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This work introduces a novel probabilistic deep learning technique called deep Gaussian mixture ensembles (DGMEs), which enables accurate quantification of both epistemic and aleatoric uncertainty. By assuming the data generating process…

Machine Learning · Statistics 2023-06-13 Yousef El-Laham , Niccolò Dalmasso , Elizabeth Fons , Svitlana Vyetrenko

In this work a practical scheme is developed for the first-principles study of time-dependent quantum transport. The basic idea is to combine the transport master-equation with the well-known time-dependent density functional theory. The…

Mesoscale and Nanoscale Physics · Physics 2013-12-16 Xin-Qi Li , YiJing Yan

The electron density, its gradient, and the Kohn-Sham orbital kinetic energy density are the local ingredients of a meta-generalized gradient approximation (meta-GGA). We construct a meta-GGA density functional for the exchange-correlation…

Materials Science · Physics 2009-02-20 Jianmin Tao , John P. Perdew , Viktor N. Staroverov , Gustavo E. Scuseria

Conditional Density Estimation (CDE) models deal with estimating conditional distributions. The conditions imposed on the distribution are the inputs of the model. CDE is a challenging task as there is a fundamental trade-off between model…

Machine Learning · Statistics 2018-10-31 Vincent Dutordoir , Hugh Salimbeni , Marc Deisenroth , James Hensman

In the framework of theory of open quantum systems, we derive quantum master equations for the ultrastrong system-bath coupling regime and, more generally, the strong-decoherence regime. In this regime, the strong decoherence is…

Quantum Physics · Physics 2021-09-07 Anton Trushechkin

A quantization scheme for the phenomenological Maxwell theory of the full electromagnetic field in an inhomogeneous three-dimensional, dispersive and absorbing dielectric medium is developed. The classical Maxwell equations with spatially…

Quantum Physics · Physics 2009-10-30 Ho Trung Dung , L. Knoell , D. -G. Welsch

The theoretical description of the interplay between coherent evolution and chemical exchange, originally developed for magnetic resonance and later applied to other spectroscopic regimes, was derived under incorrect statistical…

Quantum Physics · Physics 2023-07-19 Jacob R. Lindale , Shannon L. Eriksson , Warren S. Warren

Computationally tractable and reliable, albeit approximate, methods for studying exciton transport in molecular aggregates immersed in structured bosonic environments have been actively developed. Going beyond the lowest-order (Born)…

Chemical Physics · Physics 2024-11-28 Veljko Janković , Tomáš Mančal

For driven Markovian dynamics on a network of (biomolecular) states, the generalized mobilities, i.e., the response of any current to changes in an external parameter, are expressed by an integral over an appropriate current-current…

Statistical Mechanics · Physics 2015-05-18 Udo Seifert

A quantum-kinetic formulation of the dynamical evolution of a high-energy non-equilibrium gluon system at finite density is developed, to study the interplay between quantum fluctuations of high-momentum (hard) gluons and the low-momentum…

High Energy Physics - Phenomenology · Physics 2008-11-26 Klaus Geiger

We propose a method to reconstruct the density of an optical source in a highly scattering medium from ultrasound-modulated optical measurements. Our approach is based on the solution to a hybrid inverse source problem for the radiative…

Analysis of PDEs · Mathematics 2015-06-23 Guillaume Bal , Francis J. Chung , John C. Schotland

The quantum master equation is a widespread approach to describing open quantum system dynamics. In this approach, the effect of the environment on the system evolution is entirely captured by the dynamical generator, providing a compact…

Quantum Physics · Physics 2018-06-27 Jan Kolodynski , Jonatan Bohr Brask , Marti Perarnau-Llobet , Bogna Bylicka

A theoretical scheme for the treatment of an open molecular system with electrons and nuclei is proposed. The idea is based on the Grand Canonical description of a quantum region embedded in a classical reservoir of molecules. Electronic…

Statistical Mechanics · Physics 2018-01-17 Luigi Delle Site

Recent ultrafast optical experiments show that excitons in large biological light-harvesting complexes are coupled to molecular vibration modes. These high-frequency vibrations will not only affect the optical response, but also drive the…

Quantum Physics · Physics 2015-02-12 Arend G. Dijkstra , Chen Wang , Jianshu Cao , Graham R. Fleming

Modeling the time-dependent evolution of electron density is essential for understanding quantum mechanical behaviors of condensed matter and enabling predictive simulations in spectroscopy, photochemistry, and ultrafast science. Yet, while…

Computational Physics · Physics 2025-09-03 Yuan Chiang , Youngsoo Choi , Daniel Osei-Kuffuor

We extend the "analogue spacetime" programme by investigating a condensed-matter system that is in principle capable of simulating the massive Klein--Gordon equation in curved spacetime. Since many elementary particles have mass, this is an…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Matt Visser , Silke Weinfurtner

Given the inherent limitations of traditional Variational Quantum Eigensolver(VQE) algorithms, the integration of deep generative models into hybrid quantum-classical frameworks, specifically the Generative Quantum Eigensolver(GQE),…

Chemical Physics · Physics 2025-09-25 Zhi Yin , Xiaoran Li , Shengyu Zhang , Xin Li , Xiaojin Zhang

Formulas are derived for the average level density of deformed, or transition, Gaussian orthogonal random matrix ensembles. After some general considerations about Gaussian ensembles we derive formulas for the average level density for (i)…

Nuclear Theory · Physics 2009-11-10 A. C. Bertuola , J. X. de Carvalho , M. S. Hussein , M. P. Pato , A. J. Sargeant

Within the framework of the density matrix method, general formulas obtained that are convenient for describing fast pulsed photoemission that occurs in a time less than or on the order of the times of relaxation processes inside the…

Mesoscale and Nanoscale Physics · Physics 2022-01-12 Yu. G. Peisakhovich , A. A. Shtygashev

We present a quantum algorithm based on the Generalized Quantum Master Equation (GQME) approach to simulate open quantum system dynamics on noisy intermediate-scale quantum (NISQ) computers. This approach overcomes the limitations of the…