Disordered monitored free fermions

Abstract

Scrambling of quantum information in unitary evolution can be hindered due to measurements and localization, which pin quantum mechanical wavefunctions in real space suppressing entanglement in the steady state. In monitored free-fermionic models, the steady state undergoes an entanglement transition from a logarithmically entangled critical state to area-law. However, disorder can lead to Anderson localization. We investigate free fermions in a random potential with continuous monitoring, which enables us to probe the interplay between measurement-induced and localized phases. We show that the critical phase is stable up to a finite disorder and the criticality is consistent with the Berezinskii-Kosterlitz-Thouless universality. Furthermore, monitoring destroys localization, and the area-law phase at weak dissipation exhibits power-law decay of single-particle wave functions. Our work opens the avenue to probe this novel phase transition in electronic systems of quantum dot arrays and nanowires, and allow quantum control of entangled states.

12 pages, 12 figures, 1 table

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Cited by in corpus (46)

• Theory of free fermions under random projective measurements
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• Coherence requirements for quantum communication from hybrid circuit dynamics
• Entanglement phases, localization and multifractality of monitored free fermions in two dimensions
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• Entanglement dynamics with string measurement operators
• Measurement-induced symmetry restoration and quantum Mpemba effect
• Chaos and magic in the dissipative quantum kicked top
• Generalized Zeno effect and entanglement dynamics induced by fermion counting
• Localization, fractality, and ergodicity in a monitored qubit
• The impact of different unravelings in a monitored system of free fermions
• Entanglement enhancement induced by noise in inhomogeneously monitored systems
• Quantifying measurement-induced quantum-to-classical crossover using an open-system entanglement measure
• Nonstabilizerness in the unitary and monitored quantum dynamics of XXZ-staggered and SYK models
• Unscrambling of single-particle wave functions in systems localized through disorder and monitoring
• Generalizing measurement-induced phase transitions to information exchange symmetry breaking
• Ancilla quantum measurements on interacting chains: Sensitivity of entanglement dynamics to the type and concentration of detectors
• Measurement-Induced Entanglement Phase Transition in Free Fermion Systems
• Fate of non-Hermitian free fermions with Wannier-Stark ladder
• Universal Stochastic Equations of Monitored Quantum Dynamics
• Measurement-induced Lévy flights of quantum information
• Entanglement transitions induced by quantum-data collection
• Measurement-induced phase transition in free bosons
• Measurement Induced Chirality II: Diffusion and Disorder
• Controlling measurement-induced phase transitions with tunable detector coupling
• Multifractality in monitored single-particle dynamics
• Field theory for monitored Brownian SYK clusters
• Measurement-induced phase transitions for free fermions in a quasiperiodic potential
• Measurement-induced phase transition in periodically driven free-fermionic systems
• Random Quantum Circuits with Time-Reversal Symmetry
• Mesoscopic Fluctuations and Multifractality at and across Measurement-Induced Phase Transition
• Entanglement dynamics of monitored noninteracting fermions on graphics processing units
• Quantum dynamics of monitored free fermions: Evolution of quantum correlations and scaling at measurement-induced phase transition
• Entanglement phases and phase transitions in monitored free fermion system due to localizations
• Enhanced localization in the prethermal regime of continuously measured many-body localized systems
• Entanglement behavior and localization properties in monitored fermion systems
• Computable measures of non-Markovianity for Gaussian free fermion systems
• Measurement-Induced Phase Transition in a Disordered XX Spin Chain: A Real-Space Renormalization Group Study
• Symmetry and Topology of Monitored Quantum Dynamics
• Absence of measurement- and unraveling-induced entanglement transitions in continuously monitored one-dimensional free fermions
• Exact solution to a Bhatnagar-Gross-Krook-type equation for quantum lattice gases with dephasing noise
• Destruction and recovery of the entanglement entropy of a many-body quantum system after a single measurement
• Entanglement Phase Transition in Chaotic non-Hermitian Systems
• Controlled Zeno-Induced Localization of Free Fermions in a Quasiperiodic Chain
• Asymptotic freedom, lost: Complex conformal field theory in the two-dimensional $O(N>2)$ nonlinear sigma model and its realization in Heisenberg spin chains
• Generation of Volume-Law Entanglement by Local-Measurement-Only Quantum Dynamics