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Floquet Symmetry-Protected Topological Phases in Cold-Atom Systems
I-D Potirniche1, A C Potter2, M Schleier-Smith3
1Department of Physics, University of California, Berkeley, California 94720, USA.
Physical Review Letters
|January 18, 2018
Summary
We explore two methods for creating symmetry-protected topological (SPT) phases using periodic driving. Disorder enables stable quantum dynamics, and we identify unique signatures for Floquet SPT phases in Rydberg-atom systems.
Area of Science:
- Quantum physics
- Condensed matter physics
- Topological phases of matter
Background:
- Symmetry-protected topological (SPT) phases are exotic states of matter characterized by symmetries.
- Periodic driving (Floquet engineering) offers a route to realize novel quantum phases.
- Understanding and controlling SPT phases is crucial for quantum information and materials science.
Purpose of the Study:
- To propose and analyze two distinct methods for realizing interacting SPT phases using periodic driving.
- To investigate the role of disorder in stabilizing these phases and enabling coherent quantum dynamics.
- To distinguish between equilibrium and Floquet SPT phases and propose an experimental implementation.
Main Methods:
- Engineering an equilibrium SPT phase using a driven transverse-field Ising model.
- Realizing an intrinsically Floquet SPT phase without an equilibrium analog.
- Utilizing disorder-induced many-body localization to prevent heating and observe coherent dynamics.
- Identifying a unique entanglement spectrum signature based on micromotion for Floquet SPT phases.
Main Results:
- Demonstrated emulation of an equilibrium SPT phase in a driven Ising model, stable within a specific time scale.
- Showcased the realization of an intrinsically Floquet SPT phase with no equilibrium counterpart.
- Confirmed that disorder and many-body localization prevent runaway heating, allowing high-energy-density quantum dynamics.
- Identified a distinct micromotion-based entanglement spectrum signature for Floquet SPT phases.
Conclusions:
- Two viable routes for realizing interacting SPT phases via periodic driving have been proposed and analyzed.
- Disorder plays a crucial role in stabilizing these topological phases and enabling observable quantum dynamics.
- A unifying experimental implementation using Rydberg-dressed atoms is proposed, with observable protected edge modes on realistic time scales.
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