On the Existence of the Dynamics for Anharmonic Quantum Oscillator Systems

Abstract

We construct a W^*-dynamical system describing the dynamics of a class of anharmonic quantum oscillator lattice systems in the thermodynamic limit. Our approach is based on recently proved Lieb-Robinson bounds for such systems on finite lattices.

References in corpus (7)

• Lieb-Robinson Bounds and the Exponential Clustering Theorem
• Propagation of Correlations in Quantum Lattice Systems
• Lieb-Robinson Bounds for Harmonic and Anharmonic Lattice Systems
• Locality of dynamics in general harmonic quantum systems
• On the propagation of a perturbation in an anharmonic system
• Lieb-Robinson bounds for classical anharmonic lattice systems
• Dynamics and Lieb-Robinson estimates for lattices of interacting anharmonic oscillators

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