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Open Quantum Systems Decoherence
Quantum Simulation
Eigenvectors under a generic perturbation: non-perturbative results from the random matrix approach
arXiv
Authors: Kevin Truong, Alexander Ossipov
Year
2016
Paper ID
43614
Status
Preprint
Abstract Read
~2 min
Abstract Words
76
Citations
N/A
Abstract
We consider eigenvectors of the Hamiltonian H0 perturbed by a generic perturbation V modelled by a random matrix from the Gaussian Unitary Ensemble (GUE). Using the supersymmetry approach we derive analytical results for the statistics of the eigenvectors, which are non-perturbative in V and valid for an arbitrary deterministic H0. Further we generalise them to the case of a random H0, focusing, in particular, on the Rosenzweig-Porter model. Our analytical predictions are confirmed by numerical simulations.
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- We consider eigenvectors of the Hamiltonian H0 perturbed by a generic perturbation V modelled by a random matrix from the Gaussian Unitary Ensemble (GUE).
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