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Floquet Engineering Topological Many-Body Localized Systems.

K S C Decker1, C Karrasch1, J Eisert2

  • 1Technische Universität Braunschweig, Institut für Mathematische Physik, Mendelssohnstraße 3, 38106 Braunschweig, Germany.

Physical Review Letters
|May 30, 2020
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Summary
This summary is machine-generated.

Second-order Floquet engineering enables many-body localization and topological properties in driven systems. This method dynamically controls topological qubits at high energies, overcoming preparation limitations.

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Area of Science:

  • Quantum Physics
  • Condensed Matter Physics
  • Many-Body Systems

Background:

  • Topological phases of matter are crucial for quantum technologies.
  • Many-body localization (MBL) defies conventional thermodynamics.
  • Dynamically controlling topological states at high energies is challenging.

Purpose of the Study:

  • To realize and control topological properties alongside many-body localization in a driven quantum system.
  • To overcome limitations in preparing topological states as ground states.
  • To explore the interplay between Floquet engineering, MBL, and topology.

Main Methods:

  • Utilizing second-order Floquet engineering to emulate effective three-body interactions from two-body interactions.
  • Implementing a periodically driven, non-equilibrium system.
  • Combining Floquet engineering, topology, and many-body localization.

Main Results:

  • Demonstrated coexistence of many-body localization and topological properties in a driven system.
  • Successfully implemented and controlled a symmetry-protected topologically ordered qubit at high energies.
  • Showcased the emulation of topology and disorder within the effective system.

Conclusions:

  • Floquet engineering offers a powerful route to combine MBL and topological order.
  • This approach allows dynamic control of topological qubits, leveraging advantages from each subfield.
  • The findings provide fundamental insights into quantum matter and technological applications.