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We investigate the evolution of complexity and entanglement following a quench in a one-dimensional topological system, namely the Su-Schrieffer-Heeger model. We demonstrate that complexity can detect quantum phase transitions and shows…

High Energy Physics - Theory · Physics 2020-11-13 Tibra Ali , Arpan Bhattacharyya , S. Shajidul Haque , Eugene H. Kim , Nathan Moynihan

Measurements destroy entanglement. Building on ideas used to study `quantum disentangled liquids', we explore the use of this effect to characterize states of matter. We focus on systems with multiple components, such as charge and spin in…

Strongly Correlated Electrons · Physics 2020-03-25 Daniel Ben-Zion , John McGreevy , Tarun Grover

We study the holographic entanglement entropy under small deformations of AdS, including time-dependence. It is found through perturbative analysis that the divergent terms are not affected and the change appears only in the finite terms.…

High Energy Physics - Theory · Physics 2016-09-21 Nakwoo Kim , Jung Hun Lee

We study holographic entanglement entropy in 5-dimensional charged black brane geometry obtained from Einstein-SU(2)Yang-Mills theory defined in asymptotically AdS space. This gravity system undergoes second order phase transition near its…

High Energy Physics - Theory · Physics 2023-02-24 Chanyong Park , Gitae Kim , Ji-seong Chae , Jae-Hyuk Oh

We consider the time evolution of two entropy-like quantities, the holographic entanglement entropy and causal holographic information, in a model of holographic thermalization dual to the gravitational collapse of a thin planar shell.…

High Energy Physics - Theory · Physics 2014-09-24 Ville Keranen , Hiromichi Nishimura , Stefan Stricker , Olli Taanila , Aleksi Vuorinen

For charged black hole, within the grand canonical ensemble, the decay rate from thermal AdS to the black hole at a fixed high temperature increases with the chemical potential. We check that this feature is well captured by a…

High Energy Physics - Theory · Physics 2015-06-04 B. Chandrasekhar , Sudipta Mukherji , Anurag Sahay , Swarnendu Sarkar

In this work, we investigate local quench dynamics in two-dimensional conformal field theories using Krylov space methods. We derive Lanczos coefficients, spread complexity, and Krylov entropies for local joining and splitting quenches in…

High Energy Physics - Theory · Physics 2025-10-21 Pawel Caputa , Giuseppe Di Giulio

We study the temporal evolution of the circuit complexity after the local quench where two harmonic chains are suddenly joined, choosing the initial state as the reference state. We discuss numerical results for the complexity for the…

High Energy Physics - Theory · Physics 2021-09-10 Giuseppe Di Giulio , Erik Tonni

We study holographic entanglement entropy in spatially anisotropic field theory. We observe that for the background we consider in this paper, to a good approximation, the holographic entanglement entropy can be decomposed into two terms.…

High Energy Physics - Theory · Physics 2018-07-11 M. Rahimi , M. Ali-Akbari

We derive exact expressions for the local entanglement entropy E in the ground state of the one-dimensional Hubbard model at a quantum phase transition driven by a change in magnetic field h or chemical potential u. The leading divergences…

Strongly Correlated Electrons · Physics 2009-11-11 Daniel Larsson , Henrik Johannesson

Using a holographic proposal for the geometric entropy we study its behavior in the geometry of Schwarzschild black holes in global $AdS_p$ for $p=3,4,5$. Holographically, the entropy is determined by a minimal surface. On the gravity side,…

High Energy Physics - Theory · Physics 2015-05-13 Ibrahima Bah , Leopoldo A. Pando Zayas , Cesar A. Terrero-Escalante

We consider a chain of free electrons with periodically switched dimerization and study the entanglement entropy of a segment with the remainder of the system. We show that it evolves in a stepwise manner towards a value proportional to the…

Statistical Mechanics · Physics 2009-11-13 Viktor Eisler , Ingo Peschel

This paper is devoted to the study of the evolution of holographic complexity after a local perturbation of the system at finite temperature. We calculate the complexity using both the complexity=action(CA) and the complexity=volume(CA)…

High Energy Physics - Theory · Physics 2019-12-11 Dmitry S. Ageev

We study the evolution of the holographic entanglement entropy (HEE) and the holographic complexity (HC) after a thermal quench in $1+1$ dimensional boundary CFTs dual to massive BTZ black holes. The study indicates how the graviton mass…

High Energy Physics - Theory · Physics 2019-09-06 Yu-Ting Zhou , Mahdis Ghodrati , Xiao-Mei Kuang , Jian-Pin Wu

We study the effect of a non-vanishing chemical potential on the thermalization time of a strongly coupled large $N_c$ gauge theory in $(2+1)$-dimensions, using a specific bottom-up gravity model in asymptotically AdS space. We first…

High Energy Physics - Theory · Physics 2018-09-25 Elena Caceres , Arnab Kundu , Juan F. Pedraza , Di-Lun Yang

While global quantum quench has been extensively used in the literature to understand the localization-delocalization transition for the one-dimensional quantum spin chain, the effect of geometric quench (which corresponds to a sudden…

Disordered Systems and Neural Networks · Physics 2022-06-13 Ravi Kumar , Ranjan Modak

We construct and analyze holographic superconductors with generalized higher derivative couplings, in single R-charged black hole backgrounds in four and five dimensions. These systems, which we call very general holographic…

High Energy Physics - Theory · Physics 2015-06-22 Anshuman Dey , Subhash Mahapatra , Tapobrata Sarkar

We study the evolution of holographic complexity of pure and mixed states in $1+1$-dimensional conformal field theory following a local quench using both the "complexity equals volume" (CV) and the "complexity equals action" (CA)…

High Energy Physics - Theory · Physics 2018-08-24 Dmitry S. Ageev , Irina Ya. Aref'eva , Andrey A. Bagrov , Mikhail I. Katsnelson

The back reaction imparted by a uniform distribution of heavy static fundamental quarks on large $N_c$ strongly coupled gauge theory can be holographically realized as a deformation in $AdS$ blackhole background. The presence of back…

High Energy Physics - Theory · Physics 2020-06-24 Shankhadeep Chakrabortty , Sanjay Pant , Karunava Sil

We consider the evolution of an initially localized wave packet after a sudden change in the Hamiltonian, i.e.\ a quench. When both bound and scattering eigenstates exist in the post-quench Hamiltonian, one might expect partial…

Quantum Gases · Physics 2014-11-26 Elmer V. H. Doggen , Jami J. Kinnunen
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