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The rainbow chain is an inhomogenous exactly solvable local spin model that, in its ground state, displays a half-chain entanglement entropy growing linearly with the system size. Although many exact results about the rainbow chain are…

Strongly Correlated Electrons · Physics 2017-03-20 Javier Rodríguez-Laguna , Jérôme Dubail , Giovanni Ramírez , Pasquale Calabrese , Germán Sierra

We consider a one-parameter family of matrix product states of spin one particles on a periodic chain and study in detail the entanglement properties of such a state. In particular we calculate exactly the entanglement of one site with the…

Quantum Physics · Physics 2009-11-13 S. Alipour , V. Karimipour , L. Memarzadeh

In this work we study non-Hermitian extensions of the paradigmatic spin-1/2 XY chain in a magnetic field. Using the mapping of the model to free fermion form, we provide analytical insights into the energy spectrum of the non-Hermitian…

Quantum Physics · Physics 2025-07-15 D. C. Liu , Murray T. Batchelor

In two dimensional isotropic scale invariant theories, the time scaling of the entanglement entropy of a segment is fixed via the conformal symmetry. We consider scale invariance in a more general sense and show that in integrable theories…

High Energy Physics - Theory · Physics 2021-06-29 M. Reza Mohammadi Mozaffar , Ali Mollabashi

The symmetry-resolved R\'enyi entanglement entropy is the R\'enyi entanglement entropy of each symmetry sector of a density matrix $\rho$. This experimentally relevant quantity is known to have rich theoretical connections to conformal…

Quantum Physics · Physics 2022-07-14 Nick G. Jones

We study a quantum phase transition between a phase which is topologically ordered and one which is not. We focus on a spin model, an extension of the toric code, for which we obtain the exact ground state for all values of the coupling…

Strongly Correlated Electrons · Physics 2009-09-29 C. Castelnovo , C. Chamon

As quantum technologies advance, the ability to generate increasingly large quantum states has experienced rapid development. In this context, the verification and estimation of large entangled systems represents one of the main challenges…

Quantum Physics · Physics 2022-03-30 Joshua Morris , Valeria Saggio , Aleksandra Gočanin , Borivoje Dakić

The entanglement entropy (EE) of quantum systems is often used as a test of low-energy descriptions by conformal field theory (CFT). Here we point out that this is not a reliable indicator, as the EE often shows the same behavior even when…

Strongly Correlated Electrons · Physics 2017-08-02 Pranay Patil , Ying Tang , Emanuel Katz , Anders W. Sandvik

We consider the R\'enyi entropies $S_n(\ell)$ in the one dimensional spin-1/2 Heisenberg XX chain in a magnetic field. The case n=1 corresponds to the von Neumann ``entanglement'' entropy. Using a combination of methods based on the…

Statistical Mechanics · Physics 2010-09-01 Pasquale Calabrese , Fabian H. L. Essler

Entanglement detection is essential in quantum information science and quantum many-body physics. It has been proved that entanglement exists almost surely for a random quantum state, while the realizations of effective entanglement…

Quantum Physics · Physics 2022-12-02 Pengyu Liu , Zhenhuan Liu , Shu Chen , Xiongfeng Ma

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…

Disordered Systems and Neural Networks · Physics 2009-11-13 Rong Yu , Hubert Saleur , Stephan Haas

The block entanglement entropy and fluctuations are investigated in one dimension in finite size correlated electron systems using the Gutzwiller wave function as a prototype correlated electron state. Entanglement entropy shows logarithmic…

Strongly Correlated Electrons · Physics 2014-07-07 Archak Purkayastha , V. Subrahmanyam

Despite the central importance of quantum entanglement in quantum technologies, the understanding of the optimal ways to exploit it is still beyond our reach, and even measuring entanglement in an operationally meaningful way is…

Quantum Physics · Physics 2026-04-03 Ludovico Lami , Mario Berta , Bartosz Regula

The entanglement entropy can be an effective diagnostic tool for probing topological phase transitions. In one-dimensional single particle systems, the periodic driving generates a variety of topological phases and edge modes. In this work,…

Quantum Physics · Physics 2026-01-07 Siyuan Cheng , Rui Xie , Xiaosen Yang , Yuee Xie , Yuanping Chen

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…

High Energy Physics - Theory · Physics 2013-10-30 Emanuele Levi , Olalla A. Castro-Alvaredo , Benjamin Doyon

We study the R\'enyi entanglement entropy and the Shannon mutual information for a class of spin-1/2 quantum critical XXZ chains with random coupling constants which are partially correlated. In the XX case, distinctly from the usual…

Disordered Systems and Neural Networks · Physics 2016-02-22 João C. Getelina , Francisco C. Alcaraz , José A. Hoyos

The growth in the demand for precisely crafted many-body systems of spin-$1/2$ particles/qubits is due to their top-notch versatility in application-oriented quantum-enhanced protocols and the fundamental tests of quantum theory. Here we…

Quantum Physics · Physics 2020-10-14 Artur Niezgoda , Miłosz Panfil , Jan Chwedeńczuk

We discuss the relation between entanglement and criticality in translationally invariant harmonic lattice systems with non-randon, finite-range interactions. We show that the criticality of the system as well as validity or break-down of…

Quantum Physics · Physics 2009-11-11 R. G. Unanyan , M. Fleischhauer

The scaling of entanglement with subsystem size encodes key information about phases and criticality, but the von Neumann entropy is costly to access in experiments and simulations, often requiring full state tomography. The second R\'enyi…

Strongly Correlated Electrons · Physics 2026-01-09 Hatem Barghathi , Adrian Del Maestro

In this paper, we study the entanglement properties of a spin-1 model the exact ground state of which is given by a Matrix Product state. The model exhibits a critical point transition at a parameter value a=0. The longitudinal and…

Strongly Correlated Electrons · Physics 2015-06-25 Amit Tribedi , Indrani Bose