The science of creating entirely new material properties by subjecting quantum systems to periodic forces — lasers, microwaves, and electromagnetic fields.
Target a quantum system with precisely tuned lasers, microwaves, or electromagnetic pulses at specific frequencies.
The periodic driving creates new quasi-energy states — Floquet states — that have no equilibrium analog. The system enters a fundamentally new regime.
The Floquet-engineered system exhibits properties impossible in equilibrium: topological phases, engineered band structures, and enhanced quantum coherence.
Heat engines, computing systems, and materials that operate beyond the fundamental limits of classical physics — including the Carnot efficiency limit.
Carnot's theorem (1824) proves that no heat engine operating between two thermal reservoirs can exceed η = 1 − Tc/Th. This has been the absolute law of thermodynamics for 200 years.
The key word is "thermal." Carnot's proof assumes both reservoirs are in thermal equilibrium — described by a simple temperature.
Quantum mechanics allows us to engineer non-thermal reservoirs — squeezed states where energy fluctuations are distributed asymmetrically. These states cannot be described by a single temperature.
Since Carnot's proof requires thermal reservoirs, and our reservoirs aren't thermal — the Carnot limit simply doesn't apply. This isn't violating physics. It's using better physics.
French mathematician Gaston Floquet establishes the theory of periodic differential equations — the mathematical foundation for everything that follows.
Jon Shirley extends Floquet's mathematics to quantum mechanics, enabling analysis of atoms and molecules driven by periodic electromagnetic fields.
Researchers demonstrate that periodic driving can induce topological phases of matter — states with exotic properties protected by the system's mathematical structure.
Google's quantum computing division publishes breakthrough results on Floquet codes — a new approach to quantum error correction using periodic operations.
A landmark experiment demonstrates beyond-Carnot energy conversion from non-thermal quantum states — proving that the 200-year limit can be exceeded in practice.