Hannover 2016 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 15: Quantum Effects: Disorder

Q 15.2: Talk

Monday, February 29, 2016, 17:15–17:30, f442

Many-Body Localization and Discrete Spectrum Imply Simple Dynamics — •Deniz Stiegemann¹, Pieter Naaijkens², and Tobias Osborne¹ — ¹Institut für Theoretische Physik, Leibniz Universität Hannover, Germany — ²Department of Mathematics, University of California, Davis, USA

In a quantum spin lattice, the time-evolution is usually generated by a local Hamiltonian, e.g. consisting of nearest-neighbour interactions. We prove that if a system exhibits strong dynamical localization and has a discrete and non-degenerate spectrum, then the local Hamiltonian can be replaced with a modified Hamiltonian which consists of pairwise commuting terms. This modified Hamiltonian still generates the same dynamics as the original local Hamiltonian, and there is a trade-off between the smallest gap in the spectrum and the degree of locality of the modified Hamiltonian. We discuss the result for both finite and infinite systems.