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Real-space renormalization-group techniques for quantum systems can be divided into two basic categories - those capable of representing correlations following a simple boundary (or area) law, and those which are not. I discuss the scaling…

强关联电子 · 物理学 2013-04-03 Andrew J. Ferris

We explore entanglement entropy of a cap-like region for a generic quantum field theory residing in the Bunch-Davies vacuum on de Sitter space. Entanglement entropy in our setup is identical with the thermal entropy in the static patch of…

高能物理 - 理论 · 物理学 2015-09-30 Omer Ben-Ami , Dean Carmi , Michael Smolkin

We introduce a "renormalized entanglement entropy" which is intrinsically UV finite and is most sensitive to the degrees of freedom at the scale of the size R of the entangled region. We illustrated the power of this construction by showing…

高能物理 - 理论 · 物理学 2015-03-20 Hong Liu , Mark Mezei

We investigate entanglement properties of infinite 1D and 2D spin-1/2 quantum Ising and XXZ models. Tensor network methods (MPS in 1D and TERG and CTMRG in 2D) are used to model the ground state of the studied models. Different entanglement…

量子物理 · 物理学 2016-07-27 B. Braiorr-Orrs , M. Weyrauch , M. V. Rakov

We study the asymptotic bipartite entanglement entropy of the quantum trajectories of a free-fermionic system, when subject to a continuous nonlocal monitoring. The measurements are described by Gaussian-preserving two-point operators,…

量子物理 · 物理学 2023-09-20 Angelo Russomanno , Giulia Piccitto , Davide Rossini

We use the conformal invariance and the holographic correspondence to fully specify the dependence of entanglement entropy on the extrinsic geometry of the 2d surface $\Sigma$ that separates two subsystems of quantum strongly coupled…

高能物理 - 理论 · 物理学 2008-11-26 Sergey N. Solodukhin

Entanglement, which quantifies non-local correlations in quantum mechanics, is the fascinating concept behind much of aspiration towards quantum technologies. Nevertheless, directly measuring the entanglement of a many-particle system is…

无序系统与神经网络 · 物理学 2019-01-02 Richard Berkovits

Entanglement entropy provides a powerful characterization of two-dimensional gapped topological phases of quantum matter, intimately tied to their description by topological quantum field theories (TQFTs). Fracton topological orders are…

强关联电子 · 物理学 2018-03-08 Han Ma , A. T. Schmitz , S. A. Parameswaran , Michael Hermele , Rahul M. Nandkishore

In this paper, we study the entanglement entropy in string theory in the simplest setup of dividing the nine dimensional space into two halves. This corresponds to the leading quantum correction to the horizon entropy in string theory on…

高能物理 - 理论 · 物理学 2015-01-07 Song He , Tokiro Numasawa , Tadashi Takayanagi , Kento Watanabe

Using a very efficient numerical algorithm of the strong disorder renormalization group method we have extended the investigations about the critical behavior of the random transverse-field Ising model in three and four dimensions, as well…

无序系统与神经网络 · 物理学 2015-05-20 Istvan A. Kovacs , Ferenc Igloi

We study the entanglement entropy in a relativistic quantum field theory for regions which are not included in a single spatial hyperplane. This geometric configuration cannot be treated with the Euclidean time method and the replica trick.…

高能物理 - 理论 · 物理学 2011-09-30 David D. Blanco , Horacio Casini

Entanglement between different regions in momentum space is studied for ground states of some spin-chain Hamiltonians: the XY model, the Ising model in a transverse field (ITF) and the XXZ models. In the XY and ITF cases, entanglement only…

量子物理 · 物理学 2016-06-01 Miguel Ibáñez-Berganza , Javier Rodríguez-Laguna , Germán Sierra

The properties of the entanglement entropy (EE) in one-dimensional disordered interacting systems are studied. Anderson localization leaves a clear signature on the average EE, as it saturates on length scale exceeding the localization…

介观与纳米尺度物理 · 物理学 2015-06-04 Richard Berkovits

We study the non-equilibrium dynamics of an isolated bipartite quantum system, the sunburst quantum Ising model, under interaction quench. The pre-quench limit of this model is two non-interacting integrable systems, namely a transverse…

量子物理 · 物理学 2024-02-01 Akash Mitra , Shashi C. L. Srivastava

We study entanglement entropy of unusual $\mathbb{Z}_N$ topological stabilizer codes which admit fractional excitations with restricted mobility constraint in a manner akin to fracton topological phases. It is widely known that the…

强关联电子 · 物理学 2024-07-30 Hiromi Ebisu

We investigate the second-order R\'enyi entanglement entropy at the quantum critical point of a spin-1/2 antiferromagnetic Heisenberg model on a columnar dimerized square lattice. The universal constant $\gamma$ in the area-law scaling…

统计力学 · 物理学 2026-05-07 Zhiyan Wang , Zhe Wang , Yi-Ming Ding , Zenan Liu , Zheng Yan , Long Zhang

Quenched disorder - in the sense of the Harris criterion - is generally a relevant perturbation at an absorbing state phase transition point. Here using a strong disorder renormalization group framework and effective numerical methods we…

统计力学 · 物理学 2009-11-10 Jef Hooyberghs , Ferenc Igloi , Carlo Vanderzande

We study the universal properties of eigenstate entanglement entropy across the transition between many-body localized (MBL) and thermal phases. We develop an improved real space renormalization group approach that enables numerical…

无序系统与神经网络 · 物理学 2017-09-18 Philipp T. Dumitrescu , Romain Vasseur , Andrew C. Potter

We calculate the probability distribution of entanglement entropy S across a cut of a finite one dimensional spin chain of length L at an infinite randomness fixed point using Fisher's strong randomness renormalization group (RG). Using the…

统计力学 · 物理学 2017-03-23 Trithep Devakul , Satya N. Majumdar , David A. Huse

Entropic entanglement measures of a two-dimensional system of two Coulombically interacting particles confined in an anisotropic harmonic potential are discussed in dependence on the anisotropy and the interaction strength. The harmonic…

量子物理 · 物理学 2017-07-18 Przemyslaw Koscik , Anna Okopinska