Measurement-induced multipartite-entanglement regimes in collective spin
systems
- URL: http://arxiv.org/abs/2305.10209v4
- Date: Fri, 12 Jan 2024 10:14:59 GMT
- Title: Measurement-induced multipartite-entanglement regimes in collective spin
systems
- Authors: Pablo M. Poggi, Manuel H. Mu\~noz-Arias
- Abstract summary: We study the competing effects of collective generalized measurements and interaction-induced scrambling in the dynamics of an ensemble of spin-1/2 particles.
We show that the interplay between collective unitary dynamics and measurements leads to three regimes of the average Quantum Fisher Information.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We study the competing effects of collective generalized measurements and
interaction-induced scrambling in the dynamics of an ensemble of spin-1/2
particles at the level of quantum trajectories. This setup can be considered as
analogous to the one leading to measurement-induced transitions in quantum
circuits. We show that the interplay between collective unitary dynamics and
measurements leads to three regimes of the average Quantum Fisher Information
(QFI), which is a witness of multipartite entanglement, as a function of the
monitoring strength. While both weak and strong measurements lead to extensive
QFI density (i.e., individual quantum trajectories yield states displaying
Heisenberg scaling), an intermediate regime of classical-like states emerges
for all system sizes where the measurement effectively competes with the
scrambling dynamics and precludes the development of quantum correlations,
leading to sub-Heisenberg-limited states. We characterize these regimes and the
crossovers between them using numerical and analytical tools, and discuss the
connections between our findings, entanglement phases in monitored many-body
systems, and the quantum-to-classical transition.
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