Evolution of coherence and non-classicality under global environmental interaction

Abstract

A master equation has been constructed for a global system-bath interaction both in the absence as well as presence of non-Markovian noise. For the memoryless case, it has been exactly solved for a paradigmatic class of two qubit states in high and zero temperature thermal environment. For the non-Markovian model, it has been solved for zero temperature bath. The evolution of quantum coherence and entanglement has been observed in presence of the above mentioned interactions. We show that the global part of the system-bath interaction compensates for the decoherence, resulting in slow down of coherence and entanglement decay. For an appropriately defined limiting case, both coherence and entanglement show freezing behaviour for the high temperature bath. In case of zero temperature bath, the mentioned interaction not only stabilizes the non-classical correlations, but also enhances them for a finite period. For the memory dependent case, we have seen that the global interaction enhances the back-flow of information from environment to the system, as it enhances the regeneration of coherence and entanglement. Also we have studied the generation of Quantum Fisher information by the mentioned process. An intuitive measure of non-classicality based on non-commutativity of quantum states has been considered. Bounds on generated quantum Fisher information has been found in terms of quantumness and coherence. This gives us a novel understanding of Quantum Fisher information as a measure of non-classicality.

Detecting non-Markovianity via quantified coherence: theory and experiments

“…Before describing our main results, we first introduce previous results (for non-Markovianity based on coherence measure that were proposed and tested very recently [44][45][46][47][48][49][50][51][52][53][54] ). The previous results can be summarized as two main approaches, and both are applicable to detecting and quantifying the non-Markovianity of incoherent open system dynamics (IOSD).…”

“…Rigorous studies on the dynamical behavior of quantified coherence in non-Markovian dynamics have recently attracted considerable attention [44][45][46][47][48][49][50][51][52][53][54] . Moreover, information quantifiers based on coherence and the extended coherence with an ancilla have been proposed, for measuring the degree of non-Markovianity.…”

Quantum synchronization of few-body systems under collective dissipation

“…Note that the positivity of the dynamics dictates that a(k 0 r ij ) ≤ 1. Explicit forms of the parameters f ij and a ij , which respectively control the strength of the exchange interaction between the two atoms and the degree of collectivity of the dynamics are given as [36][37][38][39]…”

Distribution and Evolution of Quantum Coherence for Open Multi‐Qubit Systems in Non‐Inertial Frames

“…Many works about the evolution of coherence for open quantum systems have been done. [ 27–35 ] Among them, the protection of quantum coherence from environmental noises has special importance [ 27–32 ] because of the potential applications. In the regime of Markovian dynamics, quantum coherence may be frozen for some special initial states of the open system undergoing some special noises.…”