Abstract

Dynamics of measurement-induced-nonlocality (MIN) and geometric measure of discord (GD) in the spin-boson model is studied. Analytical results show that for two large classes of initial states, MINs are equal but GDs are different. At the end of evolution, MIN and GD initially stored in the spin system transfer completely to reservoirs. The quantum beats for MIN and GD are also found which are the results of quantum interference between two local non-Markovian dynamics via quantum correlation.

Highlights

  • Quantum correlation arises from noncommutativity of operators representing states, observables, and measurements [1]

  • The quantum beats for MIN and geometric measure of discord (GD) are found, which are the results of quantum interference between two local non-Markovian dynamics via quantum correlation

  • We investigate the dynamics of GD and MIN in a system that consists of two independent spins coupled respectively to their local environments

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Summary

Introduction

Quantum correlation arises from noncommutativity of operators representing states, observables, and measurements [1]. Evaluation of quantum discord in general requires considerable numerical minimization and analytical results that are known only for certain classes of states [9,10,11]. There are many works involved in the evolutions of quantum entanglement and discord in the non-markovian environments [23,24,25,26,27,28,29]. Trapping [30] and quantum beats [31] for quantum entanglement and discord for a pair of qubits in local structured environments were found.

GD and MIN
Model and Dynamics of MIN and GD
Double-Excitation Dynamics of MIN and GD
Single-Excitation Dynamics of MIN and GD
Conclusions
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