Abstract

We consider two systems $A$ and $B$ that share Einstein–Podolsky–Rosen (EPR) steering correlations and study how these correlations will decay when each of the systems is independently coupled to a reservoir. EPR steering is a directional form of entanglement, and the measure of steering can change depending on whether system $A$ is steered by $B$, or vice versa. First, we examine the decay of the steering correlations of the two-mode squeezed state. We find that if system $B$ is coupled to a reservoir, then the decoherence of the steering of $A$ by $B$ is particularly marked, to the extent that there is a sudden death of steering after a finite time. We find a different directional effect if the reservoirs are thermally excited. Second, we study the decoherence of the steering of a Schrödinger cat state, modeled as the entangled state of a spin and harmonic oscillator, when the macroscopic system (the cat) is coupled to a reservoir.

© 2015 Optical Society of America

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