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Condensed Matter > Quantum Gases

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

Abstract: 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 theory. The final results are equivalent to those obtained within a different approach [Phys.\ Rev.\ A {\bf 68}, 013820 (2003), Phys.\ Rev.\ X {\bf 4}, 031027 (2014)] and can also be related to the Floquet-Magnus expansion [J.\ Phys.\ A {\bf 34}, 3379 (2000)]. We discuss that the dependence on the driving phase, which plagues the latter, can lead to artifactual symmetry breaking. The high-frequency approach is illustrated using the example of a periodically driven Hubbard model. Moreover, we discuss the nature of the approximation and its limitations for systems of many interacting particles.
Comments: 48 pages, 7 figures
Subjects: Quantum Gases (cond-mat.quant-gas); Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Quantum Physics (quant-ph)
Journal reference: New. J. Phys. 17, 093039 (2015)
DOI: 10.1088/1367-2630/17/9/093039
Cite as: arXiv:1502.06477 [cond-mat.quant-gas]
  (or arXiv:1502.06477v4 [cond-mat.quant-gas] for this version)

Submission history

From: Andre Eckardt [view email]
[v1] Mon, 23 Feb 2015 15:58:18 UTC (518 KB)
[v2] Tue, 24 Feb 2015 14:53:57 UTC (518 KB)
[v3] Wed, 25 Feb 2015 09:14:58 UTC (518 KB)
[v4] Mon, 15 Jun 2015 16:32:10 UTC (631 KB)