Extreme value statistics of Schmidt eigenvalues reveal deviations from Wishart behavior in ergodic eigenstates of ultrametric random matrices and the Quantum Sun model.
Many-Body Mobility Edge in Quantum Sun models
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abstract
The quantum sun model is an interacting model that exhibits sharp signatures of ergodicity breaking phase transition. Here, we show that the model exhibits a many-body mobility edge. We provide analytical arguments for its existence, complemented by the state-of-the-art numerical simulations analysing gap ratios, Thouless times as well as entanglement entropy of eigenstates. We also introduce the quantum sun model with particle number conservation, and we argue that it shares many similarities with his unrestricted predecessor.
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How Random Are Ergodic Eigenstates of the Ultrametric Random Matrices and the Quantum Sun Model?
Extreme value statistics of Schmidt eigenvalues reveal deviations from Wishart behavior in ergodic eigenstates of ultrametric random matrices and the Quantum Sun model.