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We describe a novel method to obtain thermodynamic properties of quantum systems using Baysian Inference -- Maximum Entropy techniques. The method is applicable to energy values sampled at a discrete set of temperatures from Quantum Monte…

Condensed Matter · Physics 2009-10-31 Carey Huscroft , Richard Gass , Mark Jarrell

We revise critically existing approaches to evaluation of thermodynamic potentials within the Green's function calculations at finite electronic temperatures. We focus on the entropy and show that usual technical problems related to the…

Materials Science · Physics 2018-02-26 Ilja Turek , Josef Kudrnovsky , Vaclav Drchal

By decoupling the geometric from the dynamical contributions in the scattering processes, we develop a method to compute the scattering matrix of electrons in a one-dimensional coherent conductor connected to two electrodes. In particular,…

Quantum Physics · Physics 2025-12-10 Lorenzo Bagnasacco , Fabio Taddei , Vittorio Giovannetti

Integrable systems do not obey the strong eigenstate thermalization hypothesis (ETH), which has been proposed as a mechanism of thermalization in isolated quantum systems. It has been suggested that an integrable system reaches a steady…

Statistical Mechanics · Physics 2019-07-29 Takashi Ishii , Takashi Mori

Data engineering pipelines are essential - albeit costly - components of predictive analytics frameworks requiring significant engineering time and domain expertise for carrying out tasks such as data ingestion, preprocessing, feature…

Machine Learning · Computer Science 2025-05-22 Iman Kazemian , Paritosh Ramanan , Murat Yildirim

The so-called eigenstate thermalization hypothesis (ETH), which has been tested in various manybody models by numerical simulations, supplies a way of understanding eventual thermalization and is believed to be important for understanding…

Statistical Mechanics · Physics 2024-10-17 Xiao Wang , Wen-ge Wang

We derive semiclassical analytical solutions for both the diagonal and off-diagonal functions in the eigenstate thermalization hypothesis (ETH) in a quarter-stadium quantum billiard. For a representative observable, we obtain an explicit…

Quantum Physics · Physics 2025-10-15 Yaoqi Ye , Chengkai Lin , Xiao Wang

We present an embedding approach to treat local electron correlation effects in periodic environments. In a single, consistent framework, our plane-wave based scheme embeds a local high-level correlation calculation (here Coupled Cluster…

Chemical Physics · Physics 2021-01-07 Tobias Schäfer , Florian Libisch , Georg Kresse , Andreas Grüneis

Simulated tempering (ST) has attracted a great deal of attention in the last years, due to its capability to allow systems with complex dynamics to escape from regions separated by large entropic barriers. However its performance is…

Statistical Mechanics · Physics 2015-08-11 A. Valentim , Cláudio J. daSilva , Carlos E. Fiore

Deep neural networks for machine comprehension typically utilizes only word or character embeddings without explicitly taking advantage of structured linguistic information such as constituency trees and dependency trees. In this paper, we…

Computation and Language · Computer Science 2017-09-04 Rui Liu , Junjie Hu , Wei Wei , Zi Yang , Eric Nyberg

An integral equation method is presented for the 1D steady-state Poisson-Nernst-Planck equations modeling ion transport through membrane channels. The differential equations are recast as integral equations using Green's 3rd identity…

Numerical Analysis · Mathematics 2023-04-11 Zhen Chao , Weihua Geng , Robert Krasny

We review the status of the understanding of single-electron transport (SET) devices with respect to their applicability in metrology. Their envisioned role as the basis of a high-precision electrical standard is outlined and is discussed…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Karsten Flensberg , Arkadi A. Odintsov , Feike Liefrink , Paul Teunissen

In this paper, we analyze the embedding cell method, an algorithm which has been developed for the numerical homogenization of metal-ceramic composite materials. We show the convergence of the iteration scheme of this algorithm and the…

Numerical Analysis · Mathematics 2016-12-20 Wolf-Patrick Düll , Bastian Hilder , Guido Schneider

We introduce an efficient method to construct optimal and system adaptive basis sets for use in electronic structure and quantum Monte Carlo calculations. The method is based on an embedding scheme in which a reference atom is singled out…

Strongly Correlated Electrons · Physics 2016-02-02 Sandro Sorella , Nicolas Devaux , Mario Dagrada , Guglielmo Mazzola , Michele Casula

In this paper, we propose a new Green's function embedding method called PEXSI-$\Sigma$ for describing complex systems within the Kohn-Sham density functional theory (KSDFT) framework, after revisiting the physics literature of Green's…

Computational Physics · Physics 2016-10-20 Xiantao Li , Lin Lin , Jianfeng Lu

Hedin's $GW$ approximation to the electronic self-energy has been impressively successful to calculate quasiparticle energies, such as ionization potentials, electron affinities, or electronic band structures. The success of this fairly…

Chemical Physics · Physics 2024-10-31 Arno Förster , Fabien Bruneval

The Eigenstate Thermalization Hypothesis (ETH) has played a key role in recent advances in the high energy and condensed matter communities. It explains how an isolated quantum system in a far-from-equilibrium initial state can evolve to a…

Quantum Physics · Physics 2026-04-14 Elena Cáceres , Stefan Eccles , Jason Pollack , Sarah Racz

We discuss the computational efficiency of the finite temperature simulation with the minimally entangled typical thermal states (METTS). To argue that METTS can be efficiently represented as matrix product states, we present an analytic…

Statistical Mechanics · Physics 2024-07-31 Yuya Kusuki , Kotaro Tamaoka , Zixia Wei , Yasushi Yoneta

The Eigenstate Thermalization Hypothesis (ETH) explains emergence of the thermodynamic equilibrium by assuming a particular structure of observable's matrix elements in the energy eigenbasis. Schematically, it postulates that off-diagonal…

Statistical Mechanics · Physics 2022-05-11 Jiaozi Wang , Mats H. Lamann , Jonas Richter , Robin Steinigeweg , Anatoly Dymarsky , Jochen Gemmer

A new reference state for density functional theory, termed the independent atom ansatz, is introduced in this work. This ansatz allows for the exact representation of electron density in terms of non-interacting, atom-localized orbitals.…

Chemical Physics · Physics 2024-05-03 Alexander V. Mironenko