Entanglement Dynamics between Ising Spins and a Central Ancilla
- URL: http://arxiv.org/abs/2103.08517v3
- Date: Thu, 4 Nov 2021 15:29:52 GMT
- Title: Entanglement Dynamics between Ising Spins and a Central Ancilla
- Authors: Joseph Szabo and Nandini Trivedi
- Abstract summary: We study competing entanglement dynamics in an open Ising-spin chain coupled to an external central ancilla qudit.
In this setting, purely spin-spin entanglement metrics such as mutual information and quantum Fisher information (QFI) decay as the ancilla entanglement entropy grows.
Our results present a new framework that connects physical spin-fluctuations, QFI, and bipartite entanglement entropy between collective quantum systems.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We investigate competing entanglement dynamics in an open Ising-spin chain
coupled to an external central ancilla qudit. In studying the real-time
behavior following a quench from an unentangled spin-ancilla state, we find
that the ancilla entanglement entropy $S_{vN;\mathcal{A}}$ tracks the dynamical
phase transition in the underlying spin system. In this composite setting,
purely spin-spin entanglement metrics such as mutual information and quantum
Fisher information (QFI) decay as the ancilla entanglement entropy grows. We
define multipartite entanglement loss (MEL) as the difference between
collective magnetic fluctuations and QFI, which is zero in the pure spin chain
limit. MEL directly quantifies the ancilla's effect on the development of
spin-spin entanglement. One of our central results is that $MEL(t) \propto
e^{S_{vN;\mathcal{A}}(t)}$. Our results provide a platform for exploring
composite system entanglement dynamics and suggest that MEL serves as a
quantitative estimate of information entropy shared between collective spins
and the ancilla qudit. Our results present a new framework that connects
physical spin-fluctuations, QFI, and bipartite entanglement entropy between
collective quantum systems.
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