Bandyopadhyay, S and Bhattacharjee, S and Sen, D (2021) Driven quantum many-body systems and out-of-equilibrium topology. In: Journal of Physics Condensed Matter, 33 (39).
Full text not available from this repository.Abstract
In this review we present some of the work done in India in the area of driven and out-of-equilibrium systems with topological phases. After presenting some well-known examples of topological systems in one and two dimensions, we discuss the effects of periodic driving in some of them. We discuss the unitary as well as the non-unitary dynamical preparation of topologically non-trivial states in one and two dimensional systems. We then discuss the effects of Majorana end modes on transport through a Kitaev chain and a junction of three Kitaev chains. Following this, transport through the surface states of a three-dimensional topological insulator has also been reviewed. The effects of hybridization between the top and bottom surfaces in such systems and the application of electromagnetic radiation on a strip-like region on the top surface are described. Two unusual topological systems are mentioned briefly, namely, a spin system on a kagome lattice and a Josephson junction of three superconducting wires. We have also included a pedagogical discussion on topology and topological invariants in the appendices, where the connection between topological properties and the intrinsic geometry of many-body quantum states is also elucidated. © 2021 IOP Publishing Ltd.
| Item Type: | Journal Article |
|---|---|
| Publication: | Journal of Physics Condensed Matter |
| Publisher: | IOP Publishing Ltd |
| Additional Information: | The copyright for this article belongs to IOP Publishing Ltd |
| Keywords: | Electromagnetic waves; Quantum theory; Radiation effects; Spin fluctuations; Topological insulators, Intrinsic geometry; Out-of-equilibrium systems; Quantum many-body systems; Topological invariants; Topological phasis; Topological properties; Topological systems; Two-dimensional systems, Topology, article; electromagnetic radiation; geometry |
| Department/Centre: | Division of Physical & Mathematical Sciences > Centre for High Energy Physics |
| Date Deposited: | 21 Sep 2021 09:32 |
| Last Modified: | 21 Sep 2021 09:32 |
| URI: | http://eprints.iisc.ac.in/id/eprint/69775 |
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