Ancilla quantum measurements on interacting chains: Sensitivity of entanglement dynamics to the type and concentration of detectors
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| Format: | Preprint |
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2023
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| author | Doggen, Elmer V. H. Gornyi, Igor V. Mirlin, Alexander D. |
| author_facet | Doggen, Elmer V. H. Gornyi, Igor V. Mirlin, Alexander D. |
| contents | 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 $ρ_a$ 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 $ρ_a$ 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 $ρ_a$. Moreover, our results indicate that for a sufficiently small $ρ_a$ 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 $ρ_a$ 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 $M$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2311_13011 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Ancilla quantum measurements on interacting chains: Sensitivity of entanglement dynamics to the type and concentration of detectors Doggen, Elmer V. H. Gornyi, Igor V. Mirlin, Alexander D. Quantum Physics Disordered Systems and Neural Networks Mesoscale and Nanoscale Physics Strongly Correlated Electrons 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 $ρ_a$ 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 $ρ_a$ 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 $ρ_a$. Moreover, our results indicate that for a sufficiently small $ρ_a$ 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 $ρ_a$ 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 $M$. |
| title | Ancilla quantum measurements on interacting chains: Sensitivity of entanglement dynamics to the type and concentration of detectors |
| topic | Quantum Physics Disordered Systems and Neural Networks Mesoscale and Nanoscale Physics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2311.13011 |