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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…

量子物理 · 物理学 2018-03-30 DaeKil Park

We study the dynamics and redistribution of entanglement and coherence in three time-dependent coupled harmonic oscillators. We resolve the Schr\"{o}dinger equation by using time-dependent Euler rotation together with a linear quench model…

量子物理 · 物理学 2021-06-30 Radouan Hab-arrih , Ahmed Jellal , Abdeldjalil Merdaci

The dynamics of mixedness and entanglement is examined by solving the time-dependent Schr\"{o}dinger equation for three coupled harmonic oscillator system with arbitrary time-dependent frequency and coupling constants parameters. We assume…

量子物理 · 物理学 2019-08-01 DaeKil Park

In this work, we explore the dynamics of entanglement of an isolated quantum system consisting of two time-dependent, coupled harmonic oscillators. Through the use of a numerical method that relies on the estimation of the system's Wigner…

量子物理 · 物理学 2021-04-27 Cemal Dinc , Onur Oktay

We study the dynamics of a two-qubit system coupled through time dependent anisotropic $XYZ$ Heisenberg interaction in presence of a time varying non-uniform external magnetic field. Exact results are presented for the time evolution of the…

量子物理 · 物理学 2013-12-25 E. I. Lashin , Gehad Sadiek , M. Sebaweh Abdullah , Elham Aldufeery

We study the dynamics of entanglement for a one-dimensional spin chain with a nearest neighbor time dependent Heisenberg coupling J(t) between the spins in presence of a time dependent external magnetic field h(t) at zero and finite…

量子物理 · 物理学 2012-01-04 Bedoor Alkurtass , Gehad Sadiek , Sabre Kais

This paper surveys the quantum entanglement of two coupled harmonic oscillators via angular momentum generating a magnetic coupling $\omega_{c}$. The corresponding Hamiltonian is diagonalized by using three canonical transformations and…

量子物理 · 物理学 2021-08-10 Radouan Hab-arrih , Ahmed Jellal , Abdeldjalil Merdaci

We demonstrate the existence of entanglement between the spatial degrees of freedom of a system of harmonic oscillators placed in the noncommutative Moyal plane ("exotic oscillators") by computing the entanglement entropy as measured by the…

高能物理 - 理论 · 物理学 2021-06-02 S. K. Pal , P. Nandi , S. Ghosh , F. G. Scholtz , B. Chakraborty

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…

统计力学 · 物理学 2015-03-30 M. Ghasemi Nezhadhaghighi , M. A. Rajabpour

We study the relationship between entanglement and parametric resonance in a system of two coupled time-dependent oscillators. As a measure of bipartite entanglement, we calculate the linear entropy for the reduced density operator, from…

量子物理 · 物理学 2011-08-19 V. M. Bastidas , J. H. Reina , C. Emary , T. Brandes

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…

量子物理 · 物理学 2011-07-12 R. G. Unanyan , M. Fleischhauer

A closed system of the equations for the local Bloch vectors and spin correlation functions is obtained by decomplexification of the Liouville-von Neumann equation for three magnetic qubits with the exchange interaction, that takes place in…

量子物理 · 物理学 2007-05-23 E. A. Ivanchenko

In this paper we have obtained the exact eigenstates of a two dimensional damped harmonic oscillator in the presence of an external magnetic field varying with respect to time in time dependent noncommutative space. It has been observed…

量子物理 · 物理学 2021-11-18 Manjari Dutta , Shreemoyee Ganguly , Sunandan Gangopadhyay

Ermakov has shown how the solution to the classical harmonic oscillator in one spatial dimension with general time-dependent frequency can be reduced to the time-independent case and an associated nonlinear ordinary differential equation,…

介观与纳米尺度物理 · 物理学 2026-02-26 T. R. Govindarajan , V. P. Nair

In this paper, we are interested in studying entropy and dynamics entanglement between a single time dependent three-level atom interacting with one-mode cavity field when the atomic motion is taken into account. An exact analytical…

量子物理 · 物理学 2022-09-29 Ahmed Salah , M. A. El-Sayed , N. H. Abdel Wahab

In this paper, using the Lewis-Riesenfeld method, we determine the explicit form of the wavefunctions of one- and three-dimensional harmonic oscillators with time-dependent mass and frequency within the framework of the Dunkl derivative,…

量子物理 · 物理学 2024-10-01 A. Benchikha , B. Khantoul , B. Hamil , B. C. Lütfüoğlu

In this paper, we investigate the quantum entanglement induced by phase-space noncommutativity. Both the position-position and momentum-momentum noncommutativity are incorporated to study the entanglement properties of coordinate and…

量子物理 · 物理学 2024-01-09 Shilpa Nandi , Muklesur Rahaman , Pinaki Patra

We determine the exact time-dependent non-idempotent one-particle reduced density matrix and its spectral decomposition for a harmonically confined two-particle correlated one-dimensional system when the interaction terms in the…

统计力学 · 物理学 2017-02-01 I. Nagy , J. Pipek , M. L. Glasser

We study the dynamics of entanglement for the XY-model, one-dimensional spin systems coupled through nearest neighbor exchange interaction and subject to an external time-dependent magnetic field. Using the two-site density matrix, we…

量子物理 · 物理学 2007-05-23 Zhen Huang , Sabre Kais

We develop an approach to study the entanglement in two coupled harmonic oscillators. We start by introducing an unitary transformation to end up with the solutions of the energy spectrum. These are used to construct the corresponding…

量子物理 · 物理学 2015-05-28 Ahmed Jellal , Fethi Madouri , Abdeldjalil Merdaci
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