Effect of initial system-environment correlations with spin environments

Abstract

Understanding the dynamics of open quantum systems is a highly important task for the implementation of emerging quantum technologies. To make the problem tractable theoretically, it is common to neglect initial system-environment correlations. However, this assumption is questionable in situations where the system is interacting strongly with the environment. In particular, the system state preparation can then influence the dynamics of the system via the system-environment correlations. To gain insight into the effect of these correlations, we solve an exactly solvable model of a quantum spin interacting with a spin environment both with and without initial correlations for arbitrary system-environment coupling strengths. We show that the effect of the system state preparation may or may not be significant in the strong system-environment coupling regime at low temperatures. We also study the dynamics of the entanglement between two spins interacting with a common spin environment with and without initial system-environment correlations to demonstrate that the correlations can play a significant role in the dynamics of two-qubit systems as well.

arXiv comment11 pages, comments most welcome

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Cited by in corpus (8)

• Improving the estimation of environment parameters via initial probe-environment correlations
• Continuous dynamical decoupling of spin chains: modulating the spin-environment and spin-spin interactions
• Geometric phase corrected by initial system-environment correlations
• On the use of total state decompositions for the study of reduced dynamics
• Adapted projection operator technique for the treatment of initial correlations
• Frequency super-resolution with quantum environment engineering in a weakly coupled nuclear-spin system
• A master equation incorporating the system-environment correlations present in the joint equilibrium state
• Time evolution of quantum correlations in presence of state dependent bath