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Quantum dynamics of a parity-time-symmetric kicked particle in a 1D box

Jambul YusupovTurin Polytechnic University in Tashkent, 17 Niyazov Str., 100095, Tashkent, UzbekistanS RakhmanovNational University of Uzbekistan, Vuzgorodok, Tashkent 100174, UzbekistanD. U. MatrasulovTurin Polytechnic University in Tashkent, 17 Niyazov Str., 100095, Tashkent, UzbekistanH SusantoDepartment of Mathematical Sciences, University of Essex, Wivenhoe Park, Colchester CO4 3SQ, United Kingdom
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Аннотация

Abstract We study quantum particle dynamics in a box and driven by a parity-time (PT)-symmetric, delta-kicking complex potential. The dynamical characteristics, identified by the average kinetic energy as a function of time, and quasi-energy are computed for different values of the kicking parameters. Breaking of the PT-symmetry at certain values of the non-Hermitian kicking parameter is shown. Experimental realization of the model is also discussed.

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