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The time-convolutionless (TCL) projection operator technique allows a systematic analysis of the non-Markovian quantum dynamics of open systems. We introduce a class of projection superoperators which project the states of the total system…

量子物理 · 物理学 2007-05-23 Heinz-Peter Breuer , Jochen Gemmer , Mathias Michel

The non-Markovian dynamics of an open quantum system can be rigorously derived using the Feynman-Vernon influence functional approach. Although this formalism is exact, practical numerical implementations often require compromises. The…

量子物理 · 物理学 2025-01-09 Jiahao Chen , Elyana Crowder , Lian Xiang , Dragomir Davidovic

By using a correlated projection operator, the time-convolutionless (TCL) method to derive a quantum master equation can be utilized to investigate the transport behavior of quantum systems as well. Here, we analyze a three-dimensional…

量子物理 · 物理学 2008-01-18 Hendrik Weimer , Mathias Michel , Jochen Gemmer , Günter Mahler

The dynamics of an open quantum system is usually studied by performing a weak-coupling and weak-correlation expansion in the system-bath interaction. For systems exhibiting strong couplings and highly non-Markovian behavior this approach…

量子物理 · 物理学 2010-12-27 Jan Fischer , Heinz-Peter Breuer

We explore the performance of the time-convolutionless (TCL) projection operator technique using the Fano-Anderson model as a test case. Comparing the exact TCL master equation with an expansion in powers of the strength of the…

量子物理 · 物理学 2026-04-27 Tim Alhäuser , Heinz-Peter Breuer

We discuss the time-convolutionless (TCL) projection operator approach to transport in closed quantum systems. The projection onto local densities of quantities such as energy, magnetization, particle number, etc. yields the reduced…

统计力学 · 物理学 2009-05-26 Robin Steinigeweg , Jochen Gemmer , Heinz-Peter Breuer , Heinz-Juergen Schmidt

The time-convolutionless (TCL) quantum master equation provides a powerful tool to simulate reduced dynamics of a quantum system coupled to a bath. The key quantity in the TCL master equation is the so-called kernel or generator, which…

量子物理 · 物理学 2018-10-17 Yanying Liu , Yaming Yan , Meng Xu , Kai Song , Qiang Shi

The spin-boson model is a widely used model for understanding the properties of a two-level open quantum system. Accurately describing its dynamics often requires going beyond the weak system-environment coupling approximation. However,…

量子物理 · 物理学 2025-06-23 Prem Kumar , K. P. Athulya , Sibasish Ghosh

We develop a structural theory of information backflow in minimal non-Markovian relaxation processes within the framework of nonequilibrium statistical mechanics. The approach is based on the time-convolution (TC) and time-convolutionless…

量子物理 · 物理学 2026-02-12 Koichi Nakagawa

The generalized quantum master equation provides a powerful tool to describe the dynamics in quantum impurity models driven away from equilibrium. Two complementary approaches, one based on Nakajima--Zwanzig--Mori time-convolution (TC) and…

介观与纳米尺度物理 · 物理学 2016-01-20 Lyran Kidon , Eli Y. Wilner , Eran Rabani

Characterizing non-Markovian quantum dynamics is essential for accurately modeling open quantum systems, particularly in near-term quantum technologies. In this work, we develop a structure-preserving approach to characterizing…

量子物理 · 物理学 2025-03-31 Sohail Reddy

The time-convolutionless (TCL) non-Markovian master equation was generally thought to break down at finite time due to its singularity and fail to produce the asymptotic behavior in strong coupling regime. However, in this paper, we show…

量子物理 · 物理学 2012-03-23 Yang Li , Bin Luo , Jian-Wei Zhang , Hong Guo

The non-Markovian dynamics of open quantum systems is still a challenging task, particularly in the non-perturbative regime at low temperatures. While the Stochastic Liouville-von Neumann equation (SLN) provides a formally exact tool to…

统计力学 · 物理学 2016-12-21 Michael Wiedmann , Jürgen T. Stockburger , Joachim Ankerhold

The reduced dynamics of a central spin coupled to a bath of N spin-1/2 particles arranged in a spin star configuration is investigated. The exact time evolution of the reduced density operator is derived, and an analytical solution is…

量子物理 · 物理学 2007-05-23 Heinz-Peter Breuer , Daniel Burgarth , Francesco Petruccione

We investigate the accuracy of the second-order time-convolutionless (TCL2) quantum master equation for the calculation of linear and nonlinear spectroscopies of multichromophore systems. We show that, even for systems with non-adiabatic…

统计力学 · 物理学 2018-01-17 Jonathan H. Fetherolf , Timothy C. Berkelbach

We provide a versatile analytical framework for calculating the dynamics of a spin system in contact with a fermionic bath beyond the Markov approximation. The approach is based on a second order expansion of the Nakajima-Zwanzig master…

介观与纳米尺度物理 · 物理学 2019-10-18 Stephanie Matern , Daniel Loss , Jelena Klinovaja , Bernd Braunecker

This work discusses a two-step procedure, based on formal abstractions, to generate a finite-space stochastic dynamical model as an aggregation of the continuous temperature dynamics of a homogeneous population of Thermostatically…

系统与控制 · 计算机科学 2013-07-31 Sadegh Esmaeil Zadeh Soudjani , Alessandro Abate

The dynamics of a spin-1/2 particle coupled to a nuclear spin bath through an isotropic Heisenberg interaction is studied, as a model for the spin decoherence in quantum dots. The time-dependent polarization of the central spin is…

量子物理 · 物理学 2007-06-28 D. D. Bhaktavatsala Rao , V. Ravishankar , V. Subrahmanyam

We present an alternative approach to the calculation of the lifetime of a single excited electron (hole) which interacts with the Fermi sea of electrons in a metal. The metal is modelled on the level of a Hamilton operator comprising a…

介观与纳米尺度物理 · 物理学 2015-05-13 M. Kadiroglu , J. Gemmer

We analytically solve the {\it Non-Markovian} single electron spin dynamics due to hyperfine interaction with surrounding nuclei in a quantum dot. We use the equation-of-motion method assisted with a large field expansion, and find that…

介观与纳米尺度物理 · 物理学 2009-11-11 Changxue Deng , Xuedong Hu
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