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Quantum resonance in the paradigmatic kicked rotor system is a purely quantum effect that ignores the state of underlying classical chaos. In this work, it is shown that quantum resonance leads to superlinear entanglement production. In…

Quantum Physics · Physics 2024-10-07 Sanku Paul , J. Bharathi Kannan , M. S. Santhanam

Recent numerical work by Bardarson et. al. [Phys. Rev. Lett. 109, 017202 (2012)] revealed a slow, logarithmic in time, growth of entanglement entropy for initial product states in a putative many-body localized phase. We show that this…

Strongly Correlated Electrons · Physics 2013-07-03 Maksym Serbyn , Z. Papić , Dmitry A. Abanin

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

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 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

We study the influence of conservation laws on entanglement growth. Focusing on systems with U(1) symmetry, i.e., conservation of charge or magnetization, that exhibits diffusive dynamics, we theoretically predict the growth of…

Strongly Correlated Electrons · Physics 2020-06-25 Marko Znidaric

The dynamics of entanglement has recently been realized as a useful probe in studying ergodicity and its breakdown in quantum many-body systems. In this paper, we study theoretically the growth of entanglement in quantum many-body systems…

Statistical Mechanics · Physics 2017-03-02 Wen Wei Ho , Dmitry A. Abanin

We study the growth of entanglement in quantum systems with a conserved quantity exhibiting diffusive transport, focusing on how initial inhomogeneities are imprinted on the entropy. We propose a simple effective model, which generalizes…

Strongly Correlated Electrons · Physics 2019-09-25 Tibor Rakovszky , C. W. von Keyserlingk , Frank Pollmann

Studying entanglement growth in quantum dynamics provides both insight into the underlying microscopic processes and information about the complexity of the quantum states, which is related to the efficiency of simulations on classical…

Quantum Gases · Physics 2013-09-23 J. Schachenmayer , B. P. Lanyon , C. F. Roos , A. J. Daley

We study solvable spin chains where either fields or couplings vary linearly in space and create a sandwich-like structure of the ground state. We find that the entanglement entropy between two halves of a chain varies logarithmically with…

Statistical Mechanics · Physics 2009-11-13 V. Eisler , F. Igloi , I. Peschel

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 study the non-equilibrium dynamics of a disordered quantum system consisting of harmonic oscillators in a $d$-dimensional lattice. If the system is sufficiently localized, we show that, starting from a broad class of initial product…

Mathematical Physics · Physics 2022-11-15 Houssam Abdul-Rahman

We investigate how the dynamical production of quantum entanglement for weakly coupled, composite quantum systems is influenced by the chaotic dynamics of the corresponding classical system, using coupled kicked tops. The linear entropy for…

Quantum Physics · Physics 2009-11-07 Hiroshi Fujisaki , Takayuki Miyadera , Atushi Tanaka

We consider oscillators evolving subject to a periodic driving force that dynamically entangles them, and argue that this gives the linearized evolution around periodic orbits in a general chaotic Hamiltonian dynamical system. We show that…

High Energy Physics - Theory · Physics 2016-02-08 Curtis T. Asplund , David Berenstein

We investigate how the dynamical production of quantum entanglement for weakly coupled mapping systems is influenced by the chaotic dynamics of the corresponding classical system. We derive a general perturbative formula for the…

Quantum Physics · Physics 2015-06-26 Hiroshi Fujisaki , Atushi Tanaka , Takayuki Miyadera

We examine the dynamics of entanglement entropy of all parts in an open system consisting of a two-level dimer interacting with an environment of oscillators. The dimer-environment interaction is almost energy conserving. We find the…

Quantum Physics · Physics 2018-05-09 M. Merkli , G. P. Berman , R. T. Sayre , X. Wang , A. I. Nesterov

The exact dynamics of the entanglement between two harmonic modes generated by an angular momentum coupling is examined. Such system arises when considering a particle in a rotating anisotropic harmonic trap or a charged particle in a fixed…

Quantum Physics · Physics 2014-04-18 L. Rebón , N. Canosa , R. Rossignoli

We compute the entanglement dynamics across a monitored quantum point contact, where particle losses are recorded on a given site, and demonstrate how this single-site local monitoring substantially reshapes the entanglement production.…

Mesoscale and Nanoscale Physics · Physics 2026-05-22 Anna Delmonte , Marco Schirò

The relation between the degree of entanglement and time scale of time-irreversible behavior is investigated for classically chaotic quantum coupled kicked rotors by comparing the entanglement entropy (EE) and the lifetime of correspondence…

Statistical Mechanics · Physics 2016-08-24 Fumihiro Matsui , Hiroaki S. Yamada , Kensuke S. Ikeda

We study the long-time evolution of the bipartite entanglement in translationally invariant gapped harmonic lattice systems with finite-range interactions. A lower bound for the von Neumann entropy is derived in terms of the purity of the…

Quantum Physics · Physics 2011-07-12 R. G. Unanyan , M. Fleischhauer
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