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We investigate the finite-size corrections of the entanglement entropy of critical ladders and propose a conjecture for its scaling behavior. The conjecture is verified for free fermions, Heisenberg and quantum Ising ladders. Our results…

统计力学 · 物理学 2015-06-22 J. C. Xavier , F. B. Ramos

We study the scaling behavior of the entanglement entropy of two dimensional conformal quantum critical systems, i.e. systems with scale invariant wave functions. They include two-dimensional generalized quantum dimer models on bipartite…

统计力学 · 物理学 2009-03-28 Benjamin Hsu , Michael Mulligan , Eduardo Fradkin , Eun-Ah Kim

We examine the scaling behavior of the entanglement entropy for the 2D quantum dimer model (QDM) at criticality and derive the universal finite sub-leading correction $\gamma_{QCP}$. We compute the value of $\gamma_{QCP}$ without…

统计力学 · 物理学 2010-11-10 Benjamin Hsu , Eduardo Fradkin

We develop a nonequilibrium increment method to compute the R\'enyi entanglement entropy and investigate its scaling behavior at the deconfined critical (DQC) point via large-scale quantum Monte Carlo simulations. To benchmark the method,…

强关联电子 · 物理学 2022-01-04 Jiarui Zhao , Yan-Cheng Wang , Zheng Yan , Meng Cheng , Zi Yang Meng

We compute universal finite corrections to entanglement entropy for generalised quantum Lifshitz models in arbitrary odd spacetime dimensions. These are generalised free field theories with Lifshitz scaling symmetry, where the dynamical…

高能物理 - 理论 · 物理学 2019-09-04 J. Angel-Ramelli , V. Giangreco M. Puletti , L. Thorlacius

We study the entanglement entropy of theories that are derived from relevant perturbation of given CFTs for regions with a singular boundary by using the AdS/CFT correspondence. In the smooth case, it is well known that a relevant…

高能物理 - 理论 · 物理学 2019-02-26 Mostafa Ghasemi , Shahrokh Parvizi

We carry out a numerical study of the bi-partite entanglement entropy in the gapped regime of two paradigmatic quantum spin chain models: the Ising chain in an external magnetic field and the anti-ferromagnetic XXZ model. The universal…

高能物理 - 理论 · 物理学 2013-10-30 Emanuele Levi , Olalla A. Castro-Alvaredo , Benjamin Doyon

Subdominant contributions to the entanglement entropy of quantum fields include logarithmic corrections to the area law characterized by universal coefficients that are independent of the ultraviolet regulator and capture detailed…

高能物理 - 理论 · 物理学 2021-12-28 Rodolfo Soldati , L. S. Menicucci , N. Yokomizo

The entanglement entropy of a pure quantum state of a bipartite system $A \cup B$ is defined as the von Neumann entropy of the reduced density matrix obtained by tracing over one of the two parts. Critical ground states of local…

强关联电子 · 物理学 2008-11-26 Eduardo Fradkin , Joel E. Moore

We examine the influence of exact Lorentz-violating symmetry mechanism on the radiative quantum corrections to the critical exponents for massless $q$-deformed O($N$) $\lambda\phi^{4}$ scalar field theories. For that, we employ three…

高能物理 - 理论 · 物理学 2019-10-03 P. R. S. Carvalho , M. I. Sena-Junior

Much has been learned about universal properties of entanglement entropies in ground states of quantum many-body lattice systems. Here we unveil universal properties of the average bipartite entanglement entropy of eigenstates of the…

统计力学 · 物理学 2018-12-04 Lev Vidmar , Lucas Hackl , Eugenio Bianchi , Marcos Rigol

At a quantum critical point, bipartite entanglement entropies have universal quantities which are subleading to the ubiquitous area law. For Renyi entropies, these terms are known to be similar to the von Neumann entropy, while being much…

Although the leading-order scaling of entanglement entropy is non-universal at a quantum critical point (QCP), sub-leading scaling can contain universal behaviour. Such universal quantities are commonly studied in non-interacting field…

强关联电子 · 物理学 2013-10-08 Stephen Inglis , Roger G. Melko

Entanglement renormalization can be viewed as an encoding circuit for a family of approximate quantum error correcting codes. The logical information becomes progressively more well-protected against erasure errors at larger length scales.…

量子物理 · 物理学 2017-04-14 Isaac H. Kim , Michael J. Kastoryano

In the presence of a conserved quantity, symmetry-resolved entanglement entropies are a refinement of the usual notion of entanglement entropy of a subsystem. For critical 1d quantum systems, it was recently shown in various contexts that…

量子物理 · 物理学 2021-03-10 Benoit Estienne , Yacine Ikhlef , Alexi Morin-Duchesne

In the vacuum state of a CFT, the entanglement entropy of singular surfaces contains a logarithmic universal term which is only due to the singularity of the entangling surface. We consider the relevant perturbation of a three dimensional…

高能物理 - 理论 · 物理学 2018-03-14 Mostafa Ghasemi , Shahrokh Parvizi

We introduce the (logarithmic) bipartite fidelity of a quantum system $A\cup B$ as the (logarithm of the) overlap between its ground-state wave function and the ground-state one would obtain if the interactions between two complementary…

强关联电子 · 物理学 2011-03-29 Jérôme Dubail , Jean-Marie Stéphan

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 study entanglement fluctuations and quantum error correction in the weakly monitored volume-law phase of quantum automaton circuits subject to repeated local measurements. We numerically observe that the entanglement entropy exhibits…

量子物理 · 物理学 2023-01-19 Yiqiu Han , Xiao Chen

A formidable perspective in understanding quantum criticality of a given many-body system is through its entanglement contents. Until now, most progress are only limited to the disorder-free case. Here, we develop an efficient scheme to…

强关联电子 · 物理学 2022-12-01 Qicheng Tang , W. Zhu
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