Analytic approaches to periodically driven closed quantum systems: methods and applications

A Sen, D Sen, K Sengupta - Journal of Physics: Condensed …, 2021 - iopscience.iop.org
We present a brief overview of some of the analytic perturbative techniques for the
computation of the Floquet Hamiltonian for a periodically driven, or Floquet, quantum many …

Ultracold bosons with short-range interaction in regular optical lattices

KV Krutitsky - Physics Reports, 2016 - Elsevier
During the last decade, many exciting phenomena have been experimentally observed and
theoretically predicted for ultracold atoms in optical lattices. This paper reviews these rapid …

Floquet–Magnus theory and generic transient dynamics in periodically driven many-body quantum systems

T Kuwahara, T Mori, K Saito - Annals of Physics, 2016 - Elsevier
This work explores a fundamental dynamical structure for a wide range of many-body
quantum systems under periodic driving. Generically, in the thermodynamic limit, such …

Probing topological signatures in an optically driven lattice

L Tamang, T Biswas - Physical Review B, 2023 - APS
The α-T 3 lattice, an interpolation model between the honeycomb lattice of graphene (α= 0)
and the dice lattice (α= 1), undergoes a topological phase transition across α= 1/2 when …

Systematic generation of the cascade of anomalous dynamical first-and higher-order modes in Floquet topological insulators

AK Ghosh, T Nag, A Saha - Physical Review B, 2022 - APS
After extensive investigation of the Floquet second-order topological insulator (FSOTI) in two
dimensions, here we propose two driving schemes to systematically engineer the hierarchy …

Engineering Floquet dynamical quantum phase transitions

J Naji, R Jafari, L Zhou, A Langari - Physical Review B, 2022 - APS
Floquet dynamical quantum phase transitions (FDQPTs) are signified by recurrent
nonanalytic behaviors of observables in time. In this work, we introduce a quench-free and …

Dynamical construction of quadrupolar and octupolar topological superconductors

AK Ghosh, T Nag, A Saha - Physical Review B, 2022 - APS
We propose a three-step periodic drive protocol to engineer two-dimensional (2D) Floquet
quadrupole superconductors and three-dimensional (3D) Floquet octupole superconductors …

Out-of-Time-Order correlators in driven conformal field theories

S Das, B Ezhuthachan, A Kundu, S Porey… - Journal of High Energy …, 2022 - Springer
A bstract We compute Out-of-Time-Order correlators (OTOCs) for conformal field theories
(CFTs) subjected to either continuous or discrete periodic drive protocols. This is achieved …

Floquet second order topological superconductor based on unconventional pairing

AK Ghosh, T Nag, A Saha - Physical Review B, 2021 - APS
We theoretically investigate the Floquet generation of second-order topological
superconducting (SOTSC) phase in the high-temperature platform both in two dimension …

Scaling laws of the out-of-time-order correlators at the transition to the spontaneous -symmetry breaking in a Floquet system

WL Zhao, RR Wang, H Ke, J Liu - Physical Review A, 2023 - APS
We investigate both numerically and analytically the dynamics of out-of-time-order
correlators (OTOCs) in a non-Hermitian kicked rotor model, addressing the scaling laws of …