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We investigate the entanglement entropy of a massive scalar field nonminimally coupled to spacetime curvature, assuming a static, spherically symmetric background. We discretize the field Hamiltonian by introducing a lattice of spherical…

General Relativity and Quantum Cosmology · Physics 2025-02-24 Alessio Belfiglio , Orlando Luongo , Stefano Mancini

We review some recent results on entanglement in the Quantum Spherical Model (QSM). The focus lays on the physical results rather than the mathematical details. Specifically, we study several entanglement-related quantities, such…

Statistical Mechanics · Physics 2023-06-28 Sascha Wald , Raul Arias , Vincenzo Alba

We discuss the scaling of entanglement entropy in the random singlet phase (RSP) of disordered quantum magnetic chains of general spin-S. Through an analysis of the general structure of the RSP, we show that the entanglement entropy scales…

Quantum Physics · Physics 2009-11-13 A. Saguia , M. S. Sarandy , B. Boechat , M. A. Continentino

The use of finite entanglement scaling with matrix product states (MPS) has become a crucial tool for studying 1+1d critical lattice theories, especially those with emergent conformal symmetry. We argue that finite entanglement introduces a…

Strongly Correlated Electrons · Physics 2024-03-08 Rui-Zhen Huang , Long Zhang , Andreas M. Läuchli , Jutho Haegeman , Frank Verstraete , Laurens Vanderstraeten

We compute the entanglement and R\'enyi entropy growth after a global quench in various dimensions in free scalar field theory. We study two types of quenches: a boundary state quench and a global mass quench. Both of these quenches are…

High Energy Physics - Theory · Physics 2017-05-02 Jordan S. Cotler , Mark P. Hertzberg , Márk Mezei , Mark T. Mueller

Universal logarithmic terms in the entanglement entropy appear at quantum critical points (QCPs) in one dimension (1D) and have been predicted in 2D at QCPs described by 2D conformal field theories. The entanglement entropy in a strip…

Strongly Correlated Electrons · Physics 2017-12-13 Michael P. Zaletel , Jens H. Bardarson , Joel E. Moore

Quantum systems can exhibit a great deal of universality at low temperature due to the structure of ground states and the critical points separating distinct states. On the other hand, quantum time evolution of the same systems involves all…

Disordered Systems and Neural Networks · Physics 2014-06-11 Ronen Vosk , Ehud Altman

Exactly solving a spinless fermionic system in two and three dimensions, we investigate the scaling behavior of the block entropy in critical and non-critical phases. The scaling of the block entropy crucially depends on the nature of the…

Quantum Physics · Physics 2012-04-25 Weifei Li , Letian Ding , Rong Yu , Tommaso Roscilde , Stephan Haas

The entanglement properties of quenched quantum systems have been studied for a decade, however results in dimensions other than $d=1$ are generally lacking. We remedy this by investigating the entanglement properties of bosonic critical…

Quantum Gases · Physics 2016-07-27 Yonah Lemonik , Aditi Mitra

We establish a general scaling law for the entanglement of a large class of ground states and dynamically evolving states of quantum spin chains: we show that the geometric entropy of a distinguished block saturates, and hence follows an…

Quantum Physics · Physics 2009-11-13 Jens Eisert , Tobias J. Osborne

We study the entanglement entropy in lattice field theory using a simulation algorithm based on Jarzynski's theorem. We focus on the entropic c-function for the Ising model in two and in three dimensions: after validating our algorithm…

Quantum Physics · Physics 2023-06-21 Andrea Bulgarelli , Marco Panero

Entanglement measures have emerged as one of the versatile probes to diagnose quantum phases and their transitions. Universal features in them expand their applicability to a range of systems, including those with quenched disorder. In this…

Disordered Systems and Neural Networks · Physics 2024-07-18 Subrata Pachhal , Adhip Agarwala

Entanglement is a vital property of multipartite quantum systems, characterised by the inseparability of quantum states of objects regardless of their spatial separation. Generation of entanglement between increasingly macroscopic and…

We analyze the entanglement properties of spins (qubits) close to the boundary of spin chains in the vicinity of a quantum critical point and show that the concurrence at the boundary is significantly different from the one of bulk spins.…

Mesoscale and Nanoscale Physics · Physics 2009-07-23 T. Stauber , F. Guinea

We study the critical behavior and the ground-state entanglement of a large class of $\mathrm{su}(1|1)$ supersymmetric spin chains with a general (not necessarily monotonic) dispersion relation. We show that this class includes several…

We discuss the Renyi entanglement entropies of descendant states in critical one-dimensional systems with boundaries, that map to boundary conformal field theories in the scaling limit. We unify the previous conformal-field-theory…

Statistical Mechanics · Physics 2016-09-27 Luca Taddia , Fabio Ortolani , Tamás Pálmai

We study the field dependence of the entanglement of formation in anisotropic S=1/2 antiferromagnetic chains and two-leg ladders displaying a T=0 field-driven quantum phase transition. The analysis is carried out via Quantum Monte Carlo…

Quantum Physics · Physics 2007-05-23 Tommaso Roscilde , Paola Verrucchi , Andrea Fubini , Stephan Haas , Valerio Tognetti

The efficiency of time dependent density matrix renormalization group methods is intrinsically connected with the rate of entanglement growth. We introduce a new measure of entanglement in the space of operators and show, for transverse…

Quantum Physics · Physics 2009-03-04 Tomaz Prosen , Iztok Pizorn

The quantum entanglement $E$ of a bipartite quantum Ising chain is compared with the mutual information $I$ between the two parts after a local measurement of the classical spin configuration. As the model is conformally invariant, the…

Statistical Mechanics · Physics 2015-06-11 Jaegon Um , Hyunggyu Park , Haye Hinrichsen

We investigate the quench dynamics of the transverse field Ising model on a finite fully connected lattice as a prime example of non-equilibrium mean field dynamics. Using a rate function approach we compute the leading order corrections to…

Statistical Mechanics · Physics 2019-10-24 Ingo Homrighausen , Stefan Kehrein