Entanglement transitions and quantum bifurcations under continuous
long-range monitoring
- URL: http://arxiv.org/abs/2307.05685v2
- Date: Mon, 18 Sep 2023 18:06:29 GMT
- Title: Entanglement transitions and quantum bifurcations under continuous
long-range monitoring
- Authors: Angelo Russomanno and Giulia Piccitto and Davide Rossini
- Abstract summary: We study the bipartite entanglement entropy of the quantum trajectories of a free-fermionic system, when subject to a continuous nonlocal monitoring.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We study the asymptotic bipartite entanglement entropy of the quantum
trajectories of a free-fermionic system, when subject to a continuous nonlocal
monitoring. The measurements are described by Gaussian-preserving two-point
operators, whose strength decays as a power-law with exponent $\alpha$.
Different behaviors of the entanglement entropy with the system size emerge:
for $\alpha$ below a given threshold value a volume-law behavior sets in, while
for larger $\alpha$ we observe a transition from subvolume to area-law, whose
exact location depends on the measurements rate and on the presence of a
Hamiltonian dynamics. We also consider the expectation probability distribution
of the measurement operators, and find that this distribution features a
transition from a unimodal to a bimodal shape. We discuss the possible
connections between this qualitative change of the distribution and the
entanglement transition points.
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