title: Thermalization of field driven quantum systems.
abstract: There is much interest in how quantum systems thermalize after a sudden change, because unitary evolution should preclude thermalization. The eigenstate thermalization hypothesis resolves this because all observables for quantum states in a small energy window have essentially the same value; it is violated for integrable systems due to the infinite number of conserved quantities. Here, we show that when a system is driven by a DC electric field there are five generic behaviors: (i) monotonic or (ii) oscillatory approach to an infinite-temperature steady state; (iii) monotonic or (iv) oscillatory approach to a nonthermal steady state; or (v) evolution to an oscillatory state. Examining the Hubbard model (which thermalizes under a quench) and the Falicov-Kimball model (which does not), we find both exhibit scenarios (i-iv), while only Hubbard shows scenario (v). This shows richer behavior than in interaction quenches and integrability in the absence of a field plays no role.
authors.affiliation: Department of Physics, Georgetown University, 37th and O Sts. NW, Washington, DC 20057 USA.
authors.forename: H
authors.initials: H
authors.lastname: Fotso
authors.affiliation: Department of Physics, Georgetown University, 37th and O Sts. NW, Washington, DC 20057 USA.
authors.forename: K
authors.initials: K
authors.lastname: Mikelsons
authors.affiliation: Department of Physics, Georgetown University, 37th and O Sts. NW, Washington, DC 20057 USA.
authors.forename: J K
authors.initials: JK
authors.lastname: Freericks
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