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Floquet Second-Order Topological Phases in Momentum Space
1Department of Physics, College of Information Science and Engineering, Ocean University of China, Qingdao 266100, China.
This study reveals momentum-space higher-order topological phases (HOTPs) in driven quantum systems. These Floquet HOTPs feature novel corner modes and topological invariants measurable via chiral dynamics.
Area of Science:
- Condensed Matter Physics
- Quantum Mechanics
- Topological Matter
Background:
- Higher-order topological phases (HOTPs) exhibit symmetry-protected boundary states.
- Existing HOTPs are primarily studied in real-space lattices.
Purpose of the Study:
- To investigate a momentum-space manifestation of higher-order topological phases.
- To explore Floquet topological phases in driven quantum systems.
- To characterize novel topological invariants and bound states in the continuum.
Main Methods:
- Utilizing a two-dimensional quantum double-kicked rotor model.
- Analyzing time-periodic driving (Floquet engineering).
- Investigating chiral symmetry protection and topological invariants.
Main Results:
- Demonstrated Floquet higher-order topological phases (HOTPs) in momentum space.
- Identified topological invariants with arbitrarily large integer values.
- Observed Floquet corner modes and topological bound states in the continuum.
- Confirmed bulk-corner correspondence for the number of corner modes.
Conclusions:
- Extended the concept of HOTPs to momentum-space lattices.
- Uncovered rich phenomena of HOTPs and corner-localized states in Floquet systems.
- Proposed measurable topological invariants from chiral wave packet dynamics.
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