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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

We investigate the entanglement entropy in quantum states featuring repeated sequential excitations of unit patterns in momentum space. In the scaling limit, each unit pattern contributes independently and universally to the entanglement…

Quantum Physics · Physics 2025-09-17 Jiaju Zhang

The confinement of elementary excitations induces distinctive features in the non-equilibrium quench dynamics. One of the most remarkable is the suppression of entanglement entropy which in several instances turns out to oscillate rather…

Statistical Mechanics · Physics 2022-03-17 Stefano Scopa , Pasquale Calabrese , Alvise Bastianello

In closed quantum systems, a dynamical phase transition is identified by nonanalytic behaviors of the return probability as a function of time. In this work, we study the nonunitary dynamics following quenches across exceptional points in a…

Statistical Mechanics · Physics 2018-08-29 Longwen Zhou , Qing-hai Wang , Hailong Wang , Jiangbin Gong

We present a study of the evolution of entanglement entropy of matter and geometry in quantum cosmology. For a variety of Gaussian initial states and their linear combinations, and with evolution defined with respect to a relational time,…

General Relativity and Quantum Cosmology · Physics 2020-09-10 Viqar Husain , Suprit Singh

This article introduces and discusses the concept of entanglement detachment. Under some circumstances, enlarging a few couplings of a Hamiltonian can effectively detach a (possibly disjoint) block within the ground state. This detachment…

Strongly Correlated Electrons · Physics 2018-12-05 Hernán Santos , José Enrique Alvarellos , Javier Rodríguez-Laguna

We present a review of recent research on quantum entanglement, with special emphasis on entanglement between single atoms, processing of an encoded entanglement and its temporary evolution. Analysis based on the density matrix formalism…

Quantum Physics · Physics 2015-05-18 Zbigniew Ficek

We numerically study the dynamics of entanglement entropy, induced by an oscillating time periodic driving of the transverse field, h(t), of a one-dimensional quantum Ising chain. We consider several realizations of h(t), and we find a…

Statistical Mechanics · Physics 2016-10-14 Tony J. G. Apollaro , G. Massimo Palma , Jamir Marino

We study the emergence of entropy in gravitational production of dark matter particles, ultra light scalars minimally coupled to gravity and heavier fermions, from inflation to radiation domination (RD). Initial conditions correspond to…

General Relativity and Quantum Cosmology · Physics 2020-09-30 Mudit Rai , Daniel Boyanovsky

We explore the question of finiteness of the entanglement entropy in gravitational theories whose emergent space is the target space of a holographic dual. In the well studied duality of two-dimensional non-critical string theory and $c=1$…

High Energy Physics - Theory · Physics 2022-12-28 Sumit R. Das , Antal Jevicki , Junjie Zheng

In inflationary cosmology all particle states decay as a consequence of the lack of kinematic thresholds. The decay of an initial single particle state yields an \emph{entangled quantum state of the product particles}. We generalize and…

Cosmology and Nongalactic Astrophysics · Physics 2014-04-15 Louis Lello , Daniel Boyanovsky , Richard Holman

A model of discrete dynamics of entanglement of bipartite quantum state is considered. It involves a global unitary dynamics of the system and periodic actions of local bistochastic or decaying channel. For initially pure states the decay…

Quantum Physics · Physics 2009-11-06 Karol Zyczkowski , Pawel Horodecki , Michal Horodecki , Ryszard Horodecki

Light cone spreading of correlations and entanglement is a key feature of the non-equilibrium quench dynamics of many-body quantum systems. First proposed theoretically, it has been experimentally revealed in cold-atomic gases and it is…

Statistical Mechanics · Physics 2017-03-10 M. Kormos , M. Collura , G. Takács , P. Calabrese

As a most important feature of non-Hermitian systems, exceptional points (EPs) lead to a variety of unconventional phenomena and applications. Here, we study a generic model composed of two coupled non-Hermitian qubits, the EPs can be…

Quantum Physics · Physics 2025-02-12 Zigeng Li , Xinyao Huang , Hongyan Zhu , Guofeng Zhang , Fan Wang , Xiaolan Zhong

The large-scale properties of homogeneous states after quantum quenches in integrable systems have been successfully described by a semiclassical picture of moving quasiparticles. Here we consider the generalisation for the entanglement…

Statistical Mechanics · Physics 2018-09-18 Bruno Bertini , Maurizio Fagotti , Lorenzo Piroli , Pasquale Calabrese

We study the ground state properties of the one-dimensional extended Hubbard model at half-filling from the perspective of its particle reduced density matrix. We focus on the reduced density matrix of $2$ fermions and perform an analysis…

Strongly Correlated Electrons · Physics 2022-04-11 Diego L. B. Ferreira , Thiago O. Maciel , Reinaldo O. Vianna , Fernando Iemini

We prove the approach to equilibrium of quenched isolated quantum systems for which the change in the Hamiltonian brought about by the quench satisfies a certain closed commutator algebra with all the extensive integrals of motion of the…

Statistical Mechanics · Physics 2016-12-01 E. Solano-Carrillo

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

We establish a general scaling law for the entanglement of a large class of ground states and dynamically evolving states of quantum spin chains: we show that the geometric entropy of a distinguished block saturates, and hence follows an…

Quantum Physics · Physics 2009-11-13 Jens Eisert , Tobias J. Osborne

We investigate generalized thermalization in an isolated free Fermionic chain evolving from an out of equilibrium initial state through a sudden quench. We consider the quench where a Fermionic chain is broken into two disjoint chains. We…

Quantum Gases · Physics 2023-05-01 Sandra Byju , Kinjalk Lochan , S. Shankaranarayanan