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Collective Excitation of Bosonic Quantum Hall State

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Abstract

The recent developments in the theory of rapidly rotating Bose atoms have been reviewed in this article. Rotation leads to the development of quantized vortices that cluster into a vortex array, exactly to how superfluid helium behaves. Theoretically, a number of strongly correlated phases are projected to exist in this domain, which might be thought of as bosonic counterparts of fractional quantum Hall effect (FQHE). It is now possible for bosons associating with a short-range interaction to exhibit a FQHE, because the system of neutral bosons in a fast-rotating atomic trap is analogous to charged bosons placed in a fictitious magnetic field. The neutral collective spin-conserving and spin-flip excitation for the rotating ultra-cold dilute Bose atoms in the FQHE domain are being discussed. We have introduced a realistic interaction between the Bose particles together with long-range interaction and presented a short review article about various fractional quantum Hall states and their spin-conserving and spin-reversed collective modes.

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Acknowledgements

One of the authors, Moumita wants to thank the institute postdoctoral fellowship grant (IIT Bombay) for her financial help.

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  1. Department of Electrical Engineering, Indian Institute of Technology Bombay, Mumbai, 400076, India

    Moumita Indra & Sandip Mondal

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Indra, M., Mondal, S. Collective Excitation of Bosonic Quantum Hall State. J Low Temp Phys 214, 294–313 (2024). https://doi.org/10.1007/s10909-023-03023-8

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