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The scaling behavior of the entanglement entropy in the two-dimensional random transverse field Ising model is studied numerically through the strong disordered renormalization group method. We find that the leading term of the entanglement…

无序系统与神经网络 · 物理学 2009-11-13 Rong Yu , Hubert Saleur , Stephan Haas

We use a strong-disorder renormalization group (SDRG) method and ground-state quantum Monte Carlo (QMC) simulations to study S=1/2 spin chains with random couplings, calculating disorder-averaged spin and dimer correlations. The QMC…

强关联电子 · 物理学 2016-12-02 Yu-Rong Shu , Dao-Xin Yao , Chih-Wei Ke , Yu-Cheng Lin , Anders W. Sandvik

We study the one-dimensional nearest neighbor tight binding model of electrons with independently distributed random hopping and no on-site potential (i.e. off-diagonal disorder with particle-hole symmetry, leading to sub-lattice symmetry,…

无序系统与神经网络 · 物理学 2020-06-16 Akshay Krishna , R. N. Bhatt

We propose a method to compute the entanglement entropy (EE) using the tensor renormalization group (TRG) method. The reduced density matrix of a $d$-dimensional quantum system is represented as a $(d+1)$-dimensional tensor network. We…

高能物理 - 格点 · 物理学 2025-09-03 Takahiro Hayazaki , Daisuke Kadoh , Shinji Takeda , Gota Tanaka

All the existing entropy stable (ES) schemes for relativistic hydrodynamics (RHD) in the literature were restricted to the ideal equation of state (EOS), which however is often a poor approximation for most relativistic flows due to its…

数值分析 · 数学 2024-09-18 Linfeng Xu , Shengrong Ding , Kailiang Wu

We propose an entanglement-based algorithm of the tensor-network strong-disorder renormalization group (tSDRG) method for quantum spin systems with quenched randomness. In contrast to the previous tSDRG algorithm based on the energy…

强关联电子 · 物理学 2021-10-19 Kouichi Seki , Toshiya Hikihara , Kouichi Okunishi

We develop an approach for characterizing non-local quantum correlations in spin systems with exactly or nearly degenerate ground states. Starting with linearly independent degenerate eigenfunctions calculated with exact diagonalization we…

量子物理 · 物理学 2025-04-08 V. S. Okatev , O. M. Sotnikov , V. V. Mazurenko

In this work, we study the scaling relation of energy and length scales in the 2D random-singlet (RS) state of the random $Q$ model. To investigate the intrinsic energy scale of the spinon subsystem arising from the model, we develop a…

强关联电子 · 物理学 2025-01-03 Chen Peng , Long Zhang

We study entanglement properties of systems with spontaneously broken continuous symmetry. We find that in addition to the expected area law behavior, the entanglement entropy contains a subleading contribution which diverges…

强关联电子 · 物理学 2015-01-09 Max A. Metlitski , Tarun Grover

In this work, we explicate a new approach for eliminating renormalization scale and scheme (RSS) dependence in observables. We develop this approach by matching RSS dependent observables (such as cross-sections and decay rates) to a theory…

高能物理 - 唯象学 · 物理学 2022-02-01 Farrukh A. Chishtie

Entanglement plays a prominent role in the study of condensed matter many-body systems: Entanglement measures not only quantify the possible use of these systems in quantum information protocols, but also shed light on their physics.…

量子物理 · 物理学 2021-11-02 Shachar Fraenkel , Moshe Goldstein

The entanglement in a quantum system that possess an internal symmetry, characterized by the Sz-magnetization or U(1)-charge, is distributed among different sectors. The aim of this letter is to gain a deeper understanding of the…

统计力学 · 物理学 2018-07-25 J. C. Xavier , F. C. Alcaraz , G. Sierra

We investigate the entanglement entropy of a massive scalar field using the spherical shell lattice model introduced by Das and Shankaranarayanan. A systematic numerical analysis is performed to study the dependence of the entropy on the…

高能物理 - 理论 · 物理学 2026-04-02 S. Bellucci , M. Shatnev , L. Zazunov

We explore the relationship between higher-form symmetries and entanglement properties in discrete lattice gauge theories, which can exhibit both topologically ordered phases and higher-form symmetry-protected topological (SPT) phases. Our…

强关联电子 · 物理学 2025-01-06 Wen-Tao Xu , Tibor Rakovszky , Michael Knap , Frank Pollmann

We investigate two one-dimensional tight-binding models with disorder that have extended states at zero energy. We use exact and partial diagonalisation of the Hamiltonian to obtain the eigenmodes and the associated participation ratios,…

无序系统与神经网络 · 物理学 2025-08-27 Luca Schaefer , Barbara Drossel

We study the entanglement properties of anisotropic open spin one-half Heisenberg chains with a modified central bond. The entanglement entropy between the two half-chains is calculated with the density-matrix renormalization method…

统计力学 · 物理学 2009-11-11 Jize Zhao , Ingo Peschel , Xiaoqun Wang

A generic scheme is proposed to investigate the entanglement entropy for a type of scale-invariant states, valid for orthonormal basis states in the ground state subspace of quantum many-body systems undergoing spontaneous symmetry breaking…

统计力学 · 物理学 2024-12-10 Huan-Qiang Zhou , Qian-Qian Shi , Ian P. McCulloch , Murray T. Batchelor

Topological phases are unique states of matter incorporating long-range quantum entanglement, hosting exotic excitations with fractional quantum statistics. We report a practical method to identify topological phases in arbitrary realistic…

强关联电子 · 物理学 2012-12-04 Hong-Chen Jiang , Zhenghan Wang , Leon Balents

We investigate the application of the Density Matrix Renormalization Group (DMRG) to the Hubbard model in momentum-space. We treat the one-dimensional models with dispersion relations corresponding to nearest-neighbor hopping and $1/r$…

强关联电子 · 物理学 2009-11-07 Satoshi Nishimoto , Eric Jeckelmann , Florian Gebhard , Reinhard M. Noack

The sub-volume scaling of the entanglement entropy with the system's size, $n$, has been a subject of vigorous study in the last decade [1]. The area law provably holds for gapped one dimensional systems [2] and it was believed to be…

量子物理 · 物理学 2017-01-17 Ramis Movassagh , Peter W. Shor