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Related papers: Entanglement Entropy dynamics in Heisenberg chains

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By using the concept of negativity, we investigate entanglement in (1/2,1) mixed-spin Heisenberg systems. We obtain the analytical results of entanglement in small isotropic Heisenberg clusters with only nearest-neighbor (NN) interactions…

Quantum Physics · Physics 2009-11-11 Zhe Sun , XiaoGuang Wang , AnZi Hu , You-Quan Li

We investigate the dynamical evolution of entanglement entropy in a holographic superconductor model by quenching the source term of the dual charged scalar operator. By access to the full background geometry, the holographic entanglement…

High Energy Physics - Theory · Physics 2015-04-17 Xiaojian Bai , Bum-Hoon Lee , Li Li , Jia-Rui Sun , Hai-Qing Zhang

We explore the dynamics of the entanglement entropy near equilibrium in highly-entangled pure states of two quantum-chaotic spin chains undergoing unitary time evolution. We examine the relaxation to equilibrium from initial states with…

Statistical Mechanics · Physics 2015-06-26 Liangsheng Zhang , Hyungwon Kim , David A. Huse

We determine holographically 2-point correlators of gauge invariant operators with large conformal weights and entanglement entropy of strips for a time-dependent anisotropic 5-dimensional asymptotically anti-de Sitter spacetime. At the…

High Energy Physics - Theory · Physics 2015-09-02 Christian Ecker , Daniel Grumiller , Stefan A. Stricker

We first propose and study a quantum toy model of black hole dynamics. The model is unitary, displays quantum thermalization, and the Hamiltonian couples every oscillator with every other, a feature intended to emulate the color sector…

High Energy Physics - Theory · Physics 2016-12-21 Javier M. Magan

A powerful perspective in understanding non-equilibrium quantum dynamics is through the time evolution of its entanglement content. Yet apart from a few guiding principles for the entanglement entropy, to date, not much else is known about…

Strongly Correlated Electrons · Physics 2020-03-18 W. Zhu , Zhoushen Huang , Yin-Chen He , Xueda Wen

We study the evolution and scaling of the entanglement entropy after two types of quenches for a 2+1 field theory, using holographic techniques. We study a thermal quench, dual to the addition of a shell of uncharged matter to four…

High Energy Physics - Theory · Physics 2011-08-11 Tameem Albash , Clifford V. Johnson

The scaling of entanglement entropy for the nearest neighbor antiferromagnetic Heisenberg spin model is studied computationally for clusters joined by a single bond. Bisecting the balanced three legged Bethe Cluster, gives a second Renyi…

Strongly Correlated Electrons · Physics 2017-10-13 Barry A. Friedman , Gregory C. Levine

Entanglement in the ground state of the XY model on the infinite chain can be measured by the von Neumann entropy of a block of neighboring spins. We study a double scaling limit: the size of the block is much larger then 1 but much smaller…

Quantum Physics · Physics 2007-10-04 F. Franchini , A. R. Its , B. -Q. Jin , V. E. Korepin

We study the dynamics of an isotropic spin-1/2 Heisenberg chain starting in a domain-wall initial condition, where the spins are initially up on the left half-line and down on the right half-line. We focus on the long-time behavior of the…

Strongly Correlated Electrons · Physics 2018-01-31 Grégoire Misguich , Kirone Mallick , P. L. Krapivsky

We study the entanglement entropy of blocks of contiguous spins in non-periodic (quasi-periodic or more generally aperiodic) critical Heisenberg, XX and quantum Ising spin chains, e.g. in Fibonacci chains. For marginal and relevant…

Statistical Mechanics · Physics 2009-11-13 F. Igloi , R. Juhasz , Z. Zimboras

We study dynamics of quantum entanglement in smooth global quenches with a finite rate, by computing the time evolution of entanglement entropy in 1 + 1 dimensional free scalar theory with time-dependent masses which start from a nonzero…

High Energy Physics - Theory · Physics 2018-01-15 Mitsuhiro Nishida , Masahiro Nozaki , Yuji Sugimoto , Akio Tomiya

We carry out a systematic study of entanglement entropy in relativistic quantum field theory. This is defined as the von Neumann entropy S_A=-Tr rho_A log rho_A corresponding to the reduced density matrix rho_A of a subsystem A. For the…

High Energy Physics - Theory · Physics 2011-02-16 Pasquale Calabrese , John Cardy

Disorder free many-body localization (MBL) can occur in interacting systems that can dynamically generate their own disorder. We address the thermal-MBL phase transition of two isotropic Heisenberg spin chains that are quasi-periodically…

Disordered Systems and Neural Networks · Physics 2024-09-04 K. G. S. H. Gunawardana , Bruno Uchoa

We present a novel numerical method for the evaluation of dynamical response functions at finite temperatures in one-dimensional strongly correlated systems. The approach is based on the density-matrix renormalization group method, combined…

Strongly Correlated Electrons · Physics 2009-11-23 J. Kokalj , P. Prelovsek

Numerical studies of the reduced density matrix of a gapped spin-1/2 Heisenberg antiferromagnet on a two-leg ladder find that it has the same form as the Gibbs density matrix of a gapless spin-1/2 Heisenberg antiferromagnetic chain at a…

Strongly Correlated Electrons · Physics 2013-08-28 Xiao Chen , Eduardo Fradkin

We study holographic entanglement entropy of non-local field theories both at extremality and finite temperature. The gravity duals, constructed in arXiv:1208.3469 [hep-th], are characterized by a parameter $w$. Both the zero temperature…

High Energy Physics - Theory · Physics 2014-06-18 Da-Wei Pang

We study the dynamics of entanglement in the infinite asymmetric XY spin chain, in an applied transverse field. The system is prepared in a thermal equilibrium state (ground state at zero temperature) at the initial instant, and it starts…

Quantum Physics · Physics 2009-10-20 Aditi Sen De , Ujjwal Sen , Maciej Lewenstein

Integrating out high energy degrees of freedom to yield a low energy effective field theory leads to a loss of information with a concomitant increase in entropy. We obtain the effective field theory of a light scalar field interacting with…

High Energy Physics - Theory · Physics 2018-03-21 Daniel Boyanovsky

We study the von Neumann entropy of the partial trace of a system of two two-level atoms (qubits) in a dispersive cavity where the atoms are interacting collectively with a single mode electromagnetic field in the cavity. We make a contrast…

Quantum Physics · Physics 2021-10-01 Ram Narayan Deb