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We present a variant of the recently developed quantum corrected model (QCM) for plasmonic nanoparticles [Nature Commun. 3, 825 (2012)] using non-local boundary conditions. The QCM accounts for electron tunneling in narrow gap regions of…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Ulrich Hohenester

We present a new method for the solution of the behavior of an ensemble of qubits in a random time-dependent external field. The forward evolution in time is governed by a transfer matrix. The elements of this matrix determine the various…

Quantum Physics · Physics 2007-05-23 Diu Nghiem , Robert Joynt

Dissipation and decoherence, and the evolution from pure to mixed states in quantum physics are handled through master equations for the density matrix. Master equations such as the Lindblad equation preserve the trace of this matrix.…

Quantum Physics · Physics 2009-11-10 A. R. P. Rau , Weichang Zhao

Quantum master equations are commonly used to model the dynamics of open quantum systems, but their accuracy is rarely compared with the analytical solution of exactly solvable models. In this work, we perform such a comparison for the…

Quantum Physics · Physics 2025-07-04 Zihan Xia , Juan Garcia-Nila , Daniel Lidar

The Lindblad (GKLS) master equation, which represents the mathematical form for the general evolution of a density matrix, is a versatile and widely-used tool in open quantum systems. In contrast with the typical approach of imposing…

Quantum Physics · Physics 2026-04-17 Eugenia Pyurbeeva , Ronnie Kosloff

Quantum brownian motion is a fundamental model for a proper understanding of open quantum systems in different contexts such as chemistry, condensed matter physics, bio-physics and opto- mechamics. In this paper we propose a novel approach…

Quantum Physics · Physics 2017-05-31 Matteo Carlesso , Angelo Bassi

In this paper, we propose and study a master-equation based approach to drive a quantum network with $n$ qubits to a consensus (symmetric) state introduced by Mazzarella et al. The state evolution of the quantum network is described by a…

Quantum Physics · Physics 2016-11-15 Guodong Shi , Daoyi Dong , Ian R. Petersen , Karl Henrik Johansson

Generative quantum eigensolver (GQE) is a hybrid quantum-classical algorithm that iteratively trains a classical generative machine learning model such that the model can generate quantum circuits with desired properties such as…

Quantum Physics · Physics 2026-05-12 Junya Nakamura , Shinichiro Sanji

Dissipaton theory had been proposed as an exact and nonperturbative approach to deal with open quantum system dynamics, where the influence of Gaussian environment is characterized by statistical quasi-particles named as dissipatons. In…

Quantum Physics · Physics 2024-11-13 Xiang Li , Yu Su , Zi-Hao Chen , Yao Wang , Rui-Xue Xu , Xiao Zheng , YiJing Yan

We propose a new form for the quantum master equation in the theory of open quantum systems. This new formalism allows one to describe the dynamics of two-level systems moving along different hyperbolic trajectories with distinct proper…

High Energy Physics - Theory · Physics 2023-01-11 M. S. Soares , G. Menezes , N. F. Svaiter

We introduce auxiliary quantum master equation - dual fermion approach (QME-DF) and argue that it presents a convenient way to describe steady-states of correlated impurity systems. The combined scheme yields an expansion around a reference…

Mesoscale and Nanoscale Physics · Physics 2019-05-14 Feng Chen , Guy Cohen , Michael Galperin

The generalized Kadanoff-Baym ansatz (GKBA) offers a computationally inexpensive approach to simulate out-of-equilibrium quantum systems within the framework of nonequilibrium Green's functions. For finite systems the limitation of…

Mesoscale and Nanoscale Physics · Physics 2021-03-02 Riku Tuovinen , Robert van Leeuwen , Enrico Perfetto , Gianluca Stefanucci

In this article, we report the recent progress on decoherence dynamics of electrons in quantum dot quantum computing systems using the exact master equation we derived recently based on the Feynman-Vernon influence functional approach. The…

Mesoscale and Nanoscale Physics · Physics 2010-05-07 Matisse W. Y. Tu , Ming-Tsung Lee , Wei-Min Zhang

This work makes progress on the issue of global vs. local master equations. Global master equations like the Redfield master equation (following from standard Born and Markov approximation) require a full diagonalization of the system…

Quantum Physics · Physics 2025-07-30 Alexander Schnell

Here, we introduce the Directional Quantum Evolution Theory (DQET), a covariant reformulation of quantum mechanics where evolution takes place along a four-vector-defined arbitrary timelike direction. This method restores space-time…

General Physics · Physics 2025-08-26 Tarek Yehia

A universal energy eigenvalue equation is proposed in this paper. It is proven that the unique set of eigenfunctions or preferred basis exists for any non-isolated sub-system. Applying the new eigenvalue equation to the relative motion of a…

Quantum Physics · Physics 2026-02-18 Shizhong Mei

When deriving a master equation for a multipartite weakly-interacting open quantum systems, dissipation is often addressed \textit{locally} on each component, i.e. ignoring the coherent couplings, which are later added `by hand'. Although…

We obtain the finite-temperature unconditional master equation of the density matrix for two coupled quantum dots (CQD) when one dot is subjected to a measurement of its electron occupation number using a point contact (PC). To determine…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Hsi-Sheng Goan , G. J. Milburn , H. M. Wiseman , He Bi Sun

This work provides an alternative derivation of third order response functions in four wave mixing spectroscopy of multichromophoric macromolecular systems considering only single exciton states. For the case of harmonic oscillator bath…

Quantum Physics · Physics 2026-01-05 Seogjoo J. Jang

Quantum teleportation, a fundamental protocol in quantum information science, enables the transfer of quantum states through entangled particle pairs and classical communication channels. While ideal quantum teleportation requires maximally…

Quantum Physics · Physics 2025-10-14 Xiaokun Yan , Zhihai Wang , Kun Zhang , Jin Wang