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We compute the bipartite entanglement properties of the spin-half square-lattice Heisenberg model by a variety of numerical techniques that include valence bond quantum Monte Carlo (QMC), stochastic series expansion QMC, high temperature…

强关联电子 · 物理学 2013-04-16 Ann B. Kallin , Matthew B. Hastings , Roger G. Melko , Rajiv R. P. Singh

Using the AdS/CFT correspondence, we examine entanglement entropy for a boundary theory deformed by a relevant operator and establish two results. The first is that if there is a contribution which is logarithmic in the UV cut-off, then the…

高能物理 - 理论 · 物理学 2012-11-07 Ling-Yan Hung , Robert C. Myers , Michael Smolkin

We introduce a quantum Monte Carlo algorithm to measure the R\'enyi entanglement entropies in systems of interacting bosons in the continuum. This approach is based on a path integral ground state method that can be applied to interacting…

量子气体 · 物理学 2014-08-05 C. M. Herdman , Stephen Inglis , P. -N. Roy , R. G. Melko , A. Del Maestro

The ground state of an antiferromagnetic Heisenberg model on L X L clusters joined by a single bond and balanced Bethe clusters are investigated with quantum Monte Carlo and modified spin-wave theory. The improved Monte Carlo method of…

统计力学 · 物理学 2022-11-18 Barry Friedman , Alyssa Horne

We study quantum criticality in a holographic Einstein--Maxwell--Dilaton--Axion (EMDA) p-wave superconductor exhibiting a superconductor--insulator transition (SIT). By tracking the superconducting energy gap, we show that approaching the…

高能物理 - 理论 · 物理学 2026-05-18 Zhe Yang , Fang-Jing Cheng , Guoyang Fu , Yi Ling , Peng Liu , Jian-Pin Wu

Entanglement entropy (EE) is a quantitative measure of the effective degrees of freedom and the correlation between the sub-systems of a physical system. Using the replica trick, we can obtain the EE by evaluating the entanglement Renyi…

高能物理 - 理论 · 物理学 2022-12-14 Jun Tsujimura , Yasusada Nambu

How the detailed structure of quantum complexity emerges from quantum dynamics remains a fundamental challenge highlighted by advances in quantum simulators and information processing. The celebrated Small-Incremental-Entangling (SIE)…

We report multipronged progress on the stochastic averaging approach to numerical analytic continuation of quantum Monte Carlo data. With the sampled spectrum parametrized with delta-functions in continuous frequency space, a calculation of…

强关联电子 · 物理学 2023-01-11 Hui Shao , Anders W. Sandvik

In the absence of a fermion sign problem, auxiliary field (or determinantal) quantum Monte Carlo (DQMC) approaches have long been the numerical method of choice for unbiased, large-scale simulations of interacting many-fermion systems. More…

强关联电子 · 物理学 2016-12-22 Peter Broecker , Simon Trebst

We explore the R\'enyi entanglement entropies of a one-dimensional (line) subsystem of length $L$ embedded in two-dimensional $L\times L$ square lattice for quantum spin models whose ground-state breaks a continuous symmetry in the…

强关联电子 · 物理学 2015-05-01 David J. Luitz , Xavier Plat , Fabien Alet , Nicolas Laflorencie

Entanglement entropy has been a powerful tool for analyzing phases and criticality in pure ground states via quantum Monte Carlo (QMC). However, mixed-state entanglement, relevant to systems with dissipation, finite temperature, and…

强关联电子 · 物理学 2025-06-17 Yi-Ming Ding , Yin Tang , Zhe Wang , Zhiyan Wang , Bin-Bin Mao , Zheng Yan

AApplying the Born-Infeld Anti de Sitter charged black hole metric we calculate holographic entanglement entropy (HEE) by regarding the proposal of Ryu and Takanayagi. To do so we assume that time dependence of the black hole mass and…

高能物理 - 理论 · 物理学 2018-11-28 H. Ghaffarnejad , M. Farsam , E. Yaraie

We formulate a semi-classical circuit model to clarify the role of quantum entanglement in the recently discovered encoding phase transitions in quantum circuits with measurements. As a starting point we define a random circuit model with…

量子物理 · 物理学 2023-05-12 Anasuya Lyons , Soonwon Choi , Ehud Altman

Particle-based ensemble semi-classical Monte Carlo (MC) methods employ quantum corrections (QCs) to address quantum confinement and degenerate carrier populations to model tomorrow's ultra-scaled MOSFETs. Here we present new approaches to…

介观与纳米尺度物理 · 物理学 2016-04-04 Dax M. Crum , Amithraj Valsaraj , John K. David , Leonard F. Register , Sanjay K. Banerjee

In this thesis I present numerical studies of entanglement entropy and the quantum null energy condition in strongly coupled far-from-equilibrium quantum states using holography. I give a careful introduction into the numerical methods used…

高能物理 - 理论 · 物理学 2018-10-03 Christian Ecker

We present a method for improving measurements of the entanglement R\'enyi entropies in quantum Monte Carlo simulations by relating them with measurements of participation R\'enyi entropies. Exploiting the capability of building improved…

强关联电子 · 物理学 2014-11-11 David J. Luitz , Xavier Plat , Nicolas Laflorencie , Fabien Alet

Quantum critical points beyond the Landau paradigm exhibit fractionalized excitations and emergent gauge fields. Here, we use entanglement microscopy--full tomography of the reduced density matrix of small subregions and subsequent…

强关联电子 · 物理学 2025-09-15 Menghan Song , Ting-Tung Wang , Liuke Lyu , William Witczak-Krempa , Zi Yang Meng

This is an extended version of the previous paper arXiv:2103.05303 to study entanglement entropy (EE) of a half space in interacting field theories. In the previous paper, we have proposed a novel method to calculate EE based on the notion…

高能物理 - 理论 · 物理学 2021-06-30 Satoshi Iso , Takato Mori , Katsuta Sakai

Entanglement microscopy reveals the true quantum correlations among the microscopic building blocks of many-body systems [Nat. Commun. 16, 96 (2025)]. Using this approach, we study the multipartite entanglement of the quantum Ising model in…

强关联电子 · 物理学 2025-06-05 Liuke Lyu , Menghan Song , Ting-Tung Wang , Zi Yang Meng , William Witczak-Krempa

We investigate the holographic mixed-state entanglement measures in the Einstein-Maxwell-Scalar (EMS) theory. Several quantities are computed, including the holographic entanglement entropy (HEE), mutual information (MI), entanglement wedge…

高能物理 - 理论 · 物理学 2026-01-27 Zhe Yang , GuangZai Ye , Jian-Pin Wu , Peng Liu