Universität zu Köln

Genske, Maximilian and Rosch, Achim ORCID: 0000-0002-6586-5721 (2015). Floquet-Boltzmann equation for periodically driven Fermi systems. Phys. Rev. A, 92 (6). COLLEGE PK: AMER PHYSICAL SOC. ISSN 1094-1622

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Abstract

Periodically driven quantum systems can be used to realize quantum pumps, ratchets, artificial gauge fields, and novel topological states of matter. Starting from the Keldysh approach, we develop a formalism, the Floquet-Boltzmann equation, to describe the dynamics and the scattering of quasiparticles in such systems. The theory builds on a separation of time scales. Rapid, periodic oscillations occurring on a time scale T-0 = 2 pi/Omega are treated using the Floquet formalism and quasiparticles are defined as eigenstates of a noninteracting Floquet Hamiltonian. The dynamics on much longer time scales, however, is modeled by a Boltzmann equation which describes the semiclassical dynamics of the Floquet quasiparticles and their scattering processes. As the energy is conserved only modulo (h) over bar Omega, the interacting system heats up in the long-time limit. As a first application of this approach, we compute the heating rate for a cold-atom system, where a periodical shaking of the lattice was used to realize the Haldane model [G. Jotzu et al., Nature (London) 515, 237 (2014)].

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Genske, Maximilian UNSPECIFIED UNSPECIFIED UNSPECIFIED Rosch, Achim UNSPECIFIED orcid.org/0000-0002-6586-5721 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-383882
DOI:	10.1103/PhysRevA.92.062108
Journal or Publication Title:	Phys. Rev. A
Volume:	92
Number:	6
Date:	2015
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	1094-1622
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language TOPOLOGICAL INSULATOR; QUANTUM; REALIZATION; TRANSPORT; STATES; ATOMS; MODEL Multiple languages Optics; Physics, Atomic, Molecular & Chemical Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/38388