Ancilla quantum measurements on interacting chains: Sensitivity of entanglement dynamics to the type and concentration of detectors

• URL: http://arxiv.org/abs/2311.13011v2
• Date: Mon, 27 May 2024 12:39:13 GMT
• Title: Ancilla quantum measurements on interacting chains: Sensitivity of entanglement dynamics to the type and concentration of detectors
• Authors: Elmer V. H. Doggen, Igor V. Gornyi, Alexander D. Mirlin,
• Abstract summary: We consider a quantum many-body lattice system that is coupled to ancillary degrees of freedom (detectors'') We explore the dynamics of density and of entanglement entropy in the chain, for various values of $rho_a$ and $M$.
• Score: 46.76612530830571
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We consider a quantum many-body lattice system that is coupled to ancillary degrees of freedom (``detectors''), which are periodically measured by means of strong projective measurements. The concentration $\rho_a$ of ancillae and their coupling $M$ to the main system are considered as parameters. We explore the dynamics of density and of entanglement entropy in the chain, for various values of $\rho_a$ and $M$ for two models of the detector-chain interaction that couple the local density in the chain to a detector degree of freedom. It is found that, for the density-density ($S_z s_z$-type in spin language) coupling, the critical values $M_c$ for the measurement-induced entanglement transition depends sensitively on $\rho_a$. Moreover, our results indicate that for a sufficiently small $\rho_a$ the transition in this model disappears, i.e., a finite density of detectors is needed to reach a disentangling phase. The behavior is qualitatively different for the second model, with density-hopping ($S_z s_x$-type) coupling. Specifically, the dynamics is much less sensitive to the concentration $\rho_a$ of detectors than in the first model. Furthermore, the dependence of entanglement on the coupling strength $M$ is strongly non-monotonic, indicating re-entrance of the entangling phase at large $M$.

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