Non-Hermitian dynamics of slowly varying Hamiltonians
We develop a theoretical description of non-Hermitian time evolution that accounts for the breakdown of the adiabatic theorem. We obtain closed-form expressions for the time-dependent state amplitudes, involving the complex eigenenergies as well as interband Berry connections calculated using basis...
| Autores principales: | , , |
|---|---|
| Otros Autores: | |
| Formato: | Journal Article |
| Lenguaje: | English |
| Publicado: |
2018
|
| Materias: | |
| Acceso en línea: | https://hdl.handle.net/10356/88318 http://hdl.handle.net/10220/45661 |
| Sumario: | We develop a theoretical description of non-Hermitian time evolution that accounts for the breakdown of the adiabatic theorem. We obtain closed-form expressions for the time-dependent state amplitudes, involving the complex eigenenergies as well as interband Berry connections calculated using basis sets from appropriately chosen Schur decompositions. Using a two-level system as an example, we show that our theory accurately captures the phenomenon of “sudden transitions,” where the system state abruptly jumps from one eigenstate to another. |
|---|