| Автор | Allahverdyan, A. E. |
| Автор | Mahler, G. |
| Дата выпуска | 2008-11-01 |
| dc.description | We study quantum adiabatic dynamics, where the slowly moving field is influenced by the system's state (feedback). The feedback is achieved either via mean-field quantum-classical interaction, or, alternatively, via non-disturbing measurements done on an ensemble of identical non-interacting systems. The situation without feedback is governed by the adiabatic theorem: adiabatic energy level populations stay constant, while the adiabatic eigenvectors get a specific phase contribution (Berry phase). However, under feedback the adiabatic theorem does not hold: the adiabatic populations satisfy a closed equation of motion that coincides with the replicator dynamics known by its numerous applications in evolutionary game theory. The feedback generates a new gauge-invariant adiabatic phase, which is free of the constraints on the Berry phase (e.g., the new phase is non-zero even for real adiabatic eigenfunctions). In a particular case the adiabatic theorem can still hold, but the new phases are non-trivial. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Копирайт | Europhysics Letters Association |
| Название | Employing feedback in adiabatic quantum dynamics |
| Тип | lett |
| DOI | 10.1209/0295-5075/84/40007 |
| Electronic ISSN | 1286-4854 |
| Print ISSN | 0295-5075 |
| Журнал | EPL (Europhysics Letters) |
| Том | 84 |
| Первая страница | 40007 |
| Последняя страница | 40012 |
| Аффилиация | Allahverdyan, A. E.; Yerevan Physics Institute - Alikhanian Brothers Street 2, Yerevan 375036, Armenia |
| Аффилиация | Mahler, G.; Institute of Theoretical Physics I, University of Stuttgart - Pfaffenwaldring 57, 70550 Stuttgart, Germany, EU |
| Выпуск | 4 |
