We review recent developments in the research of nonlinear and nonequilibrium
phenomena in solids focusing on their geometrical aspects. We start with introducing the …

A bicircular light (BCL) consists of left and right circularly polarized lights with different
frequencies, and draws a roselike pattern with a rotational symmetry determined by the ratio …

The period-doubling oscillation emerges due to the coexistence of zero and π modes in
Floquet topological insulators (FTIs). Here, leveraging the flexibility of the electric circuit, we …

This study introduces a novel theoretical framework for detecting and decoding wireless
communication signals in the nanoscale range operating at terahertz (THz) frequencies …

Quasiperiodic systems in one dimension can host nonergodic states, eg, states localized in
position or momentum. Periodic quenches within localized phases yield Floquet eigenstates …

Recent studies have attracted widespread attention on magnet-superconductor hybrid
systems with emergent topological superconductivity. Here, we present the Floquet …

Heating effects in Floquet-engineered systems are detrimental to the control of physical
properties. In this paper, we show that the heating of periodically driven strongly correlated …

Periodically driven systems provide a novel route to control the topology of quantum
materials. In particular, Floquet theory allows an effective band description of periodically …

Driven-dissipative physics lie at the core of quantum optics. However, the full interplay
between a driven quantum many-body system and its environment remains relatively …

We present a systematic framework to construct model Hamiltonians that have
unconventional superconducting pairing states as exact energy eigenstates, by …