Mixed quantization and partial hyperbolicity
Snir Ben Ovadia, Qiaochu Ma, Federico Rodriguez-Hertz
TL;DR
This paper proves stable quantum ergodicity for spin Hamiltonians by combining mixed quantization techniques with ergodicity results for systems exhibiting partial hyperbolicity.
Contribution
It introduces a novel approach that merges mixed quantization methods with ergodic theory for partially hyperbolic systems, advancing understanding of quantum ergodicity.
Findings
Established stable quantum ergodicity for spin Hamiltonians
Developed new analytic techniques of mixed quantization
Connected local index theory with ergodic properties
Abstract
We establish stable quantum ergodicity for spin Hamiltonians, also known as Pauli-Schr\"odinger operators. Our approach combines new analytic techniques of mixed quantization, inspired by local index theory, with stable ergodicity results for partially hyperbolic systems.
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Taxonomy
TopicsMathematical Analysis and Transform Methods · Medical Imaging Techniques and Applications · Digital Filter Design and Implementation