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We study the exact evolution of two non-interacting qubits, initially in a Bell state, in the presence of an environment, modeled by a kicked Ising spin chain. Dynamics of this model range from integrable to chaotic and we can handle…

Quantum Physics · Physics 2007-11-30 Carlos Pineda , Thomas H. Seligman

In the framework of the theory of open systems based on completely positive quantum dynamical semigroups, we give a description of the continuous-variable entanglement for a system consisting of two independent harmonic oscillators…

Quantum Physics · Physics 2015-05-13 Aurelian Isar

Understanding the nature of entanglement growth in many-body systems is one of the fundamental questions in quantum physics. Here, we study this problem by characterizing the entanglement fluctuations and distribution of $(d+1)$ qubit…

Statistical Mechanics · Physics 2023-12-22 Piotr Sierant , Marco Schirò , Maciej Lewenstein , Xhek Turkeshi

We study the non-equilibrium dynamics of kicked Ising models in $1+1$ dimensions which have interactions alternating between odd and even bonds in time. These models can be understood as quantum circuits tiling space-time with the…

Quantum Physics · Physics 2025-03-18 Chuan Liu , Wen Wei Ho

The extended Hubbard Hamiltonian is a widely accepted model for uncovering the effects of strong correlations on the phase diagram of low-dimensional systems, and a variety of theoretical techniques have been applied to it. In this paper…

Strongly Correlated Electrons · Physics 2007-09-07 H. A. Craig , C. N. Varney , W. E. Pickett , R. T. Scalettar

We study the entanglement evolution between two harmonic oscillators having different free frequencies each leaking into an independent bath. We use an exact solution valid in the weak coupling limit and in the short time non-Markovian…

Quantum Physics · Physics 2015-05-18 R. Vasile

The quantum dynamics of two weakly coupled nonlinear oscillators is analytically and numerically investigated in the context of nonlinear dissipation. The latter facilitates the creation and preservation of non-classical steady states.…

Quantum Physics · Physics 2013-08-09 Aurora Voje , Andreas Isacsson , Alexander Croy

The ground state entanglement of the system, both in discrete-time and continuous-time cases, is quantified through the linear entropy. The result shows that the entanglement increases as the interaction between the particles increases in…

We investigate the decoherence dynamics of continuous variable entanglement as the system-environment coupling strength varies from the weak-coupling to the strong-coupling regimes. Due to the existence of localized modes in the…

Quantum Physics · Physics 2016-10-14 Yu-Chen Lin , Pei-Yun Yang , Wei-Min Zhang

We discuss the relation between entanglement and criticality in translationally invariant harmonic lattice systems with non-randon, finite-range interactions. We show that the criticality of the system as well as validity or break-down of…

Quantum Physics · Physics 2009-11-11 R. G. Unanyan , M. Fleischhauer

We study the temporal evolution of the entanglement hamiltonian of an interval after a global quantum quenchin free lattice models in one spatial dimension. In a harmonic chain we explore a quench of the frequency parameter. In a chain of…

Statistical Mechanics · Physics 2020-01-01 Giuseppe Di Giulio , Raul Arias , Erik Tonni

We analyze the physical mechanisms leading either to synchronization or to the formation of spatio-temporal patterns in a lattice model of pulse-coupled oscillators. In order to make the system tractable from a mathematical point of view we…

Statistical Mechanics · Physics 2009-10-30 Albert Diaz-Guilera , Conrad J. Perez , Alex Arenas

Quantum entanglement, induced by spatial noncommutativity, is investigated for an anisotropic harmonic oscillator. Exact solutions for the system are obtained after the model is re-expressed in terms of canonical variables, by performing a…

Quantum Physics · Physics 2020-11-26 Abhishek Muhuri , Debdeep Sinha , Subir Ghosh

The dynamics of the pairwise entanglement in a qubit lattice in the presence of static imperfections exhibits different regimes. We show that there is a transition from a perturbative region, where the entanglement is stable against…

Quantum Physics · Physics 2007-05-23 Simone Montangero , Giuliano Benenti , Rosario Fazio

The evolution of the entanglement between oscillators that interact with the same environment displays highly non-trivial behavior in the long time regime. When the oscillators only interact through the environment, three dynamical phases…

Quantum Physics · Physics 2010-06-28 Juan Pablo Paz , Augusto J. Roncaglia

This paper investigates disentanglement as a result of evolution according to a class of master equations which include dissipation and interparticle interactions. Generalizing an earlier result of Di\'{o}si, the time taken for complete…

Quantum Physics · Physics 2009-11-10 P. J. Dodd

We analyze rigorously the dynamics of the entanglement between two qubits which interact only through collective and local environments. Our approach is based on the resonance perturbation theory which assumes a small interaction between…

Quantum Physics · Physics 2010-01-08 M. Merkli , G. P. Berman , F. Borgonovi , K. Gebresellasie

We study the scaling properties of the ground-state entanglement between finite subsystems of infinite two-dimensional free lattice models, as measured by the logarithmic negativity. For adjacent regions with a common boundary, we observe…

Statistical Mechanics · Physics 2016-04-01 Viktor Eisler , Zoltán Zimborás

We demonstrate that the entropy of entanglement and the distillable entanglement of regions with respect to the rest of a general harmonic lattice system in the ground or a thermal state scale at most as the boundary area of the region.…

Quantum Physics · Physics 2009-11-11 M. Cramer , J. Eisert , M. B. Plenio , J. Dreissig

The pairwise quantum entanglement of sites in disordered electronic one-dimensional systems (rings) is studied. We focus on the effect of diagonal and off diagonal disorder on the concurrence $C_{ij}$ between electrons on neighbor and non…

Disordered Systems and Neural Networks · Physics 2009-11-11 R. Lopez-Sandoval , Martin E. Garcia