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Unitary transformations can allow one to study open quantum systems in situations for which standard, weak-coupling type approximations are not valid. We develop here an extension of the variational (polaron) transformation approach to open…

The reduced dynamics of an open quantum system obtained from an underlying microscopic Hamiltonian can in general only approximately be described by a time local master equation. The quality of that approximation depends primarily on the…

量子物理 · 物理学 2020-01-15 Richard Hartmann , Walter T. Strunz

We study the nature of the energy transfer process within a pair of coupled two-level systems (donor and acceptor) subject to interactions with the surrounding environment. Going beyond a standard weak-coupling approach, we derive a master…

量子物理 · 物理学 2011-04-05 Dara P. S. McCutcheon , Ahsan Nazir

The population transfer dynamics of model donor-bridge-acceptor systems is studied by comparing a recently developed polaron-transformed quantum master equation (PQME) with the well-known Redfield and Forster theories of quantum transport.…

介观与纳米尺度物理 · 物理学 2015-08-12 Seogjoo Jang , Timothy C. Berkelbach , David R. Reichman

We derive equations of motion for the reduced density matrix of a molecular system which undergoes energy transfer dynamics competing with fast internal conversion channels. Environmental degrees of freedom of such a system have no time to…

化学物理 · 物理学 2017-05-24 Joachim Seibt , Tomas Mancal

I investigate energy transfer in a donor-acceptor pair beyond weak system-bath coupling. I identify a transition from coherent to incoherent dynamics with increasing temperature, due to multi-phonon effects not captured by a standard…

介观与纳米尺度物理 · 物理学 2009-10-05 Ahsan Nazir

The rate of energy transfer in donor-acceptor systems can be manipulated via the common interaction with the confined electromagnetic modes of a micro-cavity. We analyze the competition between the near-field short range dipole-dipole…

量子物理 · 物理学 2018-07-27 Michael Reitz , Francesca Mineo , Claudiu Genes

The classical Hamiltonian system of time-dependent harmonic oscillator driven by the arbitrary external time-dependent force is considered. Exact analytical solution of the corresponding equations of motion is constructed in the framework…

可精确求解与可积系统 · 物理学 2015-06-26 A. V. Kuzmin , Marko Robnik

Structure-preserving integrators are in the focus of ongoing research because of their distinguished features of robustness and long time stability. In particular, their formulation for coupled problems that include dissipative mechanisms…

计算物理 · 物理学 2023-06-21 Dominik Kern , Ignacio Romero , Sergio Conde Martin , Juan Carlos Garcia-Orden

We study the unitary time evolution of a simple quantum Hamiltonian describing two harmonic oscillators coupled via a three-level system. The latter acts as an engine transferring energy from one oscillator to the other and is driven in a…

量子物理 · 物理学 2015-04-01 Winny O'Kelly de Galway , Jan Naudts

We formulate the weak intramolecular coupling F\"orster resonance energy transfer theory in a form suitable for calculating ultrafast nonlinear response of molecular systems. We introduce a formally exact time-dependent factorization of the…

We present here a formally exact model for electronic transitions between an initial (donor) and final (acceptor) states linked by an intermediate (bridge) state. Our model incorporates a common set of vibrational modes that are coupled to…

材料科学 · 物理学 2016-03-28 E. R. Bittner

Time-dependent currents in molecular junctions can be caused by structural fluctuations or interaction with external fields. In this publication, we demonstrate how the hierarchical quantum master equation approach can be used to study…

介观与纳米尺度物理 · 物理学 2019-03-27 Andre Erpenbeck , Lukas Götzendörfer , Christian Schinabeck , Michael Thoss

This paper presents a generalized energy-based modeling framework extending recent formulations tailored for differential-algebraic equations. The proposed structure, inspired by the port-Hamiltonian formalism, ensures passivity, preserves…

We present a theoretical method to generate a highly accurate {\em time-independent} Hamiltonian governing the finite-time behavior of a time-periodic system. The method exploits infinitesimal unitary transformation steps, from which…

统计力学 · 物理学 2019-05-30 Michael Vogl , Pontus Laurell , Aaron D. Barr , Gregory A. Fiete

We introduce a mathematically rigorous analysis of a generalized spin-boson system for the treatment of a donor-acceptor (reactant-product) quantum system coupled to a thermal quantum noise. The donor/acceptor probability dynamics describes…

数学物理 · 物理学 2012-09-05 Marco Merkli , Gennady Berman , Richard Sayre

Transient stability is crucial to the reliable operation of power systems. Existing theories rely on the simplified electromechanical models, substituting the detailed electromagnetic dynamics of inductor and capacitor with their impedance…

系统与控制 · 电气工程与系统科学 2025-02-17 Xinyuan Jiang , Constantino M. Lagoa , Yan Li

We develop a technique for finding the dynamical evolution in time of an averaged density matrix. The result is an equation of evolution that includes an Effective Hamiltonian, as well as decoherence terms in Lindblad form. Applying the…

量子物理 · 物理学 2013-03-28 Omar Gamel , Daniel F. V. James

A Hamiltonian based approach using spatially localized projection operators is introduced to give precise meaning to the chemically intuitive idea of the electronic energy on a quantum subsystem. This definition facilitates the study of…

量子物理 · 物理学 2015-06-11 Yaser R. Khan , Paul Brumer

By using projection superoperators, we present a new derivation of the quantum master equation first obtained by the Authors in Phys. Rev. E {\bf 68}, 066112 (2003). We show that this equation describes the dynamics of a subsystem weakly…

统计力学 · 物理学 2010-03-01 Massimiliano Esposito , Pierre Gaspard
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