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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

We consider the logarithmic negativity, a measure of bipartite entanglement, in a general unitary 1+1-dimensional massive quantum field theory, not necessarily integrable. We compute the negativity between a finite region of length $r$ and…

High Energy Physics - Theory · Physics 2016-12-20 Olivier Blondeau-Fournier , Olalla A. Castro-Alvaredo , Benjamin Doyon

We explore properties of the universal terms in the entanglement entropy and logarithmic negativity in 4d CFTs, aiming to clarify the ways in which they behave like the analogous entanglement measures in quantum mechanics. We show that,…

High Energy Physics - Theory · Physics 2015-10-28 Eric Perlmutter , Mukund Rangamani , Massimiliano Rota

We study the dynamics of (R\'enyi) mutual information, logarithmic negativity, and (R\'enyi) reflected entropy after exciting the ground state by a local operator. Together with recent results from Ref. [1], we are able to conjecture a…

High Energy Physics - Theory · Physics 2021-03-31 Jonah Kudler-Flam , Yuya Kusuki , Shinsei Ryu

We study global quenches in a number of interacting quantum field theory models away from the conformal regime. We conduct a perturbative renormalization at one-loop level and track the modifications of the quench protocol induced by the…

High Energy Physics - Theory · Physics 2019-01-30 Mikhail Goykhman , Tom Shachar , Michael Smolkin

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

The entanglement properties of the phase transition in a two dimensional harmonic lattice, similar to the one observed in recent ion trap experiments, are discussed both, for finite number of particles and thermodynamical limit. We show…

Quantum Physics · Physics 2015-05-13 Elisabeth Rieper , Janet Anders , Vlatko Vedral

We study the time evolution of the entanglement entropy in the short and long-range coupled harmonic oscillators that have well-defined continuum limit field theories. We first introduce a method to calculate the entanglement evolution in…

Statistical Mechanics · Physics 2015-03-30 M. Ghasemi Nezhadhaghighi , M. A. Rajabpour

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

Two significant consequences of quantum fluctuations are entanglement and criticality. Entangled states may not be critical but a critical state shows signatures of universality in entanglement. A surprising result found here is that the…

Statistical Mechanics · Physics 2015-05-30 Poulomi Sadhukhan , Somendra M. Bhattacharjee

The short-time evolution of two distinct systems, the pump and probe experiments with semiconductor and the sudden quench of cold atoms in an optical lattice, is found to be described by the same universal response function. This analytic…

Strongly Correlated Electrons · Physics 2015-12-07 K. Morawetz

The non-equilibrium evolution of the block entanglement entropy is investigated in the XY chain in a transverse magnetic field after the Hamiltonian parameters are suddenly changed from and to arbitrary values. Using Toeplitz matrix…

Statistical Mechanics · Physics 2009-11-13 Maurizio Fagotti , Pasquale Calabrese

Entanglement exhibits universal behavior near the ground-state critical point where correlations are long-ranged and the thermodynamic entropy is vanishing. On the other hand, a quantum quench imparts extensive energy and results in a…

Quantum Gases · Physics 2022-02-11 Sanku Paul , Paraj Titum , Mohammad F. Maghrebi

We investigate the time evolution towards the asymptotic steady state of a one dimensional interacting system after a quantum quench. We show that at finite time the latter induces entanglement between right- and left- moving density…

Strongly Correlated Electrons · Physics 2017-08-18 Alessio Calzona , Filippo Maria Gambetta , Fabio Cavaliere , Matteo Carrega , Maura Sassetti

We consider the time evolution of the gaps of the entanglement spectrum for a block of consecutive sites in finite transverse field Ising chains after sudden quenches of the magnetic field. We provide numerical evidence that, whenever we…

Statistical Mechanics · Physics 2020-07-01 Jacopo Surace , Luca Tagliacozzo , Erik Tonni

We analyze fermions after an interaction quantum quench in one spatial dimension and study the growth of the steady state entanglement entropy density under either a spatial mode or particle bipartition. For integrable lattice models, we…

Statistical Mechanics · Physics 2021-11-15 Adrian Del Maestro , Hatem Barghathi , Bernd Rosenow

We numerically investigate the growth of the entanglement entropy S_{ent}(t) in time t---after a global quench from a product state---in quantum chains with various kinds of disorder. The main focus is, in particular, on fermionic chains…

Strongly Correlated Electrons · Physics 2016-05-30 Y. Zhao , F. Andraschko , J. Sirker

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 consider global quantum quenches, a protocol when a continuous field theoretic system in the ground state is driven by a homogeneous time-dependent external interaction. When the typical inverse time scale of the interaction is much…

High Energy Physics - Theory · Physics 2020-04-13 Anatoly Dymarsky , Michael Smolkin

It is well known that quantum effects can produce negative energy densities, though for limited times. Here we show in the context of two-dimensional CFT that such negative energy densities are present in any non-trivial conformal vacuum…

General Relativity and Quantum Cosmology · Physics 2014-09-05 Eugenio Bianchi , Matteo Smerlak