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PreprintCC BY 4.0arXiv

Out-of-time-order Correlators in Volcano potentials

  • Aritra Banerjee
  • Reetik Jangir
  • Rishant Sharma
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Abstract

The out-of-time-order correlator (OTOC) has emerged as an important diagnostic for quantum information scrambling and a key signature of quantum chaos. In this work, we discuss out-of-time-order correlators, analytically and numerically, for the so-called Volcano potentials. This family of potentials parametrically interpolates between bounded wells and confining walls, and includes Pöschl-Teller as a specific case. Through a combination of numerical diagonalization and semiclassical analysis, we investigate various regimes of the potential parameter regimes containing regions of both positive and negative curvatures. Moreover, we demonstrate in this case that short-time exponential growth of the OTOC does not necessarily signal global quantum chaos; instead, it correlates with the sampling of negative curvature regions by excited states.

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Cite

BibTeXRIS
BibTeX
@misc{banerjee2026outoftimeorder,
  title = {{Out-of-time-order Correlators in Volcano potentials}},
  author = {Aritra Banerjee and Reetik Jangir and Rishant Sharma},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.35990},
  eprint = {2609.35990},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.35990},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Out-of-time-order Correlators in Volcano potentials
AU  - Aritra Banerjee
AU  - Reetik Jangir
AU  - Rishant Sharma
PY  - 2026
DA  - 2026/09/28
PB  - arXiv
DO  - 10.48550/arxiv.2609.35990
UR  - https://arxiv.org/abs/2609.35990
AB  - The out-of-time-order correlator (OTOC) has emerged as an important diagnostic for quantum information scrambling and a key signature of quantum chaos. In this work, we discuss out-of-time-order correlators, analytically and numerically, for the so-called Volcano potentials. This family of potentials parametrically interpolates between bounded wells and confining walls, and includes Pöschl-Teller as a specific case. Through a combination of numerical diagonalization and semiclassical analysis, we investigate various regimes of the potential parameter regimes containing regions of both positive and negative curvatures. Moreover, we demonstrate in this case that short-time exponential growth of the OTOC does not necessarily signal global quantum chaos; instead, it correlates with the sampling of negative curvature regions by excited states.
ER  -