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Quantum mechanics of rapidly and periodically driven systems
Authors:Malay Bandyopadhyay  Sushanta Dattagupta
Affiliation:(1) JD Block, Sector III, S.N. Bose National Centre for Basic Sciences, Salt Lake, Kolkata, 700 098, India;(2) HC-VII, Indian Institute of Science Education & Research, Salt Lake, Kolkata, 700 106, India;(3) Jawaharlal Nehru Centre for Advanced Scientific Research, Bangalore, 560 064, India
Abstract:This review deals with the dynamics of quantum systems that are subject to high frequency external perturbations. Though the problem may look hopelessly time-dependent, and poised on the extreme opposite side of adiabaticity, there exists a ‘Kapitza Window’ over which the dynamics can be treated in terms of effective time-independent Hamiltonians. The consequent results are important in the context of atomic traps as well as quantum optic properties of atoms in intense and high-frequency electromagnetic fields.
Keywords:Rapid forcing  Kapitza pendulum  effective Hamiltonian  quadrupole and Paul traps  strong-field excitations
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