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We introduce the cut averaged entanglement entropy in disordered periodic spin chains and prove it to be a concave function of subsystem size for individual eigenstates. This allows us to identify the entanglement scaling as a function of…

Strongly Correlated Electrons · Physics 2016-11-21 Xiongjie Yu , David J. Luitz , Bryan K. Clark

Multi-view clustering (MVC) has emerged as a powerful technique for extracting valuable insights from data characterized by multiple perspectives or modalities. Despite significant advancements, existing MVC methods struggle with…

Artificial Intelligence · Computer Science 2024-12-24 Lijian Li

The random--anisotropy Blume--Emery--Griffiths model, which has been proposed to describe the critical behavior of $^3$He--$^4$He mixtures in a porous medium, is studied in the pair approximation of the cluster variation method extended to…

Condensed Matter · Physics 2009-10-22 C. Buzano , A. Maritan , A. Pelizzola

A scheme for calculating corrections to all orders to the entropy of any thermodynamic system due to statistical fluctuations around equilibrium has been developed. It is then applied to the BTZ black hole, AdS-Schwarzschild black Hole and…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Surhud Shrikant More

We develop a nonequilibrium increment method in quantum Monte Carlo simulations to obtain the R\'enyi entanglement entropy of various quantum many-body systems with high efficiency and precision. To demonstrate its power, we show the…

Strongly Correlated Electrons · Physics 2022-07-01 Jiarui Zhao , Bin-Bin Chen , Yan-Cheng Wang , Zheng Yan , Meng Cheng , Zi Yang Meng

Accurate characterization of entropy plays a pivotal role in capturing reversible and irreversible heating in supercapacitors during charging/discharging cycles. However, numerical methods that can faithfully capture entropy variation in…

Numerical Analysis · Mathematics 2024-09-17 Jie Ding , Xiang Ji , Shenggao Zhou

Crystallization is a process of great practical relevance in which rare but crucial fluctuations lead to the formation of a solid phase starting from the liquid. Like in all first order first transitions there is an interplay between…

Statistical Mechanics · Physics 2017-07-12 Pablo M. Piaggi , Omar Valsson , Michele Parrinello

A new entanglement measure, the multiple entropy measures (MEMS), is proposed to quantify quantum entanglement of multi-partite quantum state. The MEMS is vector-like with $m=[N/2]$, the integer part of $N/2$, components: $[S_1, S_2,...,…

Quantum Physics · Physics 2007-06-23 Dan Liu , Xin Zhao , Gui Lu Long

We generalized the recently introduced new impurity solver based on the diagrammatic expansion around the atomic limit and Quantum Monte Carlo summation of the diagrams. We present generalization to the cluster of impurities, which is at…

Strongly Correlated Electrons · Physics 2009-11-11 Kristjan Haule

We develop the variational-cluster-approximation method based on the thermal-pure-quantum-state approach and apply the method to the calculations of the thermodynamic properties of the Hubbard model, thereby obtaining the temperature…

Strongly Correlated Electrons · Physics 2020-02-19 Hisao Nishida , Ryo Fujiuchi , Koudai Sugimoto , Yukinori Ohta

In this paper, we define the holographic multipartite entanglement entropy for $N$ separated subsystems living in a compact $\text{CFT}_d$ space-time. In a large $N$ limit, we find that the first-order holographic entanglement entropy…

High Energy Physics - Theory · Physics 2020-05-06 Hadyan Luthfan Prihadi , Donny Dwiputra , Freddy Permana Zen

The generalized stacking fault energy is a key ingredient to mesoscale models of dislocations. Here we develop an approach to quantify the dependence of generalized stacking fault energies on the degree of chemical disorder in…

Materials Science · Physics 2020-01-22 Anirudh Raju Natarajan , Anton Van der Ven

Fuzzy clustering methods identify naturally occurring clusters in a dataset, where the extent to which different clusters are overlapped can differ. Most methods have a parameter to fix the level of fuzziness. However, the appropriate level…

Neural and Evolutionary Computing · Computer Science 2024-10-30 Avisek Gupta , Shounak Datta , Swagatam Das

Residual entropy, which reflects the degrees of freedom in a system at absolute zero temperature, is crucial for understanding quantum and classical ground states. Despite its key role in explaining low-temperature phenomena and ground…

Statistical Mechanics · Physics 2025-02-20 Zenan Dai , Xiao Yan Xu

We have done a finite-size scaling study of a continuous phase transition altered by the quenched bond disorder, investigating systems at quasicritical temperatures of each disorder realization by using the equilibriumlike invaded cluster…

Statistical Mechanics · Physics 2012-03-21 Ivan Balog , Katarina Uzelac

We have computed the two and three-particle contribution to the entropy of a Weeks-Chandler-Andersen fluid via molecular dynamics simulations. The three-particle correlation function and entropy were computed with a new method which…

Statistical Mechanics · Physics 2020-01-08 Luca Maffioli , Nathan Clisby , Federico Frascoli , B. D. Todd

Concurrent multiscale methods play an important role in modeling and simulating materials with defects, aiming to achieve the balance between accuracy and efficiency. Atomistic-to-continuum (a/c) coupling methods, a typical class of…

Numerical Analysis · Mathematics 2025-02-27 Junfeng Lu , Hao Wang , Yangshuai Wang

High-dimensional entanglement has been identified as an important resource in quantum information processing, and also as a main obstacle for simulating quantum systems. Its certification is often difficult, and most widely used methods for…

Quantum Physics · Physics 2024-01-31 Shuheng Liu , Matteo Fadel , Qiongyi He , Marcus Huber , Giuseppe Vitagliano

Highly size-asymmetrical fluid mixtures arise in a variety of physical contexts, notably in suspensions of colloidal particles to which much smaller particles have been added in the form of polymers or nanoparticles. Conventional schemes…

Soft Condensed Matter · Physics 2011-01-14 Douglas J. Ashton , Jiwen Liu , Erik Luijten , Nigel B. Wilding

The widespread popularity of replica exchange and expanded ensemble algorithms for simulating complex molecular systems in chemistry and biophysics has generated much interest in enhancing phase space mixing of these protocols, thus…

Statistical Mechanics · Physics 2011-12-06 John D. Chodera , Michael R. Shirts