Abstract
This paper explores the state-to-state transition-probability-control landscape for n-level open quantum systems governed by the Lindblad equation. For generic two-level systems, we show analytically that the control landscape does not possess critical points in the space of square-integrable control fields. Numerical simulations show that for a given target state the transition probability reaches its highest value at a particular finite time, and the corresponding control contains temporal subpulses, similar to that for the time optimal control of analogous closed quantum systems with unbounded controls.
Original language | English (US) |
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Article number | 033420 |
Journal | Physical Review A - Atomic, Molecular, and Optical Physics |
Volume | 88 |
Issue number | 3 |
DOIs | |
State | Published - Sep 23 2013 |
All Science Journal Classification (ASJC) codes
- Atomic and Molecular Physics, and Optics