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We describe a formulation of the density matrix embedding theory at finite temperature. We present a generalization of the ground-state bath orbital construction that embeds a mean-field finite-temperature density matrix up to a given order…

强关联电子 · 物理学 2020-03-04 Chong Sun , Ushnish Ray , Zhi-Hao Cui , Miles Stoudenmire , Michel Ferrero , Garnet Kin-Lic Chan

Quantum Gibbs state sampling algorithms generally suffer from either scaling exponentially with system size or requiring specific knowledge of spectral properties \textit{a priori}. Also, these algorithms require a large overhead of bath or…

量子物理 · 物理学 2020-09-02 Jeffrey Cohn , Khadijeh Sona Najafi , Forest Yang , Barbara Jones , James K. Freericks

We consider the generic model of a finite-size quantum electron system connected to two (temperature and particle) reservoirs. The quantum open system is driven out of equilibrium by the presence of both a temperature and a chemical…

统计力学 · 物理学 2017-04-04 H. Ness

The maximal entropy moment method (MEM) is systematic solution of the challenging problem: generating extended hydrodynamic equations valid for both dense and rarefied gases. However, simulating MEM suffers from a computational expensive…

流体动力学 · 物理学 2024-02-21 Candi Zheng , Wang Yang , Shiyi Chen

The formalism of statistical mechanics can be generalized by starting from more general measures of information than the Shannon entropy and maximizing those subject to suitable constraints. We discuss some of the most important examples of…

统计力学 · 物理学 2015-05-13 Christian Beck

Thermal properties of low-density neutron matter are investigated by determinantal quantum Monte Carlo lattice calculations on 3+1 dimensional cubic lattices. Nuclear effective field theory (EFT) is applied using the pionless single- and…

核理论 · 物理学 2009-11-25 T. Abe , R. Seki

We introduce a tensor network method for approximating thermal equilibrium states of quantum many-body systems at low temperatures. Whereas the usual approach starts from infinite temperature and evolves the state in imaginary time (toward…

量子物理 · 物理学 2025-10-23 Denise Cocchiarella , Mari Carmen Bañuls

Ultra-fast electronic phenomena originating from finite temperature, such as nonlinear optical excitation, can be simulated with high fidelity via real-time time dependent density functional theory (rt-TDDFT) calculations with hybrid…

材料科学 · 物理学 2025-01-07 Rongrong Liu , Zhuoqiang Guo , Qiuchen Sha , Tong Zhao , Haibo Li , Wei Hu , Lijun Liu , Guangming Tan , Weile Jia

It has long been conjectured that the entropy of quantum fields across boundaries scales as the boundary area. This conjecture has not been easy to test in spacetime dimensions greater than four because of divergences in the von Neumann…

高能物理 - 理论 · 物理学 2013-07-29 Samuel L. Braunstein , Saurya Das , S. Shankaranarayanan

Matrix Product States form the basis of powerful simulation methods for ground state problems in one dimension. Their power stems from the fact that they faithfully approximate states with a low amount of entanglement, the "area law". In…

量子物理 · 物理学 2020-09-04 Jiri Guth Jarkovsky , Andras Molnar , Norbert Schuch , J. Ignacio Cirac

While the recursive property of entropy is well known in information theory, it is rarely utilized in thermodynamics, despite entropy originating in this field. Moreover, computational tools to implement this concept within first-principles…

材料科学 · 物理学 2026-04-21 Nigel Lee En Hew , Luke Allen Myers , Shun-Li Shang , Zi-Kui Liu

In analogy to the first law of thermodynamics, the increase in entanglement entropy $\delta S$ of a conformal field theory (CFT) is proportional to the increase in energy, $\delta E$, of the subsystem divided by an effective entanglement…

高能物理 - 理论 · 物理学 2016-07-13 G. C. Levine , B. Caravan

One of the most fundamental problems in quantum many-body physics is the characterization of correlations among thermal states. Of particular relevance is the thermal area law, which justifies the tensor network approximations to thermal…

量子物理 · 物理学 2021-03-12 Tomotaka Kuwahara , Álvaro M. Alhambra , Anurag Anshu

In this article, an efficient transient electricalthermal co-simulation method based on the finite element method (FEM) and the discontinuous Galerkin time-domain (DGTD) method is developed for electrical-thermal coupling analysis of…

数值分析 · 数学 2023-04-06 Kai Zhu , Shunchuan Yang

A model-independent lower bound on the entropy S of the multiparticle system produced in high energy collisions, provided by the Renyi entropy H_2, is shown to be very effective. Estimates show that the ratio H_2/S remains close to one half…

高能物理 - 唯象学 · 物理学 2009-01-07 A. Bialas , W. Czyz , K. Zalewski

The entanglement entropy in many gapless quantum systems receives a contribution from corners in the entangling surface in 2+1d. It is characterized by a universal function $a(\theta)$ depending on the opening angle $\theta$, and contains…

强关联电子 · 物理学 2016-01-27 Pablo Bueno , William Witczak-Krempa

The Matrix-based Renyi's entropy enables us to directly measure information quantities from given data without the costly probability density estimation of underlying distributions, thus has been widely adopted in numerous statistical…

机器学习 · 统计学 2022-05-17 Yuxin Dong , Tieliang Gong , Shujian Yu , Chen Li

Measuring entropy production of a system directly from the experimental data is highly desirable since it gives a quantifiable measure of the time-irreversibility for non-equilibrium systems and can be used as a cost function to optimize…

统计力学 · 物理学 2024-07-16 Prashant Singh , Karel Proesmans

Entanglement entropy is an essential metric for characterizing quantum many-body systems, but its numerical evaluation for neural network representations of quantum states has so far been inefficient and demonstrated only for the restricted…

量子物理 · 物理学 2020-12-21 Zhaoyou Wang , Emily J. Davis

This work expands on our recently introduced low Mach enthalpy method [1] for simulating the melting and solidification of a phase change material (PCM) alongside (or without) an ambient gas phase. The method captures PCM's volume change…

流体动力学 · 物理学 2025-03-11 Ramakrishnan Thirumalaisamy , Amneet Pal Singh Bhalla
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