Point-gap topology of stochastic matrices characterizes both directed transport and feedback-induced non-Markovianity in classical stochastic processes, with a topological quantum simulation of the latter.
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14 Pith papers cite this work. Polarity classification is still indexing.
representative citing papers
Hybridization of dissipative Kerr solitons forms coherent structures in both supermodes of coupled microresonators via four-wave mixing, yielding flat spectra near the pump and oscillatory wings.
A topological word framework unifies non-Abelian bulk-boundary correspondence by encoding gap-resolved charges and band adjacency in a sequence, applicable even when global topology is ill-defined.
Rank deficiency of local Hamiltonians in classically fragmented models generates entangled frozen states, splitting mobile sectors into quantum Krylov subspaces and frozen entangled parts, with weak and strong quantum fragmentation distinguished by the number and ergodicity of irreducible blocks.
Transient offset backscattering peak observed in short-time dynamics of spin-1/2 particles in 2D disordered potentials with uniform SU(2) gauge fields, explained by non-Abelian gauge transformation with perturbative prediction of dephasing time.
Measurement-based quantum diffusion models are introduced to recover pure and mixed quantum states via weak measurements, quantum score matching, and Petz recovery maps with error bounds, bridging to classical stochastic reversals.
Adding a continuous bond energy ε to 2D site percolation shifts the threshold smoothly and drives the correlation-length exponent ν from 1/2 through 4/3 to 1, as shown by Monte Carlo simulations and real-space RG that also reveal an energy-weighted correlation length and antiferromagnetic ordering,
At special drive frequencies, the leading perturbative Floquet Hamiltonian of a driven Rydberg chain maps to the XXZ model, producing emergent prethermal integrability confirmed by level statistics and entanglement in exact diagonalization.
A scheme using modulated Raman pulses achieves spin-dependent kick infidelities below 10^{-5} in trapped ions despite micromotion by optimizing RF parameters to cancel backward kicks.
DMRG simulations show a doublon-holon paired phase with d-wave symmetry emerging between spin-singlet, CDW, and eta-pairing phases in photodoped Mott insulators.
Substrate commensuration induces intervalley coupling in TBG, hybridizing flat bands into a p_x-p_y honeycomb model with quadratic touchings that flatten due to frustration and yield topological bands with C up to 4.
LIGO-Virgo-KAGRA O4a data yields the strongest constraints on primordial black hole abundance for 0.6-100 solar masses, with resolvable mergers dominating the limits and no compelling evidence for a PBH contribution in joint fits with astrophysical black holes.
Electric-field shifting of the d-level energy switches the magnetic ground state of an itinerant-electron dimer among ferromagnetic, antiferromagnetic, and noncollinear configurations.
Resistivity measurements show angle-dependent enhancement of the Fermi-liquid coefficient A at the metamagnetic transition that coincides with the onset of superconductivity in the polarized regime above 40 T, interpreted as evidence for boosted quantum-critical magnetic fluctuations.
citing papers explorer
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Topological Characterization of Discrete-Time Classical Stochastic Processes: Dual Role of Point-Gap Topology
Point-gap topology of stochastic matrices characterizes both directed transport and feedback-induced non-Markovianity in classical stochastic processes, with a topological quantum simulation of the latter.
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Hybridization of Kerr Solitons in Coupled Microresonators
Hybridization of dissipative Kerr solitons forms coherent structures in both supermodes of coupled microresonators via four-wave mixing, yielding flat spectra near the pump and oscillatory wings.
-
Topological Word for Non-Abelian Topological Insulators
A topological word framework unifies non-Abelian bulk-boundary correspondence by encoding gap-resolved charges and band adjacency in a sequence, applicable even when global topology is ill-defined.
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Quantum Hilbert Space Fragmentation and Entangled Frozen States
Rank deficiency of local Hamiltonians in classically fragmented models generates entangled frozen states, splitting mobile sectors into quantum Krylov subspaces and frozen entangled parts, with weak and strong quantum fragmentation distinguished by the number and ergodicity of irreducible blocks.
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Coherent transport in two-dimensional disordered potentials under spatially uniform SU(2) gauge fields
Transient offset backscattering peak observed in short-time dynamics of spin-1/2 particles in 2D disordered potentials with uniform SU(2) gauge fields, explained by non-Abelian gauge transformation with perturbative prediction of dephasing time.
-
Measurement-Based Quantum Diffusion Models
Measurement-based quantum diffusion models are introduced to recover pure and mixed quantum states via weak measurements, quantum score matching, and Petz recovery maps with error bounds, bridging to classical stochastic reversals.
-
Energy-Weighted Site Percolation in Two Dimensions
Adding a continuous bond energy ε to 2D site percolation shifts the threshold smoothly and drives the correlation-length exponent ν from 1/2 through 4/3 to 1, as shown by Monte Carlo simulations and real-space RG that also reveal an energy-weighted correlation length and antiferromagnetic ordering,
-
Emergent prethermal Bethe integrability in a periodically driven Rydberg chain
At special drive frequencies, the leading perturbative Floquet Hamiltonian of a driven Rydberg chain maps to the XXZ model, producing emergent prethermal integrability confirmed by level statistics and entanglement in exact diagonalization.
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High-Fidelity Raman Spin-Dependent Kicks in the Presence of Micromotion
A scheme using modulated Raman pulses achieves spin-dependent kick infidelities below 10^{-5} in trapped ions despite micromotion by optimizing RF parameters to cancel backward kicks.
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Doublon-Holon Pairing State in Photodoped Mott Insulators
DMRG simulations show a doublon-holon paired phase with d-wave symmetry emerging between spin-singlet, CDW, and eta-pairing phases in photodoped Mott insulators.
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Intervalley-Coupled Twisted Bilayer Graphene from Substrate Commensuration
Substrate commensuration induces intervalley coupling in TBG, hybridizing flat bands into a p_x-p_y honeycomb model with quadratic touchings that flatten due to frustration and yield topological bands with C up to 4.
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Constraints on primordial black holes from the first part of LIGO-Virgo-KAGRA fourth observing run
LIGO-Virgo-KAGRA O4a data yields the strongest constraints on primordial black hole abundance for 0.6-100 solar masses, with resolvable mergers dominating the limits and no compelling evidence for a PBH contribution in joint fits with astrophysical black holes.
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Control of localized states of itinerant electrons and their magnetic interactions
Electric-field shifting of the d-level energy switches the magnetic ground state of an itinerant-electron dimer among ferromagnetic, antiferromagnetic, and noncollinear configurations.
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Boosted magnetic fluctuations at the onset of superconductivity in UTe$_2$ beyond 40 T
Resistivity measurements show angle-dependent enhancement of the Fermi-liquid coefficient A at the metamagnetic transition that coincides with the onset of superconductivity in the polarized regime above 40 T, interpreted as evidence for boosted quantum-critical magnetic fluctuations.