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The correction to the area law for the bipartite min-entanglement entropy of weakly and locally interacting fermions is calculated based on a perturbative extension of the flow equation holography method. Explicit calculations for the one-…

量子物理 · 物理学 2020-08-03 Yevheniia Cheipesh , Lorenzo Cevolani , Stefan Kehrein

We probe the influence of Lorentz-violating mechanism, treated exactly, on the radiative quantum corrections to critical exponents for massive $q$-deformed O($N$) $\lambda\phi^{4}$ scalar field theories. We attain that task by employing…

高能物理 - 理论 · 物理学 2019-10-09 P. R. S. Carvalho , M. I. Sena-Junior

We study critical dynamics through time evolution of quantum field theories driven to a Lifshitz-like fixed point, with $z>1$, under relevant deformations. The deformations we consider are fast smooth quantum quenches, namely when the…

高能物理 - 理论 · 物理学 2019-06-18 M. Reza Mohammadi Mozaffar , Ali Mollabashi

Quantum phase transitions occur at zero temperature and involve the appearance of long-range correlations. These correlations are not due to thermal fluctuations but to the intricate structure of a strongly entangled ground state of the…

量子物理 · 物理学 2008-11-26 G. Vidal , J. I. Latorre , E. Rico , A. Kitaev

We systematically investigate the finite size scaling behavior of the R\'enyi entanglement entropy (EE) of several representative 2d quantum many-body systems between a subregion and its complement, with smooth boundaries as well as…

强关联电子 · 物理学 2024-07-18 Menghan Song , Jiarui Zhao , Zi Yang Meng , Cenke Xu , Meng Cheng

We study the entanglement properties of deconfined quantum critical points. We show not only that these critical points may be distinguished by their entanglement structure but also that they are in general more highly entangled that…

强关联电子 · 物理学 2013-05-30 Brian Swingle , T. Senthil

We investigate the deconfined quantum critical point (DQCP) candidate in the extended hard-core Bose-Hubbard model on the kagome lattice, employing quantum Monte Carlo simulations to study the entanglement entropy and the $U(1)$ disorder…

强关联电子 · 物理学 2026-01-21 Yan-Cheng Wang , Yan Zheng , Xue-Feng Zhang

We establish the entangling power of a unitary operator on a general finite-dimensional bipartite quantum system with and without ancillas, and give relations between the entangling power based on the von Neumann entropy and the entangling…

量子物理 · 物理学 2009-11-07 Xiaoguang Wang , Barry C. Sanders , Dominic W. Berry

We review studies of entanglement entropy in systems with quenched randomness, concentrating on universal behavior at strongly random quantum critical points. The disorder-averaged entanglement entropy provides insight into the quantum…

无序系统与神经网络 · 物理学 2015-05-13 Gil Refael , Joel E. Moore

For pure states of multi-dimensional quantum lattice systems, which in a convenient computational basis have amplitude and phase structure of sufficiently rapid decorrelation, we construct high fidelity approximations of relatively low…

量子物理 · 物理学 2025-03-18 Michael Aizenman , Simone Warzel

In this work, building on state-of-the-art quantum Monte Carlo simulations, we perform systematic finite-size scaling of both entanglement and participation entropies for long-range Heisenberg chain with unfrustrated power-law decaying…

强关联电子 · 物理学 2025-01-08 Jiarui Zhao , Nicolas Laflorencie , Zi Yang Meng

Entanglement exhibits universal behavior near the ground-state critical point where correlations are long-ranged and the thermodynamic entropy is vanishing. On the other hand, a quantum quench imparts extensive energy and results in a…

量子气体 · 物理学 2022-02-11 Sanku Paul , Paraj Titum , Mohammad F. Maghrebi

A measure of how sensitive the entanglement entropy is in a quantum system, has been proposed and its information geometric origin is discussed. It has been demonstrated for two exactly solvable spin systems, that thermodynamic criticality…

统计力学 · 物理学 2025-10-02 Pritam Sarkar

The entanglement entropy for a quantum critical system across a boundary with a corner exhibits a sub-leading logarithmic scaling term with a scale-invariant coefficient. Using a Numerical Linked Cluster Expansion, we calculate this…

强关联电子 · 物理学 2014-06-30 Ann B. Kallin , E. M. Stoudenmire , Paul Fendley , Rajiv R. P. Singh , Roger G. Melko

We analyze the finite size corrections to entanglement in quantum critical systems. By using conformal symmetry and density functional theory, we discuss the structure of the finite size contributions to a general measure of ground state…

量子物理 · 物理学 2009-11-13 F. C. Alcaraz , M. S. Sarandy

We present a general theory of the corrections to the asymptotic behaviour of the Renyi entropies which measure the entanglement of an interval A of length L with the rest of an infinite one-dimensional system, in the case when this is…

统计力学 · 物理学 2011-02-16 John Cardy , Pasquale Calabrese

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

With Hubbard model, the entanglement scaling behavior in a two-dimensional itinerant system is investigated. It has been found that, on the two sides of the critical point denoting an inherent quantum phase transition (QPT), the…

量子物理 · 物理学 2009-11-10 Jiaxiang Wang , Sabre Kais

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

In this chapter we discuss aspects of the quantum critical behavior that occurs at a quantum phase transition separating a topological phase from a conventionally ordered one. We concentrate on a family of quantum lattice models, namely…

强关联电子 · 物理学 2015-05-14 Claudio Castelnovo , Simon Trebst , Matthias Troyer