| Grant number: | 19/00184-0 |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| Start date: | April 01, 2019 |
| End date: | March 31, 2022 |
| Field of knowledge: | Physical Sciences and Mathematics - Physics - General Physics |
| Principal Investigator: | Miled Hassan Youssef Moussa |
| Grantee: | Gabriel Marinello de Souza Santos |
| Host Institution: | Instituto de Física de São Carlos (IFSC). Universidade de São Paulo (USP). São Carlos , SP, Brazil |
Abstract The Fermi-Pasta-Ulam (FPU) problem demonstrates how non-linear problems display characteristics of notable interest to physics. In this project, we propose to treat the interface between the Fermi-Pasta-Ulam problem, in its quantum version, and pseudo-Hermitian Hamiltonians.We must begin by treating the PT-symmetric FPU problem, in which the FPU linear chain oscillators themselves and their interactions are described by PT-symmetric Hamiltonians. Next, we must consider what can be called the inverse FPU problem, in which, instead of the original situation in which a single pseudonormal mode of the FPU chain is initially excited, we must start from the multimodal vacuum in order to investigate the possibility of concentration of zero-point energy. The literature suggests that, via nonlinear effects, it is possible to create a rogue wave which comprises a single pseudonormal mode or a small set of them. This mechanism points to the possibility of extraction and manipulation of vacuum energy. Finally, we intend to generalize the conventional treatment of open quantum systems considering non-linear corrections, of the PFU type, in the system-reservoir coupling. | |
| News published in Agência FAPESP Newsletter about the scholarship: | |
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