Quantum chaotic systems with arbitrarily large Ehrenfest times

TL;DR

This paper demonstrates that certain quantum systems can have arbitrarily large Ehrenfest times, challenging the common belief that quantum chaos is fundamentally limited by first principles.

Contribution

It introduces a class of Hamiltonians where quantum observables exhibit large Ehrenfest times, contradicting previous assumptions about quantum chaos.

Findings

Quantum systems with specific Hamiltonians can have arbitrarily large Ehrenfest times.

The results challenge the notion that quantum chaos is inherently limited.

The study provides a new perspective on quantum-classical correspondence in chaotic systems.

Abstract

A class of time independent and physically meaningful Hamiltonians leads to evolution of observable quantities whose Ehrenfest times are arbitrarily large. This fact contradicts the popular claim that the true chaos is in quantum mechanics excluded by first principles.