Steady many-body entanglements in dissipative systems

TL;DR

This paper introduces a dissipative approach to generate steady entangled states in spin and fermionic chains, demonstrating high fidelity and robustness even with noise and parameter fluctuations.

Contribution

It presents a novel method using engineered Lindbladians to prepare many-body entangled states, applicable to spin chains like the XY model, with high experimental feasibility.

Findings

Achieves high fidelities and purities of target states

Robust against dephasing, thermal noise, and parameter fluctuations

Applicable to spin and fermionic chains, including the XY model

Abstract

We propose a dissipative method for the preparation of many-body steady entangled states in spin and fermionic chains. The scheme is accomplished by means of an engineered set of Lindbladians acting over the eigenmodes of the system, whose spectrum is assumed to be resolvable. We apply this idea to prepare a particular entangled state of a spin chain described by the XY model, emphasizing its generality and experimental feasibility. Our results show that our proposal is capable of achieving high fidelities and purities for a given target state even when dephasing and thermal dissipative processes are taken into account. Moreover, the method exhibits a remarkable robustness against fluctuations in the model parameters.