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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

The dynamics of entanglement and uncertainty relation is explored by solving the time-dependent Schr\"{o}dinger equation for coupled harmonic oscillator system analytically when the angular frequencies and coupling constant are arbitrarily…

Quantum Physics · Physics 2018-03-30 DaeKil Park

We analyze the effect of a classical noise into the entanglement dynamics between two particles, initially entangled, subject to continuous time quantum walks in a one-dimensional lattice. The noise is modeled by randomizing the transition…

Quantum Physics · Physics 2012-10-12 Paolo Bordone , Fabrizio Buscemi , Claudia Benedetti

In three dimensions, the pure Maxwell theory with compact U(1) gauge group is dual to a free compact scalar, and flows from the Maxwell theory with non-compact gauge group in the ultraviolet to a non-compact free massless scalar theory in…

High Energy Physics - Theory · Physics 2014-02-05 Cesar A. Agon , Matthew Headrick , Daniel L. Jafferis , Skyler Kasko

The effects of an intracavity photonic crystal in a multimode optical parametric oscillator are studied, with a special focus on quantum fluctuations. The capability to either stimulate or inhibit the spatial instability, lowering or…

Quantum Physics · Physics 2010-11-04 Maria M. de Castro , Miguel Angel Garcia March , Damia Gomila , Roberta Zambrini

Studies of random unitary circuits have shown that the calculation of Renyi entropies of entanglement can be mapped to classical statistical mechanics problems in spacetime. In this paper, we develop an analogous spacetime picture of…

Statistical Mechanics · Physics 2026-03-13 Tobias Swann , Denis Bernard , Adam Nahum

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

By means of free fermionic techniques we study the time evolution of the entanglement entropy, S(t), of a block of spins in the random transverse-field Ising chain after a sudden change of the parameters of the Hamiltonian. We consider…

Statistical Mechanics · Physics 2012-03-13 Ferenc Igloi , Zsolt Szatmari , Yu-Cheng Lin

We study the growth of entanglement entropy in density matrix renormalization group calculations of the real-time quench dynamics of the Anderson impurity model. We find that with appropriate choice of basis, the entropy growth is…

Strongly Correlated Electrons · Physics 2017-08-16 Zhuoran He , Andrew J. Millis

We compute the entropy of entanglement in the ground states of a general class of quantum spin-chain Hamiltonians - those that are related to quadratic forms of Fermi operators - between the first N spins and the rest of the system in the…

Quantum Physics · Physics 2009-11-10 J. P. Keating , F. Mezzadri

We utilize the concept of a measurement-induced entanglement transition to analyze the interplay and competition of processes that generate and destroy entanglement in a one-dimensional quantum spin chain evolving under a locally noisy and…

Quantum Physics · Physics 2022-07-07 T. Boorman , M. Szyniszewski , H. Schomerus , A. Romito

Multidimensional cosmological models with a higher dimensional space-time manifold are investigated under dimensional reduction. In the Einstein conformal frame, the effective potential for the internal scale factors is obtained. The stable…

General Relativity and Quantum Cosmology · Physics 2007-05-23 U. Guenther , S. Kriskiv , A. Zhuk

We construct a contour function for the entanglement entropies in generic harmonic lattices. In one spatial dimension, numerical analysis are performed by considering harmonic chains with either periodic or Dirichlet boundary conditions. In…

Statistical Mechanics · Physics 2017-08-29 Andrea Coser , Cristiano De Nobili , Erik Tonni

We study the dynamical Casimir effect in the presence of a finite coherence time, which is associated with a finite quality factor of the optical cavity. We use the time refraction model, where a fixed cavity with a modulated optical…

Quantum Physics · Physics 2015-05-20 J. T. Mendonca , G. Brodin , M. Marklund

Nonlinear terms in the equations of motion can induce secularly growing loop corrections to correlation functions. Recently such corrections were shown to affect the particle production by a nonuniformly moving ideal mirror. We extend this…

High Energy Physics - Theory · Physics 2021-03-12 Lianna A. Akopyan , Dmitrii A. Trunin

We use a mix of field theoretic and holographic techniques to elucidate various properties of quantum entanglement entropy. In (3+1)-dimensional conformal field theory we study the divergent terms in the entropy when the entangling surface…

High Energy Physics - Theory · Physics 2012-07-13 Igor R. Klebanov , Tatsuma Nishioka , Silviu S. Pufu , Benjamin R. Safdi

We show that the linearized higher derivative gravitational field equations are equivalent to an equilibrium condition on the entanglement entropy of small spherical regions in vacuum. This extends Jacobson's recent derivation of the…

High Energy Physics - Theory · Physics 2017-02-15 Pablo Bueno , Vincent S. Min , Antony J. Speranza , Manus R. Visser

We investigate finite number effects in collisions between two states of an initially well known number of identical bosons with contact interactions, oscillating in the presence of harmonic confinement in one dimension. We investigate two…

Quantum Gases · Physics 2013-04-30 David I. H. Holdaway , Christoph Weiss , Simon A. Gardiner

Zero modes, understood here as degrees of freedom with vanishing confining frequency, play a central role in the nonequilibrium dynamics of bosonic systems. In Gaussian models, however, they lead to an unbounded, logarithmic growth of…

Quantum Physics · Physics 2026-03-18 Stefan Aimet , Philipp Schmoll , Jens Eisert , Jörg Schmiedmayer , Spyros Sotiriadis

Entanglement entropy is now widely accepted as having deep connections with quantum gravity. It is therefore desirable to understand it in the context of causal sets, especially since they provide in a natural manner the UV cutoff needed to…

High Energy Physics - Theory · Physics 2018-03-13 Rafael D. Sorkin , Yasaman K. Yazdi
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