantum effects become significant, necessitating…

Chemical Physics · Physics 2026-03-18 Ryotaro Hoshino , Yoshitaka Tanimura

The hierarchical equations of motion (HEOM) approach can describe the reduced dynamics of a system simultaneously coupled to multiple bosonic and fermionic environments. The complexity of exactly describing the system-environment…

Time-resolved spectroscopy provides the main tool for analyzing the dynamics of excitonic energy transfer in light-harvesting complexes. To infer time-scales and effective coupling parameters from experimental data requires to develop…

Chemical Physics · Physics 2018-11-28 Tobias Kramer , Mirta Rodriguez , Yaroslav Zelinskyy

Molecular vibrations in solutions, especially OH stretching and bending in water, drive ultrafast energy relaxation and dephasing in chemical and biological systems. We present a machine learning approach for constructing system-bath models…

Chemical Physics · Physics 2026-03-18 Kwanghee Park , Ju-Yeon Jo , Yoshitaka Tanimura

The Hierarchical equations of motion (HEOM) method is an important non-perturbative technique, allowing numerically exact treatment of open quantum systems with strong coupling and non-Markovian memory. However, its encoding of bath memory…

Quantum Physics · Physics 2026-03-25 Po-Rong Lai , Jhen-Dong Lin , Yi-Te Huang , Po-Chen Kuo , Neill Lambert , Yueh-Nan Chen

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

Quantum computing offers promising new avenues for tackling the long-standing challenge of simulating the quantum dynamics of complex chemical systems, particularly open quantum systems coupled to external baths. However, simulating such…

Quantum Physics · Physics 2025-02-20 Xiaohan Dan , Eitan Geva , Victor S. Batista

A nonperturbative quantum impurity solver is proposed based on a formally exact hierarchical equations of motion (HEOM) formalism for open quantum systems. It leads to quantitatively accurate evaluation of physical properties of strongly…

Strongly Correlated Electrons · Physics 2014-08-04 Dong Hou , Rulin Wang , Xiao Zheng , NingHua Tong , JianHua Wei , YiJing Yan

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 dynamics of excitonic energy transfer in molecular complexes triggered by interaction with laser pulses offers a unique window into the underlying physical processes. The absorbed energy moves through the network of interlinked pigments…

Quantum Physics · Physics 2025-12-30 Tobias Kramer

Discretizing a distribution function in a phase space for an efficient quantum dynamics simulation is a non-trivial challenge, in particular for a case that a system is further coupled to environmental degrees of freedom. Such open quantum…

Computational Physics · Physics 2021-12-14 Yuki Iwamoto , Yoshitaka Tanimura

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…

We derive an extended version of the hierarchical equations of motion (HEOM) to compute output physical properties of a bosonic environment, which is allowed to be initially prepared at an earlier time in a non-Gaussian input state and then…

Quantum Physics · Physics 2025-08-15 Mauro Cirio , Pengfei Liang , Neill Lambert
‹ Prev 1 2 3 10 Next ›