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Quasiperiodic Floquet-Thouless Energy Pump.

Frederik Nathan1,2, Rongchun Ge3, Snir Gazit4

  • 1Center for Quantum Devices, Niels Bohr Institute, University of Copenhagen, 2100 Copenhagen, Denmark.

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|November 1, 2021
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Summary
This summary is machine-generated.

We discovered a topological phase in disordered fermionic systems driven by two frequencies. This phase enables quantized energy transfer, protected by unique localization mechanisms in quasiperiodic systems.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Dynamics
  • Topological Phases

Background:

  • Disordered fermionic systems are crucial for understanding complex quantum phenomena.
  • Quasiperiodic driving introduces unique behaviors not seen in periodic systems.

Purpose of the Study:

  • Investigate the existence and properties of topological phases in quasiperiodically driven fermionic systems.
  • Identify the mechanisms protecting these topological phases.
  • Explore experimental realizations of such phenomena.

Main Methods:

  • Theoretical study of a disordered one-dimensional fermionic system.
  • Analysis of systems driven by two incommensurate frequencies.
  • Investigation of energy transfer dynamics and localization properties.

Main Results:

  • Identified a novel topological phase characterized by quantized energy transfer between driving modes.
  • Established that disorder-induced spatial and frequency localization protect this phase.
  • Demonstrated a potential analogue in a cavity-qubit system.

Conclusions:

  • Quasiperiodic driving in disordered fermionic systems can host unique topological phases.
  • The discovered phase offers a new platform for studying topological phenomena and quantum energy transfer.
  • Experimental realization in cavity-qubit systems is feasible.