IIIT Hyderabad Publications |
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Optimally Controlled Vibrational Population Transfer in a Diatomic Quantum SystemAuthors: Praveen Kumar,Sitansh Sharma,Harjinder Singh Journal: Journal of Theoretical and Computational Chemistry Date: 2008-06-10 Report no: IIIT/TR/2008/46 AbstractA time-dependent formulation of quantum control is employed to investigate the controllability in a diatomic system. The problem of finding the optimal laser field needed to achieve a specific quantum transition from an initial state to the desired target goal is formulated using an iterative method and the conjugate gradient method. The time dependent Schr{0}dinger equation is solved with interaction of laser radiation with matter included within a dipole approximation in the Hamiltonian. Appropriate boundary conditions are chosen for the evolution problem. The control objective is chosen as the value of transition probability from an initial state to a target state. A comparison is made between the results obtained using the iterative method and the conjugate gradient method for optimization. Finally, quantum bits are encoded using the vibrational states of the diatomic in the regime of low vibrational excitation. Centre for Computational Natural Sciences and Bioinformatics |
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