Higher-order correlator families are recast as operator-space geometries that, when conditioned on a chosen subspace, reveal irreducible structures distinguishing free, integrable, chaotic, localized, and Floquet dynamics.
Interferometric approach to probing fast scrambling
5 Pith papers cite this work. Polarity classification is still indexing.
5
Pith papers citing it
abstract
Out-of-time-order correlation functions provide a proxy for diagnosing chaos in quantum systems. We propose and analyze an interferometric scheme for their measurement, using only local quantum control and no reverse time evolution. Our approach utilizes a combination of Ramsey interferometry and the recently demonstrated ability to directly measure Renyi entropies. To implement our scheme, we present a pair of cold-atom-based experimental blueprints; moreover, we demonstrate that within these systems, one can naturally realize the transverse-field Sherrington-Kirkpatrick (TFSK) model, which exhibits certain similarities with fast scrambling black holes. We perform a detailed numerical study of scrambling in the TFSK model, observing an interesting interplay between the fast scrambling bound and the onset of spin-glass order.
citation-role summary
background 2
citation-polarity summary
fields
quant-ph 5years
2026 5roles
background 2polarities
background 2representative citing papers
A geometric result links quantum thermalization in almost all accessible pure states to saturation of controllably nonlocal out-of-time-ordered correlators, avoiding statistical averages entirely.
Long-range measurement-only Clifford circuits display several entanglement and scrambling phases, including a structured-circuit phase with volume-law entanglement, long-range correlations, rapid ancilla purification, and no scrambling.
Reviews the many-body semiclassical propagator and its use in explaining quantum chaos phenomena such as spectral correlations, eigenstate morphology, weak localization, and out-of-time-order correlators in indistinguishable particle systems.
citing papers explorer
-
Irreducible Geometry of Higher-Order Correlator Families
Higher-order correlator families are recast as operator-space geometries that, when conditioned on a chosen subspace, reveal irreducible structures distinguishing free, integrable, chaotic, localized, and Floquet dynamics.
-
Provable quantum thermalization without statistical averages
A geometric result links quantum thermalization in almost all accessible pure states to saturation of controllably nonlocal out-of-time-ordered correlators, avoiding statistical averages entirely.
-
Entanglement and information scrambling in long-range measurement-only circuits
Long-range measurement-only Clifford circuits display several entanglement and scrambling phases, including a structured-circuit phase with volume-law entanglement, long-range correlations, rapid ancilla purification, and no scrambling.
-
Quantum chaos in many-body systems of indistinguishable particles
Reviews the many-body semiclassical propagator and its use in explaining quantum chaos phenomena such as spectral correlations, eigenstate morphology, weak localization, and out-of-time-order correlators in indistinguishable particle systems.
- Topological Control of Quantum Chaos Diagnostics: OTOCs, Spectral Statistics, and Information Scrambling in Ising Model