| Full text | |
| Author(s): |
Santos, Alan C.
;
Villas-Boas, C. J.
;
Bachelard, R.
Total Authors: 3
|
| Document type: | Journal article |
| Source: | PHYSICAL REVIEW A; v. 103, n. 1, p. 9-pg., 2021-01-11. |
| Abstract | |
We propose a variational principle to compute a quantum adiabatic brachistochrone (QAB) for open systems. Using the notion of "adiabatic speed" based on the energy gaps, we derive a Lagrangian associated to the functional measuring the time spent to achieve adiabatic behavior, which in turn allows us to perform the optimization. The QAB is illustrated for the nonunitary dynamics of a stimulated Raman adiabatic passage process, the Deutsch-Jozsa quantum computing algorithm, and of a transmon qutrit. A numerical protocol is devised, which allows one to compute the QAB for arbitrary quantum systems for which exact simulations can be afforded. We also establish sufficient conditions for the equivalence between the Lagrangians, and thus the QAB, of open and closed systems. (AU) | |
| FAPESP's process: | 19/11999-5 - Collective effects on atomic systems, nuclear spins and cavity quantum electrodynamics |
| Grantee: | Celso Jorge Villas-Bôas |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 19/22685-1 - Memory effect and the transition from weak to strong disorder |
| Grantee: | Alan Costa dos Santos |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 18/15554-5 - Transport and localization of light in two and three dimensions |
| Grantee: | Romain Pierre Marcel Bachelard |
| Support Opportunities: | Research Grants - Young Investigators Grants - Phase 2 |