Abstract
We consider a representative quantum system, namely a tight-binding chain, in which an electron can tunnel to nearest-neighbour sites with equal probability. When an AC drive is applied, a fascinating phenomenon called ‘dynamic localisation occurs – the electron keeps coming back to its starting site for specific values of amplitude and frequency of the drive. While this is a zero-temperature coherent effect, we enquire whether the oscillatory field has its influence on finite temperature, incoherent, Drude-like transport and quantum diffusive motion. Our treatment of dissipative dynamics is based on the adaptation of the well-known spin-boson model under Ohmic dissipation.
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Acknowledgements
The author would like to thank the Indian National Science Academy for its support through their Senior Scientist scheme. He is also grateful to Shamik Gupta for a critical reading of the manuscript and for help with numerical computations.
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Dattagupta, S. Imprint of dynamic localisation in frequency-dependent conductivity in a paradigmatic quantum system. Pramana - J Phys 96, 181 (2022). https://doi.org/10.1007/s12043-022-02429-5
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DOI: https://doi.org/10.1007/s12043-022-02429-5