Sequentially generated entanglement, macroscopicity and squeezing in a spin chain

TL;DR

This paper investigates how sequential entangling operations in a spin chain generate macroscopic quantum properties and squeezing, revealing the conditions under which these phenomena occur.

Contribution

It provides an explicit analysis of the quantum states formed by sequential entangling operations using matrix product states, linking entanglement to macroscopicity and squeezing.

Findings

Maximal entanglement leads to macroscopicity across the chain.

Finite sequential interactions induce squeezing of collective spins.

The approach enables calculation of correlations and fluctuations in the system.

Abstract

We study quantum states generated by a sequence of nearest neighbor bipartite entangling operations along a one-dimensional chain of spin qubits. After a single sweep of such a set of operations, the system is effectively described by a matrix product state (MPS) with the same virtual dimension as the spin qubits. We employ the explicit form of the MPS to calculate expectation values and two-site correlation functions of local observables, and we use the results to study fluctuations of collective observables. Through the so-called macroscopicity and the squeezing properties of the collective spin variables they witness the quantum correlations and multi-particle entanglement within the chain. Macroscopicity only occurs over the entire chain if the nearest neighbor interaction is maximally entangling, while a finite, sequential interaction between nearest neighbor particles leads to squeezing of the collective spin.