@article{WOS:000675612600001, 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.}, article-number = {393001}, author = {Bandyopadhyay, Souvik and Bhattacharjee, Sourav and Sen, Diptiman}, doi = {10.1088/1361-648X/ac1151}, eissn = {1361-648X}, issn = {0953-8984}, journal = {JOURNAL OF PHYSICS-CONDENSED MATTER}, month = {SEP 29}, number = {39}, orcid-numbers = {Bandyopadhyay, Souvik/0000-0002-4669-5536 Bhattacharjee, Sourav/0000-0003-3798-6400}, title = {Driven quantum many-body systems and out-of-equilibrium topology}, unique-id = {WOS:000675612600001}, volume = {33}, year = {2021} }