Steady-state nested entanglement structures in harmonic chains with single-site squeezing manipulation

TL;DR

This paper demonstrates how a squeezed bath acting on a harmonic chain can generate a steady state with nested entangled pairs across the entire system, using quantum reservoir engineering techniques.

Contribution

It introduces a method to create nested entanglement structures in harmonic chains via a squeezed bath, applicable with current quantum technologies.

Findings

Nested entanglement can be achieved in harmonic chains.

The effect is realizable with optomechanical and superconducting devices.

No actual squeezed fields are necessary, only reservoir engineering.

Abstract

We show that a squeezed bath, that acts on the central element of a harmonic chain, can drive the whole system to a steady state featuring a series of nested entangled pairs of oscillators that, ideally, covers the whole chain regardless of its size. We study how to realize this effect in various physical implementations, including optomechanical and superconducting devices, using currently available technologies. In these cases no squeezed fields are actually needed, and the squeezed bath is, instead, simulated by quantum reservoir engineering with bichromatic drives.