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Journal Article

Floquet Engineering Topological Many-Body Localized Systems

MPS-Authors
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Kennes,  D. M.
Institut für Theorie der Statistischen Physik, RWTH Aachen University and JARA-Fundamentals of Future Information Technology;
Theory Group, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society;
Center for Free-Electron Laser Science;

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Fulltext (public)

PhysRevLett.124.190601.pdf
(Publisher version), 710KB

Supplementary Material (public)

supplemental_material.pdf
(Supplementary material), 472KB

Citation

Decker, K., Karrasch, C., Eisert, J., & Kennes, D. M. (2020). Floquet Engineering Topological Many-Body Localized Systems. Physical Review Letters, 124(19): 190601. doi:10.1103/PhysRevLett.124.190601.


Cite as: https://hdl.handle.net/21.11116/0000-0006-6E87-7
Abstract
We show how second-order Floquet engineering can be employed to realize systems in which many-body localization coexists with topological properties in a driven system. This allows one to implement and dynamically control a symmetry protected topologically ordered qubit even at high energies, overcoming the roadblock that the respective states cannot be prepared as ground states of nearest-neighbor Hamiltonians. Floquet engineering—the idea that a periodically driven nonequilibrium system can effectively emulate the physics of a different Hamiltonian—is exploited to approximate an effective three-body interaction among spins in one dimension, using time-dependent two-body interactions only. In the effective system, emulated topology and disorder coexist, which provides an intriguing insight into the interplay of many-body localization that defies our standard understanding of thermodynamics and into the topological phases of matter, which are of fundamental and technological importance. We demonstrate explicitly how combining Floquet engineering, topology, and many-body localization allows one to harvest the advantages (time-dependent control, topological protection, and reduction of heating, respectively) of each of these subfields while protecting them from their disadvantages (heating, static control parameters, and strong disorder).