Unraveling-induced entanglement phase transition in diffusive trajectories of continuously monitored noninteracting fermionic systems

Moritz Eissler, Igor Lesanovsky, Federico Carollo

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Abstract

The competition between unitary quantum dynamics and dissipative stochastic effects, as emerging from continuous-monitoring processes, can culminate in measurement-induced phase transitions.Here, a many-body system abruptly passes, when exceeding a critical measurement rate, from a highly entangled phase to a low-entanglement one. We consider a different perspective on entanglement phase transitions and explore whether these can emerge when the measurement process itself is modified, while keeping the measurement rate fixed. To illustrate this idea, we consider a noninteracting fermionic system and focus on diffusive detection processes. Through extensive numerical simulations, we show that, upon varying a suitable unraveling parameter —interpolating between measurements of different quadrature operators— the system displays a transition from a phase with area-law entanglement to one where entanglement scales logarithmically with the system size. Our findings may be relevant for tailoring quantum correlations in noisy quantum devices and for conceiving optimal classical simulation strategies.
Original languageEnglish
Article number022205
Number of pages9
JournalPhysical Review A
Volume111
DOIs
Publication statusPublished - 4 Feb 2025

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Funding

We thank M. Cech, G. Perfetto, and C. Nill for fruitful discussions. We are further grateful to X. Turkeshi for useful discussions and for drawing our attention to recent literature. We acknowledge funding from the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Project No. 435696605 and through the Research Unit FOR 5413/1, Grant No. 465199066, through the Research Unit FOR 5522/1, Grant No. 499180199, and from the state of Baden-W\u00FCrttemberg through bwHPC Grant No. INST 40/575-1 FUGG (JUSTUS 2 cluster). This project has also received funding from the European Union's Horizon Europe research and innovation program under Grant Agreement No. 101046968 (BRISQ). F.C. is indebted to the Baden-W\u00FCrttemberg Stiftung for the financial support of this research project by the Eliteprogramme for Postdocs. This work was supported by the QuantERA II programme (project CoQuaDis, DFG Grant No. 532763411) that has received funding from the EU H2020 research and innovation programme under Grant Agreement No. 101017733.

FundersFunder number
Deutsche Forschungsgemeinschaft435696605, FOR 5413/1, FOR 5522/1, 499180199, 465199066
Horizon Europe101046968
Horizon Europe101017733
Baden-Württemberg Stiftung532763411

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