Non-Markovianity-Assisted Steady State Entanglement

Abstract

We analyze the steady state entanglement generated in a coherently coupled dimer system subject to dephasing noise as a function of the degree of Markovianity of the evolution. By keeping fixed the effective noise strength while varying the memory time of the environment, we demonstrate that non-Markovianity is an essential, quantifiable resource that may support the formation of steady state entanglement whereas purely Markovian dynamics governed by Lindblad master equations lead to separable steady states. This result illustrates possible mechanisms leading to long-lived entanglement in purely decohering, possibly local, environments. We present a feasible experimental demonstration of this noise assisted phenomenon using a system of trapped ions.

Quantum interference between independent reservoirs in open quantum systems

“…In practice, a system often couples to multiple reservoirs as is the case of cavity quantum electrodynamics (CQED) [14][15][16], Jaynes-Cummings lattices [17], photon-ion interfaces [18], ion chain systems [19], phonon-induced spin squeezing [20], the dynamical Casimir effect [21], and so on. While it is commonly believed that different baths are additive in the ME in the Markovian limit, this assumption is not always valid for the more general non-Markovian physical situations [22][23][24][25][26][27][28][29][30][31][32][33]. There are various definitions and measures of non-Markovianity.…”

Non-Markovianity-assisted high-fidelity Deutsch–Jozsa algorithm in diamond

“…28 However, because of strong system-environment couplings, structured or finite reservoirs, low temperatures, or large initial system-environment correlations, the dynamics of an open quantum system may deviate substantially from the Born-Markov approximation and follow a non-Markovian process. [28][29][30][31][32] In such a process, the pronounced memory effect, which is the primary feature of a non-Markovian environment, can be used to revive the genuine quantum properties, [28][29][30][31][32][33][34] such as quantum coherence and correlations. Consequently, improving the performance of QIP by utilizing memory effects as important physical resources in the nonMarkovian environment is crucial.…”

Optimal state pairs for non-Markovian quantum dynamics

“…During recent years, there has been significant conceptual, theoretical, and experimental progress dealing with non-Markovian processes [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. In particular, the very definition of non-Markovianity and quantification of quantum memory effects in the dynamics of open systems has received a lot of interest.…”