Quantum many-body dynamics

S. A. Rice, J. Chem. Phys. 90, 3063 (1986) S. A. Rice, Perspectives on the control of quantum many body dynamics Application to chemical reactions, Adv. Chem. Phys., 101, (1997). 

PERSPECTIVES ON THE CONTROL OF QUANTUM MANY-BODY DYNAMICS APPLICATION TO CHEMICAL REACTIONS... 

VI. How Much Control of Quantum Many-Body Dynamics Is Attainable ... 

The initial formulation of the theory of control of quantum many-body dynamics has been extended to include the following ... 

CONTROL OF QUANTUM MANY-BODY DYNAMICS 0/iH + = 0,7T for zero change in the ground-state energy + = j7r for zero force... 

Ramakiishna et al. [51] have studied the controllability of quantum many-body dynamics of systems with a finite number of levels from a point of view that is somewhat different from that used by Huang et al. [47]. For... 

Thus far we have examined the determination of a field that will control the quantum many-body dynamics of a system when all that is specified is the initial and final states of the system and the constraints imposed by the equations of motion and physical limitations on the field. When posed in this fashion, the calculation of the control field is an inverse problem that has similarities to the determination of the interaction potential from scattering data. Despite the similarities, the mathematical methods used are very different. Because only the end points of the initial-to-final state transforma-... 

Recent years have seen a flurry of activity in both the theoretical and experimental aspects of control over molecular processes [1] (see also S. A. Rice, Perspectives on the Control of Quantum Many-Body Dynamics Application to Chemical Reactions, this volume). Most of the emphasis has been on the use of optical fields as a means for control, although other approaches can be envisioned in special circumstances [2]. The key underlying principle of the overall subject is the achievement of control through the manipulation of quantum wave interferences [1, 3], although full control will surely not be lost in the incoherent regime. 

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