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quant-ph2025

Measurement-induced Lévy flights of quantum information

Igor Poboiko, Marcin Szyniszewski, Christopher J. Turner +3

We explore a model of free fermions in one dimension, subject to frustrated (non-commuting) local measurements across adjacent sites, which resolves the fermions into non-orthogona…

quant-ph2025

Mesoscopic Fluctuations and Multifractality at and across Measurement-Induced Phase Transition

Igor Poboiko, Igor V. Gornyi, Alexander D. Mirlin

We explore statistical fluctuations over the ensemble of quantum trajectories in a model of two-dimensional free fermions subject to projective monitoring of local charge across th…

quant-ph2025

Measurement-induced transitions for interacting fermions

Igor Poboiko, Paul Pöpperl, Igor V. Gornyi +1

Effect of measurements on interacting fermionic systems with particle-number conservation, whose dynamics is governed by a time-independent Hamiltonian, is studied. We develop Keld…

quant-ph2024

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

Elmer V. H. Doggen, Igor V. Gornyi, Alexander D. Mirlin

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 measur…

quant-ph2024

Localization, fractality, and ergodicity in a monitored qubit

Paul Pöpperl, Igor V. Gornyi, David B. Saakian +1

We study the statistical properties of a single two-level system (qubit) subject to repetitive ancilla-based measurements. This setup is a fundamental minimal model for exploring t…

quant-ph2024

Measurement-induced phase transition for free fermions above one dimension

Igor Poboiko, Igor V. Gornyi, Alexander D. Mirlin

A theory of the measurement-induced entanglement phase transition for free-fermion models in dimensions is developed. The critical point separates a gapless phase with $\ell^…