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Quantum Software Tools Programming

More on OTOCs and Chaos in Quantum Mechanics - Magnetic Fields

arXiv
Authors: Cameron Beetar, Jeff Murugan

Year

2026

Paper ID

2820

Status

Preprint

Abstract Read

~2 min

Abstract Words

101

Citations

N/A

Abstract

We revisit thermal out-of-time-order correlators (OTOCs) in single-particle quantum systems, focusing on magnetic billiards. Using the stadium billiard as a testbed, we compute the thermal OTOC CT(t) = -langle [x(t), p]2 rangle_β and extract Lyapunov-like exponents λL that quantify early-time growth. We map out λL(T, B), revealing a crossover from quantum chaos to magnetic rigidity. In parallel, we compute an alternative OTOC built from guiding-center operators, which exhibits qualitatively distinct dynamics and no exponential growth. Our results offer a controlled framework for probing scrambling, temperature dependence, and the interplay of geometry and magnetic fields in quantum systems.

Why This Paper Matters

  • This paper contributes to the Quantum Software Tools & Programming research area in the Quantum Articles archive.
  • It adds a 2026 reference point for readers tracking recent quantum research.
  • We revisit thermal out-of-time-order correlators (OTOCs) in single-particle quantum systems, focusing on magnetic billiards.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2602.05322 [2] arXiv https://arxiv.org/abs/2602.05322 [3] Publisher https://arxiv.org/abs/2602.05322

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