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By applying complementary analytic and numerical methods, we investigate the dynamics of spin-$1/2$ XXZ models with variable-range interactions in arbitrary dimensions. The dynamics we consider is initiated from uncorrelated states that are…

The ground-state entanglement of a single particle of the N-harmonium system (i.e., a completely-integrable model of $N$ particles where both the confinement and the two-particle interaction are harmonic) is shown to be analytically…

Quantum Physics · Physics 2014-09-30 C. L. Benavides-Riveros , I. V. Toranzo , J. S. Dehesa

We calculate the evolution of the geometric entanglement entropy following a local quench in the D1D5 conformal field theory, a two-dimensional theory that describes a particular bound state of D1 and D5 branes. The quench corresponds to a…

High Energy Physics - Theory · Physics 2015-03-19 Curtis T. Asplund , Steven G. Avery

We present a theoretical study of the relationship between entanglement and entropy in multi-qubit quantum optical systems. Specifically we investigate quantitative relations between the concurrence and linear entropy for a two-qubit mixed…

Quantum Physics · Physics 2009-11-10 Alexandra Olaya-Castro , Neil F. Johnson , Luis Quiroga

Generic quantum many-body systems typically show a linear growth of the entanglement entropy after a quench from a product state. While entanglement is a property of the wave function, it is generated by the unitary time evolution operator…

Disordered Systems and Neural Networks · Physics 2019-11-21 Talía L. M. Lezama , David J. Luitz

We study the temporal evolution of the circuit complexity for a subsystem in harmonic lattices after a global quantum quench of the mass parameter, choosing the initial reduced density matrix as the reference state. Upper and lower bounds…

High Energy Physics - Theory · Physics 2021-05-13 Giuseppe Di Giulio , Erik Tonni

Within gauge/gravity duality, we consider the local quench-like time evolution obtained by joining two 1+1-dimensional heat baths at different temperatures at time t=0. A steady state forms and expands in space. For the 2+1-dimensional…

High Energy Physics - Theory · Physics 2017-10-25 Johanna Erdmenger , Daniel Fernandez , Mario Flory , Eugenio Megias , Ann-Kathrin Straub , Piotr Witkowski

We simulate the entanglement dynamics in a critical random quantum Ising chain with generic perturbations using the time-evolving block decimation algorithm. Starting from a product state, we observe super-logarithmic growth of entanglement…

Statistical Mechanics · Physics 2017-04-25 Yichen Huang

The spreading of entanglement in out-of-equilibrium quantum systems is currently at the centre of intense interdisciplinary research efforts involving communities with interests ranging from holography to quantum information. Here we…

Statistical Mechanics · Physics 2019-05-21 Bruno Bertini , Pavel Kos , Tomaz Prosen

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

Two noninteracting atoms, initially entangled in Bell states, are coupled to a one-mode cavity. Based on the reduced non-perturbative quantum master equation, the entanglement evolution of the two atoms with decay is investigated beyond…

Quantum Physics · Physics 2009-11-13 Qing Yang , Ming Yang , Da-Chuang Li , Zhuo-Liang Cao

The evolution of entanglement in a non-Hermitian quantum system may behave differently compared to its Hermitian counterpart. In this paper, we investigate the entanglement dynamics of two coupled and driven non-Hermitian qubits. Through…

Quantum Physics · Physics 2023-08-31 Yi-Xi Zhang , Zhen-Tao Zhang , Xiao-Zhi Wei , Bao-Long Liang , Feng Mei , Zhen-Shan Yang

We consider the non-equilibrium dynamics of the entanglement entropy of a one-dimensional quantum gas of hard-core particles, initially confined in a box potential at zero temperature. At $t=0$ the right edge of the box is suddenly released…

Statistical Mechanics · Physics 2021-09-10 Stefano Scopa , Alexandre Krajenbrink , Pasquale Calabrese , Jérôme Dubail

It is well-known that entanglement entropy in field theory at its ground state is dominated by an area law term, presenting a similarity to the entropy of black holes. It is interesting to investigate whether this similarity can be extended…

High Energy Physics - Theory · Physics 2022-06-14 Dimitrios Katsinis , Georgios Pastras

Global quantum quench with a finite quench rate which crosses critical points is known to lead to universal scaling of correlation functions as functions of the quench rate. In this work, we explore scaling properties of the entanglement…

High Energy Physics - Theory · Physics 2017-08-23 Pawel Caputa , Sumit R. Das , Masahiro Nozaki , Akio Tomiya

We prove spatial decay estimates on disorder-averaged position-momentum correlations in a gapless class of random oscillator models. First, we prove a decay estimate on dynamic correlations for general eigenstates with a bound that depends…

Mathematical Physics · Physics 2018-02-23 Houssam Abdul-Rahman , Robert Sims , Günter Stolz

We extend the semiclassical picture for the spreading of entanglement and correlations to quantum quenches with several species of quasiparticles that have non-trivial pair correlations in momentum space. These pair correlations are, for…

Statistical Mechanics · Physics 2018-10-17 Alvise Bastianello , Pasquale Calabrese

We study the time evolution of quantum entanglement between an electron and its parent ion during the rescattering due to a strong few-cycle laser pulse. Based on a simple one-dimensional model, we compute the Neumann entropy during the…

Quantum Physics · Physics 2015-06-04 Attila Czirjak , Szilard Majorosi , Judit Kovacs , Mihaly G. Benedict

The concept of space-evolution (or space-time duality) has emerged as a promising approach for studying quantum dynamics. The basic idea involves exchanging the roles of space and time, evolving the system using a space transfer matrix…

Quantum Physics · Physics 2023-11-03 Alessandro Foligno , Tianci Zhou , Bruno Bertini

We provide an analytical investigation of the entanglement dynamics for a system composed of an arbitrary number of qubits dissipating into a common environment. Specifically we consider initial states whose evolution remains confined on…

Quantum Physics · Physics 2013-04-08 Laleh Memarzadeh , Stefano Mancini