Anderson localization of excitations in disordered Gross-Pitaevskii lattices
| Autor: | Yagmur Kati, Sergej Flach, Mikhail V. Fistul, Alexander Yu. Cherny |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Physics
Anderson localization Field (physics) Statistical Mechanics (cond-mat.stat-mech) Condensed Matter - Superconductivity FOS: Physical sciences Disordered Systems and Neural Networks (cond-mat.dis-nn) Condensed Matter - Disordered Systems and Neural Networks Uncorrelated Superconductivity (cond-mat.supr-con) Lattice (order) Quantum mechanics Limit (mathematics) Zero temperature Ground state Divergence (statistics) Condensed Matter - Statistical Mechanics |
| Popis: | We examine the one-dimensional Gross-Pitaevskii lattice at zero temperature in the presence of uncorrelated disorder. We obtain analytical expressions for the thermodynamic properties of the ground state field and compare them with numerical simulations both in the weak and strong interaction regimes. We analyze weak excitations above the ground state and compute the localization properties of Bogoliubov-de Gennes modes. In the long-wavelength limit, these modes delocalize in accordance with the extended nature of the ground state. For strong interactions, we observe and derive a divergence of their localization length at finite energy due to an effective correlated disorder induced by the weak ground state field fluctuations. We derive effective strong interaction field equations for the excitations and generalize to higher dimensions. |
| Databáze: | OpenAIRE |
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