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We study the time evolution of the entanglement entropy of a one-dimensional nonintegrable spin chain, starting from random nonentangled initial pure states. We use exact diagonalization of a nonintegrable quantum Ising chain with…

Quantum Physics · Physics 2013-09-24 Hyungwon Kim , David A. Huse

The linear growth of entanglement after a quench from a state with short-range correlations is a universal feature of many body dynamics. It has been shown to occur in integrable and chaotic systems undergoing either Hamiltonian, Floquet or…

Statistical Mechanics · Physics 2024-12-13 Konstantinos Chalas , Pasquale Calabrese , Colin Rylands

The entanglement dynamics of spin chains is investigated using Heisenberg-XY spin Hamiltonian dynamics. The various measures of two-qubit entanglement are calculated analytically in the time-evolved state starting from initial states with…

Quantum Physics · Physics 2009-11-10 V. Subrahmanyam , Arul Lakshminarayan

We discuss the semiclassical limit of the entanglement for the class of closed pure systems. By means of analytical and numerical calculations we obtain two main results: (i) the short-time entanglement does not depend on Planck's constant…

Quantum Physics · Physics 2009-11-10 Renato M. Angelo , Kyoko Furuya

Entanglement in quantum XY spin chains of arbitrary length is investigated via a recently-developed global measure suitable for generic quantum many-body systems. The entanglement surface is determined over the phase diagram, and found to…

We investigate the propagation of local bipartite quantum correlations, along with the tripartite mutual information to characterize the information scrambling through dynamical evolution of spin chains. Starting from an initial state with…

Quantum Physics · Physics 2022-08-23 Saikat Sur , V. Subrahmanyam

A key conjecture about the evolution of complex quantum systems towards an ergodic steady state, known as scrambling, is that this process acquires universal features when it is most efficient. We develop a single-parameter scaling theory…

Quantum Physics · Physics 2025-03-05 Tara Kalsi , Alessandro Romito , Henning Schomerus

We study the dynamics of out-of-time-ordered correlators (OTOCs) and entanglement of entropy as quantitative measures of information propagation in disordered many-body systems exhibiting Floquet time-crystal (FTC) phases. We find that OTOC…

Quantum Physics · Physics 2025-03-07 Himanshu Sahu , Fernando Iemini

We investigate the trends of information backflow associated with the dynamics of a sub-part of a disordered spin-1/2 transverse field Heisenberg chain for different regimes of the Hamiltonian. Towards this aim, the decay profile of…

Quantum Physics · Physics 2020-03-16 Sudipto Singha Roy , Utkarsh Mishra , Debraj Rakshit

The non-equilibrium dynamics of disordered many-body quantum systems after a global quantum quench unveils important insights about the competition between interactions and disorder, yielding in particular an insightful perspective on many…

Disordered Systems and Neural Networks · Physics 2023-03-07 Youcef Mohdeb , Javad Vahedi , Ravindra N. Bhatt , Stephan Haas , Stefan Kettemann

We study the entanglement dynamics of quantum many-body systems and prove the following: (I) For any geometrically local Hamiltonian on a lattice, starting from a random product state the entanglement entropy is bounded away from the…

Quantum Physics · Physics 2022-04-22 Yichen Huang

Quantum scrambling often gives rise to short-time exponential growth in out-of-time-ordered correlators (OTOCs). The scrambling rate over an isolated saddle point at finite temperature is shown here to be reduced by a hierarchy of quenching…

Chaotic Dynamics · Physics 2024-03-25 Vijay Ganesh Sadhasivam , Andrew C. Hunt , Lars Meuser , Yair Litman , Stuart C. Althorpe

We show that the correlation and entanglement dynamics of spin systems can be understood in terms of propagation of spin waves. This gives a simple, physical explanation of the behaviour seen in a number of recent works, in which a…

Quantum Physics · Physics 2009-11-13 T. S. Cubitt , J. I. Cirac

Strongly long-range interacting quantum systems---those with interactions decaying as a power-law $1/r^{\alpha}$ in the distance $r$ on a $D$-dimensional lattice for $\alpha\le D$---have received significant interest in recent years. They…

Quantum Physics · Physics 2020-07-15 Andrew Y. Guo , Minh C. Tran , Andrew M. Childs , Alexey V. Gorshkov , Zhe-Xuan Gong

We investigate the entanglement spreading in the anisotropic spin-1/2 Heisenberg (XXZ) chain after a geometric quench. This corresponds to a sudden change of the geometry of the chain or, in the equivalent language of interacting fermions…

Strongly Correlated Electrons · Physics 2014-08-27 Vincenzo Alba , Fabian Heidrich-Meisner

We comment on the investigation of the connection between chaos and dynamically generated entanglement in Phys. Rev. E, \textbf{83}, 016207, (2011). While, in the referred paper, the authors give an explicit example of a state initially…

Quantum Physics · Physics 2016-01-06 Vaibhav Madhok

We compute the entanglement between separated blocks in certain spin models showing that at criticality this entanglement is a function of the ratio of the separation to the length of the blocks and can be written as a product of a power…

Quantum Physics · Physics 2009-08-05 H. Wichterich , J. Molina-Vilaplana , S. Bose

We study quantum chaos for systems with more than one degree of freedom, for which we present an analysis of the dynamics of entanglement. Our analysis explains the main features of entanglement dynamics and identifies entanglement-based…

Quantum Physics · Physics 2007-05-23 Shohini Ghose , Barry C. Sanders

We investigate multipartite entanglement dynamics in disordered spin-1/2 lattice models exhibiting a transition from integrability to quantum chaos. Borrowing from the recently introduced generalized entanglement framework, we construct…

Quantum Physics · Physics 2009-11-11 Simone Montangero , Lorenza Viola

We investigate the dynamics of multipartite entanglement after quenches from initial states which generate multiplets of quasiparticle excitations beyond the usual pair structure. We focus on the dynamics of tripartite entanglement through…

Statistical Mechanics · Physics 2024-08-23 Clément Berthiere