Subsystem information capacity distinguishes critical phases in the generalized Aubry-André-Harper model by exposing spatial heterogeneity, stepwise subsystem-size dependence, and subregion echoes linked to incommensurately distributed zeros in hopping terms.
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Uncorrelated hopping disorder in the generalized Aubry-André model enhances localization and turns the transition into a crossover, while spatially correlated disorder causes partial delocalization near strong bonds, as shown in momentum-space lattice experiments with 87Rb atoms.
Quasiperiodic modulation of Peierls phases in a disorder-free two-leg ladder drives Anderson localization transitions, yielding delocalized, localized, and mixed phases.
Anderson localisation on spatially structured random graphs shows a transition shifting to stronger disorder with increasing hopping range, vanishing beyond a critical range with direct delocalised-localised transition and Kosterlitz-Thouless-like scaling, without an intervening multifractal phase.
Replica Keldysh analysis shows monitored 1D free fermions exhibit area-law entanglement beyond an exponentially large scale ln(l_φ,*) ~ J/[γ cos(φ)], with no genuine measurement- or unraveling-induced entanglement transitions.
Kerr nonlinearity enables state-selective access to a critical window of coexisting localized, critical, and extended states in a quasiperiodic photonic lattice.
Continuous-space simulations of bosons in hexagonal lattices reveal suppressed Mott insulator phases in honeycomb geometries due to density-assisted tunneling and multiple sublattice Mott lobes in asymmetric h-BN lattices.
Monitored free fermions are mapped to a nonlinear sigma model whose finite-time evolution and quasi-1D long-time scaling are used to locate the measurement-induced transition and extract the correlation-length exponent in two dimensions.
Selective random defects on a honeycomb lattice induce a topological transition in certain regimes by modulating hopping amplitudes in an effective model.
Weak localization is reported for the first time in twisted bilayer graphene, with extracted phase coherence and intervalley scattering lengths indicating electron-electron dephasing and point-defect intervalley scattering.
Introduces statistical dynamical quantum phase transitions via Born-rule sampling of post-measurement states in quenched Ising chains, recovering DQPT features in high moments and proposing a measurement-based simulation protocol.
Disorder does not alter the presence or absence of measurement-induced phase transitions in noninteracting fermions; the long-time behavior is controlled by the same nonlinear sigma model with renormalized parameters.
Random spin-orbit coupling systematically lowers the quantum percolation threshold in site-diluted honeycomb lattices while shifting the critical behavior toward the two-dimensional symplectic universality class.
Localization in disordered Apollonian networks is energy-dependent and hierarchical: strongly localized on high-connectivity sites at spectral edges and on low-degree sites near zero energy, with patterns persisting under both diagonal and off-diagonal disorder.
A class-C N-channel quantum network model with random tunneling is mapped to a nonlinear sigma model in the large-N limit, with triplet modes typically massive except under specific conditions, and Zeeman field breaking additional symmetries.
A review summarizing theoretical and experimental progress on disorder-induced topological phases including TAIs, quasiperiodic extensions, non-Hermitian systems, and many-body realizations.
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Probing critical phases in quasiperiodic systems via subsystem information capacity
Subsystem information capacity distinguishes critical phases in the generalized Aubry-André-Harper model by exposing spatial heterogeneity, stepwise subsystem-size dependence, and subregion echoes linked to incommensurately distributed zeros in hopping terms.
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Localization with Hopping Disorder in Quasi-periodic Synthetic Momentum Lattice
Uncorrelated hopping disorder in the generalized Aubry-André model enhances localization and turns the transition into a crossover, while spatially correlated disorder causes partial delocalization near strong bonds, as shown in momentum-space lattice experiments with 87Rb atoms.
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Anderson localization via Peierls phase modulation
Quasiperiodic modulation of Peierls phases in a disorder-free two-leg ladder drives Anderson localization transitions, yielding delocalized, localized, and mixed phases.
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Anderson localisation in spatially structured random graphs
Anderson localisation on spatially structured random graphs shows a transition shifting to stronger disorder with increasing hopping range, vanishing beyond a critical range with direct delocalised-localised transition and Kosterlitz-Thouless-like scaling, without an intervening multifractal phase.
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Nonlinear Photonic Tripartite Phase
Kerr nonlinearity enables state-selective access to a critical window of coexisting localized, critical, and extended states in a quasiperiodic photonic lattice.
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Quantum phase diagrams for bosons in hexagonal optical potentials: A continuous-space quantum Monte Carlo study
Continuous-space simulations of bosons in hexagonal lattices reveal suppressed Mott insulator phases in honeycomb geometries due to density-assisted tunneling and multiple sublattice Mott lobes in asymmetric h-BN lattices.
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Born-rule statistical dynamical quantum phase transitions under measurement
Introduces statistical dynamical quantum phase transitions via Born-rule sampling of post-measurement states in quenched Ising chains, recovering DQPT features in high moments and proposing a measurement-based simulation protocol.
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Measurement-induced phase transitions in disordered fermions
Disorder does not alter the presence or absence of measurement-induced phase transitions in noninteracting fermions; the long-time behavior is controlled by the same nonlinear sigma model with renormalized parameters.
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Quantum percolation in honeycomb lattices under random spin-orbit coupling
Random spin-orbit coupling systematically lowers the quantum percolation threshold in site-diluted honeycomb lattices while shifting the critical behavior toward the two-dimensional symplectic universality class.
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Hierarchical localization in disordered Apollonian networks
Localization in disordered Apollonian networks is energy-dependent and hierarchical: strongly localized on high-connectivity sites at spectral edges and on low-degree sites near zero energy, with patterns persisting under both diagonal and off-diagonal disorder.
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The class C quantum network model with random tunneling and its nonlinear sigma model representation
A class-C N-channel quantum network model with random tunneling is mapped to a nonlinear sigma model in the large-N limit, with triplet modes typically massive except under specific conditions, and Zeeman field breaking additional symmetries.
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Recent progress on disorder-induced topological phases
A review summarizing theoretical and experimental progress on disorder-induced topological phases including TAIs, quasiperiodic extensions, non-Hermitian systems, and many-body realizations.