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Evolution of quantum coherence induced by band gaps and initial-state preparation measurements

Filippo Giraldi

School of Chemistry and Physics, University of KwaZulu-Natal and National Institute for Theoretical Physics (NITheP), Westville Campus, Durban 4000, South Africa

E-mail Address: giraldi@ukzn.ac.za

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https://doi.org/10.1142/S0219749919410181Cited by:1 (Source: Crossref)

This article is part of the issue:

Special Issue: Quantum 2019, From Foundations of Quantum Mechanics to Quantum Information and Quantum Metrology & Sensing — Part II
Guest Editors: A. Debortoli, M. D’Angelo, A. Garuccio, M. Genovese, P. Olivero and E. Predazzi

Abstract

The evolution of quantum coherence in a qubit is analyzed, over short and long times, in case the qubit interacts with a bosonic environment. The distribution of the frequency modes exhibits a low-frequency band gap. The initial conditions under study of the qubit and the bosonic environment are factorized or prepared with selective or nonselective measurements. The modulus of the coherence term of the reduced density matrix of the qubit evolves algebraically over short times and, due to the band gap, tends to the nonvanishing asymptotic value with damped oscillations. Depending on the measurement scheme, the nonselective preparation measurement can enhance quantum coherence or accelerate the decoherence process, over short times, according to dominant linear laws. Over long times, the nonselective preparation measurement produces the slowest-decaying envelope of the damped oscillations among the decoherence processes under study. Similar short- and long-time evolution is exhibited by the trace distance measure of two general states of the qubit.

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