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A general geometrical structure of the entanglement entropy for spatial partition of a relativistic QFT system is established by using methods of the effective gravity action and the spectral geometry. A special attention is payed to the…

高能物理 - 理论 · 物理学 2008-11-26 Dmitri V. Fursaev

The concept of entanglement entropy appears in multiple contexts, from black hole physics to quantum information theory, where it measures the entanglement of quantum states. We investigate the entanglement entropy in a simple model, the…

介观与纳米尺度物理 · 物理学 2015-05-13 Karyn Le Hur

We explore the dynamical behavior at and near a special class of two-dimensional quantum critical points. Each is a conformal quantum critical point (CQCP), where in the scaling limit the equal-time correlators are those of a…

强关联电子 · 物理学 2011-03-28 S. V. Isakov , P. Fendley , A. W. W. Ludwig , S. Trebst , M. Troyer

We relate the reduced density matrices of quadratic bosonic and fermionic models to their Green's function matrices in a unified way and calculate the scaling of bipartite entanglement of finite systems in an infinite universe exactly. For…

统计力学 · 物理学 2007-05-23 Thomas Barthel , Ming-Chiang Chung , Ulrich Schollwoeck

We consider Lifshitz criticalities with dynamical exponent $z=2$ that emerge in a class of topological chains. There, such a criticality plays a fundamental role in describing transitions between symmetry-enriched conformal field theories…

统计力学 · 物理学 2022-04-26 Ke Wang , T. A. Sedrakyan

We investigate the entanglement entropy (EE) of circular entangling cuts in the 2+1-dimensional quantum Lifshitz model, whose ground state wave function is a spatially conformal invariant state of the Rokhsar-Kivelson type, whose weight is…

统计力学 · 物理学 2016-09-15 Tianci Zhou , Xiao Chen , Thomas Faulkner , Eduardo Fradkin

The critical value of the atom-field coupling strength for a finite number of atoms is deter- mined by means of both, semiclassical and exact solutions. In the semiclassical approach we use a variational procedure with coherent and…

量子物理 · 物理学 2012-12-05 Octavio Castaños , Eduardo Nahmad-Achar , Ramón López-Peña , Jorge G. Hirsch

We study the impurity entanglement entropy $S_e$ in quantum impurity models that feature a Kondo-destruction quantum critical point (QCP) arising from a pseudogap in the conduction-band density of states or from coupling to a bosonic bath.…

We replace a Hamiltonian with a modular Hamiltonian in the spectral form factor and the level spacing distribution function. This study establishes a connection between quantities within Quantum Entanglement and Quantum Chaos. To have a…

高能物理 - 理论 · 物理学 2022-11-15 Chen-Te Ma , Chih-Hung Wu

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

In this paper we apply the formalism of translation invariant (continuous) matrix product states in the thermodynamic limit to $(1+1)$ dimensional critical models. Finite bond dimension bounds the entanglement entropy and introduces an…

量子物理 · 物理学 2015-06-18 Vid Stojevic , Jutho Haegeman , I. P. McCulloch , L. Tagliacozzo , Frank Verstraete

Using free-fermionic techniques we study the entanglement entropy of a block of contiguous spins in a large finite quantum Ising chain in a transverse field, with couplings of different types: homogeneous, periodically modulated and random.…

统计力学 · 物理学 2009-11-13 Ferenc Igloi , Yu-Cheng Lin

We study the universal scaling behavior of the entanglement entropy of critical theories in $2+1$ dimensions. We specially consider two fermionic scale-invariant models, free massless Dirac fermions and a model of fermions with quadratic…

强关联电子 · 物理学 2015-02-24 Xiao Chen , Gil Young Cho , Thomas Faulkner , Eduardo Fradkin

Studies of entanglement in many-particle systems suggest that most quantum critical ground states have infinitely more entanglement than non-critical states. Standard algorithms for one-dimensional many-particle systems construct model…

强关联电子 · 物理学 2015-05-13 Frank Pollmann , Subroto Mukerjee , Ari Turner , Joel E. Moore

Characterizing universal entanglement features in higher-dimensional quantum matter is a central goal of quantum information science and condensed matter physics. While the subleading corner terms in two-dimensional quantum systems…

强关联电子 · 物理学 2025-12-30 Chang-Yu Shen , Shuai Yin , Zi-Xiang Li

We investigate the evolution of entanglement spectra under a global quantum quench from a short-range correlated state to the quantum critical point. Motivated by the conformal mapping, we find that the dynamical entanglement spectra…

统计力学 · 物理学 2019-11-11 Qicheng Tang , W. Zhu

Measuring universal data in the strongly correlated regime of quantum critical points remains a fundamental objective for quantum simulators. In foundational work, Calabrese and Cardy demonstrated how this data governs the dynamics of…

量子物理 · 物理学 2025-09-30 Julia Wei , Méabh Allen , Jack Kemp , Chenbing Wang , Zixia Wei , Joel E. Moore , Norman Y. Yao

Electronic quantum entanglement between the central chain and the two electrodes in an infinite one-dimensional two-probe device system is studied. The entanglement entropy is calculated employing the nonequilibrium Green's function method…

介观与纳米尺度物理 · 物理学 2016-03-02 Yao-Sheng Li , Wen-Long You , Xue-Feng Wang

Dynamical mean field theory is used to study the quantum critical point (QCP) in the doped Hubbard model on a square lattice. The QCP is characterized by a universal scaling form of the self energy and a spin density wave instability at an…

强关联电子 · 物理学 2017-04-05 Wenhu Xu , Gabriel Kotliar , Alexei M. Tsvelik

Here, the entanglement entropy is calculated at the quantum multicritical point of the random transverse-field Ising model (RTIM). We use an efficient implementation of the strong disorder renormalization group method in two and three…

无序系统与神经网络 · 物理学 2024-04-22 István Kovács