Definition of Floquet Fermi liquid state

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Floquet Fermi liquid state: The Floquet Fermi liquid state refers to a concept in condensed matter physics that arises when a system is subjected to periodic driving or modulation, typically by an external periodic field such as a laser or an electromagnetic wave.

In a Floquet Fermi liquid state, the periodic driving induces time-dependent changes in the system's Hamiltonian (the operator representing its total energy), causing the system's properties to periodically oscillate in time. Despite these time-dependent perturbations, under certain conditions, the system can exhibit behavior akin to a Fermi liquid state, where:

Quasiparticles near the Fermi surface remain well-defined and obey Fermi-Dirac statistics, and the system displays robust transport properties resembling those of a conventional Fermi liquid, such as well-defined electrical conductivity and thermal conductivity.

Floquet Fermi liquid states are of particular interest because they offer insights into how strongly correlated quantum systems respond to external periodic driving, potentially leading to novel phases of matter and applications in quantum information processing and device engineering.

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