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Nonlinear dynamics of superposition of wavepackets

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Abstract

We study nonlinear dynamics of superposition of quantum wavepackets in various systems such as Kerr medium, Morse oscillator, and bosonic Josephson junction. The prime reason behind this study is to find out how the superposition of states influences the dynamics of quantum systems. We consider the superposition states, which are potential candidates for quantum computing and quantum communication, so it is most necessary that we study the dynamics for their proper understanding and usage. Methods in nonlinear time-series analysis such as first return time distribution, recurrence plot, and Lyapunov exponent are used for the qualification and quantification of dynamics. We found a profound change in the dynamics of quantum systems when we consider the superposition of wave packets. These changes are observed in various dynamics such as periodic, quasi-periodic, ergodic, and chaotic dynamics.

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Data Availability Statement

This manuscript has no associated data. [Authors’ comment: No data is used to produce any result in the paper. All the figures in the manuscript are produced using the equations derived in the manuscript.]

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Acknowledgements

M. R. acknowledges support by the Institute for Basic Science in Korea (IBS-R024-Y2).

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Author notes

  1. S. Kannan

    Present address: ISRO Inertial Systems Unit, Thiruvananthapuram, 695 013, India

  2. M. Rohith

    Present address: Department of Physics, Government College, Munduparamba P. O., Malappuram, 676 509, India

Authors and Affiliations

  1. Department of Physics, Indian Institute of Space Science and Technology, Thiruvananthapuram, 695 547, India

    S. Kannan & C. Sudheesh

  2. Center for Theoretical Physics of Complex Systems, Institute for Basic Science (IBS), Daejeon, 34126, Republic of Korea

    M. Rohith

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  1. S. Kannan
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Correspondence to C. Sudheesh.

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Kannan, S., Rohith, M. & Sudheesh, C. Nonlinear dynamics of superposition of wavepackets. Eur. Phys. J. Plus 137, 471 (2022). https://doi.org/10.1140/epjp/s13360-022-02673-z

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