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Driven quantum many-body systems and out-of-equilibrium topology

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).

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Official URL: https://doi.org/10.1088/1361-648X/ac1151


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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