Non-Markovianity through multipartite correlation measures

Abstract

We provide a characterization of memory effects in non-Markovian system-bath interactions from a quantum information perspective. More specifically, we establish sufficient conditions for which generalized measures of multipartite quantum, classical, and total correlations can be used to quantify the degree of non-Markovianity of a local quantum decohering process. We illustrate our results by considering the dynamical behavior of the trace-distance correlations in multi-qubit systems under local dephasing and generalized amplitude damping.

Non-Markovian dynamics and quantum interference in open three-level quantum systems

“…Quantum non-Markovian dynamics can lead to some interesting phenomena such as quantum correlation and coherence trapping [9][10][11], correlation quantum beat [12], and has extensively possible applications in quantum metrology [13], quantum communication [14][15][16][17], quantum control [18]. Because of these distinctive properties and extensive applications, more and more attention and interest have been devoted to the study of non-Markovian process of open systems, * Electronic address: hszeng@hunnu.edu.cn including the measure of non-Markovianity [19][20][21][22][23][24][25][26][27][28][29][30][31][32], the positivity [33][34][35], and some other dynamical properties [36][37][38][39][40][41][42][43][44] and approaches [45][46][47] of non-Markovian processes. Experimentally, the simulation [48][49][50][51][52][53] of non-M...…”

Dynamical control of population and entanglement for open Λ-type atoms by engineering the environment

“…Many relevant physical systems, such as the quantum optical system, [3] the nanoscale solid-state quantum system, [4,5] quantum chemistry, [6] and the excitation transfer in the biological system, [7] should be treated by quantum non-Markovian processes. Recently, quantum non-Markovian processes have been studied extensively, from the measure of non-Markovianity of the processes [8][9][10][11][12][13][14][15][16][17][18] to the properties [19][20][21][22][23][24][25][26][27][28][29] and applications [30][31][32][33][34][35][36][37] of the dynamical processes.…”

Macro-to-micro quantum mapping and the emergence of nonlinearity

“…In this open quantum system paradigm [3][4][5], as we don't have access to the environmental degrees of freedom, and we often assume thermal equilibrium and weak interaction, the full microscopic state presents no correlations between system and environment. However, there are situations where the split between accessible and not accessible degrees of freedom is not so obvious and correlations build up, leading for example to non-Markovian evolutions [6][7][8][9][10][11].…”