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EnglishIn the present thesis we study the unitary dynamics and the thermalization properties of free-fermion-like Hamiltonians after a sudden quantum quench in presence of disorder. With analytical and numerical arguments, we show that the existence of a stationary state and its description with a generalized Gibbs ensemble (GGE) depend crucially on the observable considered (local versus extensive, one-body versus many-body) and on the localization properties of the final Hamiltonian. We then show an extension of the Wang-Landau algorithm which allows the computation of weighted distributions associated to quantum quenches, like the diagonal and the GGE ensemble expectation-value distributions. We present results on three one-dimensional models, the Anderson model, a disordered one-dimensional fermionic chain with long-range hopping, and the disordered Ising/XY spin chain.
Thermalization and relaxation after a quantum quench in disordered Hamiltonians / Ziraldo, Simone. - (2013 Nov 18).
| Autori: | |
| Autori: | Ziraldo, Simone |
| Titolo: | Thermalization and relaxation after a quantum quench in disordered Hamiltonians |
| Relatore/i interni: | |
| Data di pubblicazione: | 18-nov-2013 |
| Appare nelle tipologie: | 8.1 PhD thesis |
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| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| 1963_7213_main.pdf | Tesi | Non specificato | Open Access Visualizza/Apri |
