Quantum Chaos at Finite Temperature
arXiv:quant-ph/0106130 · doi:10.1016/S0375-9601(01)00555-2
Abstract
We use the quantum action to study quantum chaos at finite temperature. We present a numerical study of a classically chaotic 2-D Hamiltonian system - harmonic oscillators with anharmonic coupling. We construct the quantum action non-perturbatively and find temperature dependent quantum corrections in the action parameters. We compare Poincaré sections of the quantum action at finite temperature with those of the classical action.
Text (LaTeX), Figs. (ps)
References in corpus (8)
- Emergence of quantum chaos in finite interacting Fermi systems
- Does Inflationary Particle Production suggest Omega_m < 1?
- Integrability and Quantum Chaos in Spin Glass Shards
- Breit-Wigner width and participation ratio in finite interacting Fermi systems
- Chaotic properties of quantum many-body systems in the thermodynamic limit
- Closed Path Integrals and Renormalisation in Quantum Mechanics
- Quantum Instantons and Quantum Chaos
- Chaos in effective classical and quantum dynamics
Cited by in corpus (11)
- Quantum dynamical correlations: Effective potential analytic continuation approach
- Complexity of Pure and Mixed Qubit Geodesic Paths on Curved Manifolds
- On the Existence of the Quantum Action
- Local softening of information geometric indicators of chaos in statistical modeling in the presence of quantum-like considerations
- Renormalisation in Quantum Mechanics
- Is Quantum Chaos Weaker Than Classical Chaos?
- Comparison of classical chaos with quantum chaos
- Quantum Chaos Versus Classical Chaos: Why is Quantum Chaos Weaker?
- Universality of Level Spacing Distributions in Classical Chaos
- Test of Quantum Action for Inverse Square Potential
- Light Hadron Masses in QCD with Valence Wilson Quarks at beta=6.25 from a Parallel PC Cluster