TY - JOUR
T1 - Hamiltonian reduction of quantum systems controlled by pulses
AU - Xu, Qiang
AU - Wang, Yao Xiong
AU - Shuang, Feng
AU - Rabitz, Herschel Albert
PY - 2011/8/1
Y1 - 2011/8/1
N2 - We explores Hamiltonian reduction in pulse-controlled finite-dimensional quantum systems with near-degenerate eigenstates. A quantum system with a non-degenerate ground state and several near-degenerate excited states is controlled by a short pulse, and the objective is to maximize the collective population on all excited states when we treat all of them as one level. Two cases of the systems are shown to be equivalent to effective two-level systems. When the pulse is weak, simple relations between the original systems and the reduced systems are obtained. When the pulse is strong, these relations are still available for pulses with only one frequency under the first-order approximation.
AB - We explores Hamiltonian reduction in pulse-controlled finite-dimensional quantum systems with near-degenerate eigenstates. A quantum system with a non-degenerate ground state and several near-degenerate excited states is controlled by a short pulse, and the objective is to maximize the collective population on all excited states when we treat all of them as one level. Two cases of the systems are shown to be equivalent to effective two-level systems. When the pulse is weak, simple relations between the original systems and the reduced systems are obtained. When the pulse is strong, these relations are still available for pulses with only one frequency under the first-order approximation.
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U2 - 10.1088/1674-0068/24/04/378-382
DO - 10.1088/1674-0068/24/04/378-382
M3 - Article
AN - SCOPUS:80053252092
SN - 1674-0068
VL - 24
SP - 378
EP - 382
JO - Chinese Journal of Chemical Physics
JF - Chinese Journal of Chemical Physics
IS - 4
ER -