Skip to content
DraconiticResearch
Search Sources API
203,234 studies31 sourcesUpdated 25 min ago
PreprintCC BY 4.0arXiv

Coherent Release Fronts in Krylov Chains and Thermal AdS2 Response

  • Mohsen Alishahiha
Open at sourcePDFDOICite

Abstract

We study coherent release from a finite serial Krylov sector into an exact conformal tail with asymptotically linear Lanczos coefficients. We derive the cumulative occupation up to a cut that moves to greater Krylov depth with time, tracking the probability accumulated behind the propagating front. This quantity separates the release dynamics of the finite sector from subsequent propagation through the tail. The tail sets the logarithmic transit scale, while the finite sector shapes the resulting distribution. The early edge records the number of serial steps before emission, while the late edge reflects slow resonances and interference and can also exhibit logarithmic enhancements. Thus, one- and two-site sectors can share the same leading resonance in their continued-fraction descriptions yet produce distinct cumulative occupation patterns. We illustrate this framework in thermal AdS2, where a dressed oscillator yields, in the weak-coupling limit, a two-site shallow sector coupled to the conformal tail.

Related

  1. Krylov geometry and optimal recovery under uncertain coherent noise
    Abhishek Chowdhury
    arXivPreprintCC BY 4.0Full textMathematical physicsHigh-energy & particle physicsarXiv
  2. Magnons in α-Fe2O3 microdisks: from thermal to coherent excitation
    Jinlong Wang, Katharina Müller, Haishen Peng +9
    arXivPreprintCC BY 4.0Full textApplied physics & instrumentationarXiv
  3. Long-lived Coherent Phonons Reveal Competing Thermal and Many-Body Dynamics in α-In2Se3
    Xuanchao Zhang, Dehao Yuan, Junhua Zhou +4
    arXivPreprintarXiv licenceFull textAtomic, molecular & optical physicsQuantum physics & quantum informationarXiv
  4. Coherent Selection of Critical Kasner Response
    Yi-kun Li
    arXivPreprintarXiv licenceFull textGravitation & general relativityarXiv
  5. Coherent multipath wave response on Reissner-Nordström analogue surface
    Peng-Yu Chen, Sen Guo, Qing-Quan Jiang +2
    arXivPreprintarXiv licenceFull textGravitation & general relativityarXiv

Cite

BibTeXRIS
BibTeX
@misc{alishahiha2026coherent,
  title = {{Coherent Release Fronts in Krylov Chains and Thermal AdS$_2$ Response}},
  author = {Mohsen Alishahiha},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.01862},
  eprint = {2610.01862},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.01862},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Coherent Release Fronts in Krylov Chains and Thermal AdS_2 Response
AU  - Mohsen Alishahiha
PY  - 2026
DA  - 2026/10/14
PB  - arXiv
DO  - 10.48550/arxiv.2610.01862
UR  - https://arxiv.org/abs/2610.01862
AB  - We study coherent release from a finite serial Krylov sector into an exact conformal tail with asymptotically linear Lanczos coefficients. We derive the cumulative occupation up to a cut that moves to greater Krylov depth with time, tracking the probability accumulated behind the propagating front. This quantity separates the release dynamics of the finite sector from subsequent propagation through the tail. The tail sets the logarithmic transit scale, while the finite sector shapes the resulting distribution. The early edge records the number of serial steps before emission, while the late edge reflects slow resonances and interference and can also exhibit logarithmic enhancements. Thus, one- and two-site sectors can share the same leading resonance in their continued-fraction descriptions yet produce distinct cumulative occupation patterns. We illustrate this framework in thermal AdS_2, where a dressed oscillator yields, in the weak-coupling limit, a two-site shallow sector coupled to the conformal tail.
ER  -