High-frequency approximation for periodically driven quantum systems from a Floquet-space perspective

• Published in: New journal of physics Vol. 17; no. 9; pp. 93039 - 93073
• Main Authors: Eckardt, André, Anisimovas, Egidijus
• Format: Journal Article
• Language: English
• Published: Bristol IOP Publishing 23.09.2015
• Subjects: Approximation; Blocking; Broken symmetry; Equivalence; Floquet theory; Hilbert space; Mathematical analysis; Operators; Perturbation theory; Physics; quantum engineering; Quantum theory; System effectiveness; ultracold quantum gases

We derive a systematic high-frequency expansion for the effective Hamiltonian and the micromotion operator of periodically driven quantum systems. Our approach is based on the block diagonalization of the quasienergy operator in the extended Floquet Hilbert space by means of degenerate perturbation...