#QuantumPhase
Novel mathematical framework establishing quantum phase operators as trace-class perturbations of Susskind-Glogower operators, with rigorous spectral analysis and applications to two-phase quantum measurements.

#QuantumPhase #QuantumInformation #Research
Quantum Phase Operators for the Harmonic Oscillator: Trace-Class Perturbation Analysis
arxiv.org
June 25, 2026 at 7:55 AM
Researchers solved exact dynamics of topological order formation, revealing sudden quenches fail to generate SPT order despite entering topological phase, while slow ramps succeed through Kibble-Zurek scaling—key to dynamical topological state preparation.

#TopologicalOrder #QuantumPhase #Research
Exact Dynamics of Topological Order Across a CDW–SPT Transition
arxiv.org
June 13, 2026 at 4:45 PM
Modular variables detect nonlocal phase information in spatially separated wave packets even under environmental dissipation, where standard quantum observables fail—providing a robust probe for quantum phase information in open quantum systems.

#QuantumPhase #OpenQuantumSystems #Research
Modular Variables and Phase Detectability in Open Quantum Systems
arxiv.org
May 22, 2026 at 7:02 AM
Novel framework systematically predicts entanglement spectra of 1D gapless SPT states via quantum channels applied to critical states, enabling understanding of boundary conformal field theories and topological properties at phase transitions.

#TopologicalQuantum #QuantumPhase #Research
Framework for Predicting Entanglement Spectra of Gapless Symmetry-Protected Topological States
iq.fp2.dev
April 15, 2026 at 10:44 AM