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PreprintarXiv licencearXiv

Action-Quantized Scar Multiplets and Dissipative Cat States from Fractal Period-Locking in the Open Quantum Baker Map

  • Leonardo Ermann
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Abstract

We open the quantum baker map with a position window of width w and center qc. Classical pruning tiles the (qc,w) plane into diamonds where the T leading resonances form root-of-unity multiplets. At w=1/2 one periodic orbit survives for almost every qc, and the multiplets are quantized without free parameters: their modulus 2−1/2 saturates the pressure bound and their phase is the orbit action. They form cycling multicomponent cat states, and the opening becomes one mid-circuit measurement, enabling spectroscopy with ∼102 shots on quantum processors.

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Cite

BibTeXRIS
BibTeX
@misc{ermann2026actionquantized,
  title = {{Action-Quantized Scar Multiplets and Dissipative Cat States from Fractal Period-Locking in the Open Quantum Baker Map}},
  author = {Leonardo Ermann},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.23573},
  eprint = {2610.23573},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.23573},
}
RIS
TY  - UNPB
TI  - Action-Quantized Scar Multiplets and Dissipative Cat States from Fractal Period-Locking in the Open Quantum Baker Map
AU  - Leonardo Ermann
PY  - 2026
DA  - 2026/10/16
PB  - arXiv
DO  - 10.48550/arxiv.2610.23573
UR  - https://arxiv.org/abs/2610.23573
AB  - We open the quantum baker map with a position window of width w and center q_c. Classical pruning tiles the (q_c,w) plane into diamonds where the T leading resonances form root-of-unity multiplets. At w=1/2 one periodic orbit survives for almost every q_c, and the multiplets are quantized without free parameters: their modulus 2^−1/2 saturates the pressure bound and their phase is the orbit action. They form cycling multicomponent cat states, and the opening becomes one mid-circuit measurement, enabling spectroscopy with ∼10^2 shots on quantum processors.
ER  -