TY - JOUR
T1 - Exploring the transition-probability-control landscape of open quantum systems
T2 - Application to a two-level case
AU - Yang, Fei
AU - Cong, Shuang
AU - Long, Ruixing
AU - Ho, Tak San
AU - Wu, Rebing
AU - Rabitz, Herschel
N1 - Copyright:
Copyright 2013 Elsevier B.V., All rights reserved.
PY - 2013/9/23
Y1 - 2013/9/23
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevA.88.033420
DO - 10.1103/PhysRevA.88.033420
M3 - Article
AN - SCOPUS:84884872585
SN - 1050-2947
VL - 88
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 3
M1 - 033420
ER -