Generalized energy and time-translation invariance in a driven dissipative system
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Iadecola-2013-Generalized energy and time-translation.pdf
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Author(s)
Iadecola, Thomas
Chamon, Claudio
Jackiw, Roman
Pi, So-Young
Date Issued
September 2013
Journal
Physical Review B
Publisher
American Physical Society
Citation
Iadecola, Thomas, Claudio Chamon, Roman Jackiw, and So-Young Pi. “Generalized Energy and Time-Translation Invariance in a Driven Dissipative System.” Phys. Rev. B 88, no. 10 (September 2013). ©2013 American Physical Society.
Version
Final published version
Abstract
Driven condensed matter systems consistently pose substantial challenges to theoretical understanding. Progress in the study of such systems has been achieved using the Floquet formalism, but certain aspects of this approach are not well understood. In this paper, we consider the exceptionally simple case of the rotating Kekulé mass in graphene through the lens of Floquet theory. We show that the fact that this problem is gauge-equivalent to a time-independent problem implies that the “quasienergies” of Floquet theory correspond to a continuous symmetry of the full time-dependent Lagrangian. We use the conserved Noether charge associated with this symmetry to recover notions of equilibrium statistical mechanics.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevB.88.104302
