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We derive an exact master equation that captures the dynamics of a quadratic quantum system linearly coupled to a Gaussian environment of the same statistics: the Gaussian Master Equation (GME). Unlike previous approaches, our formulation…

Quantum Physics · Physics 2026-01-21 Antonio D'Abbruzzo , Vittorio Giovannetti , Vasco Cavina

A quantum master equation (QME) is derived for the many-body density matrix of an open current-carrying system weakly coupled to two metal leads. The dynamics and the steady-state properties of the system for arbitrary bias are studied…

Statistical Mechanics · Physics 2016-08-31 Upendra Harbola , Massimiliano Esposito , Shaul Mukamel

We recall theoretical studies on transient transport through interacting mesoscopic systems. It is shown that a generalized master equation (GME) written and solved in terms of many-body states provides the suitable formal framework to…

Mesoscale and Nanoscale Physics · Physics 2019-08-02 Valeriu Moldoveanu , Andrei Manolescu , Vidar Gudmundsson

We discuss methods for numerically solving the generalized Master equation GME which governs the time-evolution of the reduced density matrix of a mechanically movable mesoscopic device in a dissipative environment. As a specific example,…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Antti-Pekka Jauho , Tomas Novotny , Andrea Donarini , Christian Flindt

Transport of electrons through two-dimensional semiconductor structures on the nanoscale in the presence of perpendicular magnetic field depends on the interplay of geometry of the system, the leads, and the magnetic length. We use a…

Mesoscale and Nanoscale Physics · Physics 2012-03-15 Vidar Gudmundsson , Chi-Shung Tang , Cosmin Mihai Gainar , Valeriu Moldoveanu , Andrei Manolescu

Motivated by a range of biological applications related to the transport of molecules in cells, we present a modular framework to treat first-passage problems for diffusion in partitioned spaces. The spatial domains can differ with respect…

Statistical Mechanics · Physics 2021-04-28 Daniela Frömberg , Felix Höfling

We propose a self-consistent generalized quantum master equation (GQME) to describe electron transport through molecular junctions. In a previous study [M.Esposito and M.Galperin. Phys. Rev. B 79, 205303 (2009)], we derived a time-nonlocal…

Mesoscale and Nanoscale Physics · Physics 2011-05-31 Massimiliano Esposito , Michael Galperin

Methods derived from the generalized quantum master equation (GQME) framework have provided the basis for elucidating energy and charge transfer in systems ranging from molecular solids to photosynthetic complexes. Recently, the…

Chemical Physics · Physics 2019-07-24 William C. Pfalzgraff , Andrés Montoya Castillo , Aaron Kelly , Thomas E. Markland

Generalized master equations (GMEs) -- time-local but generally neither trace-preserving nor Hermiticity-preserving -- are convenient tools to compute properties of the environment of an open or continuously monitored quantum system. A…

Quantum Physics · Physics 2026-02-27 Francesco Albarelli , Marco G. Genoni

We develop a quantum scattering model to describe the exciton transport through the Fenna-Matthews-Olson(FMO) complex. It is found that the exciton transport involved the optimal quantum coherence is more efficient than that involved…

Biomolecules · Quantitative Biology 2016-12-28 Bao-quan Ai , Shi-liang Zhu

A fully quantum multiphonon up-pumping model is proposed to characterize coherent energy transfer in energetic materials (EMs) subjected to external shock. After eliminating the degrees of freedom of the phonon bath within a mean-field…

Quantum Physics · Physics 2026-05-20 Jiong Cheng , Yanqiang Yang , Wenlin Li , Xun Li

Multitime quantum correlation functions are central objects in physical science, offering a direct link between experimental observables and the dynamics of an underlying model. While experiments such as 2D spectroscopy and quantum control…

Chemical Physics · Physics 2024-07-10 Thomas Sayer , Andrés Montoya-Castillo

We investigate the relevance of dynamic quantum coherence in the energy transfer efficiency of molecular aggregates. We contrast the dynamics after excitation of a quantum mechanical system with that of a classical system. We demonstrate…

Biological Physics · Physics 2015-01-08 Aurélia Chenu , Pavel Malý , Tomáš Mančal

Dynamical systems in the life sciences are often composed of complex mixtures of overlapping behavioral regimes. Cellular subpopulations may shift from cycling to equilibrium dynamics or branch towards different developmental fates. The…

Machine Learning · Computer Science 2025-10-13 Nathan Quiblier , Roy Friedman , Matthew Ricci

We consider a molecular aggregate consisting of $N$ identical monomers. Each monomer comprises two electronic levels and a single harmonic mode. The monomers interact with each other via dipole-dipole forces. The monomer vibrational modes…

Statistical Mechanics · Physics 2012-04-12 Maxim F. Gelin , Dassia Egorova , Wolfgang Domcke

The technique of density matrix equation (DME) for a small system interacting with a bath is explained in detail. Special attention is given to the nonsecular DME that is needed in the vicinity of overdamped tunnelling resonances in…

Statistical Mechanics · Physics 2012-02-22 D. A. Garanin

The on-demand selective population transfer between states in multilevel quantum systems is a challenging problem with implications for a wide-range of physical platforms including photon and exciton-polariton Bose- Einstein condensates…

In this Article we perform a systematic study of the global entanglement and exciton coherence length dynamics coherence in natural light-harvesting system Fenna-Matthews-Olson (FMO) complex across various parameters of a dissipative…

Quantum Physics · Physics 2024-06-18 Luis E. Herrera Rodríguez , Alexei A. Kananenka

Underlying physical principles for the high efficiency of excitation energy transfer in light-harvesting complexes are not fully understood. Notably, the degree of robustness of these systems for transporting energy is not known considering…

Quantum Physics · Physics 2015-03-19 Masoud Mohseni , Alireza Shabani , Seth Lloyd , Herschel Rabitz

We present a detailed theoretical study of the transfer of electronic excitation energy through the Fenna-Matthews-Olson (FMO) pigment-protein complex, using the new developed modified scaled hierarchical approach [Shi Q. et al, J Chem Phys…

Chemical Physics · Physics 2011-03-17 Jing Zhu , Sabre Kais , Patrick Rebentrost , Alán Aspuru-Guzik
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