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Localization of quantum states at the cyclotron resonance
Institution:1. COMSATS University Islamabad, Wah Campus, G. T. Road, Wah Cantt., 47040, Pakistan;2. Department of Computer Science, Fatima Jinnah Women University, Rawalpindi, Pakistan;3. Department of Mathematics, University of Wah, Wah Cantt, Pakistan;4. Faculty of Engineering Sciences, Ghulam Ishaq Khan Institute of Engineering Sciences and Technology, Topi, 23460, Swabi, Khyber Pakhtunkhwa, Pakistan;1. Oak Ridge National Laboratory, Oak Ridge, TN, 37831, USA;1. University of Tennessee, Knoxville, TN, 37996, USA;1. School of Aeronautic Science and Engineering, Beihang University, Beijing, PR China;2. Department of Mechanical Engineering, Shahid Chamran University of Ahvaz, Iran;3. Young Researchers and Elite Club, Yasooj Branch, Islamic Azad University, Yasooj, Iran;4. Department of Mathematics, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania;5. School of Chemical and Process Engineering, University of Leeds, Leeds, UK
Abstract:Tunneling of a quantum particle to the classically inaccessible region in an intrinsically degenerate system is investigated here by means of quasienergy eignestates. The exact resonance (δω=ωω0=0) and near resonance (δω ≠ 0) cases are explored numerically. It is shown that in both cases all quantum states are localized. Correspondence of the quantum dynamical barriers to the classical invariant curves is demonstrated. The phenomena considered can be observed when an ultrasound wave propagates perpendicularly to a magnetic field and interacts with a 2D electron gas in a semiconductor heterostructure.
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