Speaker
Description
The mechanism behind thermalizing quantum systems remains a much discussed topic up to this day. Recent developments such as the eigenstate thermalization hypothesis (ETH) and random matrix theory helped establish a theoretical model for the relaxation behaviour of closed quantum systems. In this work we are using exact diagonalization to investigate the ETH behaviour of the one-dimensional Kondo-lattice model in the one conduction electron subsector and comparing the results with the predictions of random matrix ensembles such as the Gaussian-orthogonal-ensemble. The Kondo-lattice model represents a quantum system capable of thermalizing its subsystems while remaining sufficiently simple to generate reliable finite-size data. The work includes the analysis of the gap-ratio, the spectral form factor and the scaling behaviour of different observables evaluated in all of the systems’s eigenstates. The analysis showed good agreement with random matrix theory and ETH to be fulfilled. Further work will cover the concrete hierarchy of time scales like the Thouless time and the related transport properties.
| Project | T2 - Eigenstate thermalization in interacting quantum gases in optical lattices |
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