Flow equations for disordered Floquet systems
Steven J. Thomson, Duarte Magano, Marco Schirò
SciPost Phys. 11, 028 (2021) · published 10 August 2021
- doi: 10.21468/SciPostPhys.11.2.028
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Abstract
In this work, we present a new approach to disordered, periodically driven (Floquet) quantum many-body systems based on flow equations. Specifically, we introduce a continuous unitary flow of Floquet operators in an extended Hilbert space, whose fixed point is both diagonal and time-independent, allowing us to directly obtain the Floquet modes. We first apply this method to a periodically driven Anderson insulator, for which it is exact, and then extend it to driven many-body localized systems within a truncated flow equation ansatz. In particular we compute the emergent Floquet local integrals of motion that characterise a periodically driven many-body localized phase. We demonstrate that the method remains well-controlled in the weakly-interacting regime, and allows us to access larger system sizes than accessible by numerically exact methods, paving the way for studies of two-dimensional driven many-body systems.
Cited by 8
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 2 3 Steven J. Thomson,
- 1 4 5 Duarte Magano,
- 1 Marco Schirò
- 1 Collège de France
- 2 L'Institut de physique théorique [IPhT]
- 3 Centre de Physique Théorique / Center of Theoretical Physics [CPHT]
- 4 Universidade de Lisboa / University of Lisbon
- 5 Instituto de Telecomunicações [IT]
- Agence Nationale de la Recherche [ANR]
- Fundação para a Ciência e a Tecnologia (through Organization: Fundação para a Ciência e Tecnologia [FCT])