Phase Space Crystal Vibrations: Chiral Edge States with Preserved Time-reversal Symmetry
arXiv:2105.06989 · doi:10.1103/PhysRevB.105.094301
Abstract
It was recently discovered that atoms subject to a time-periodic drive can give rise to a crystal structure in phase space. In this work, we point out the atom-atom interactions give rise to collective phonon excitations of phase-space crystal via a pairing interaction with intrinsically complex phases that can lead to a phonon Chern insulator, accompanied by topologically robust chiral transport along the edge of the phase-space crystal. This topological phase is realized even in scenarios where the time-reversal transformation is a symmetry, which is surprising because the breaking of time-reversal symmetry is a strict precondition for topological chiral transport in the standard setting of real-space crystals. Our work has also important implications for the dynamics of 2D charged particles in a strong magnetic field.
19 pages, 6 figures; Supplemental video at https://owncloud.gwdg.de/index.php/s/VeQjlZwGoYNN7a4
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- Classical Phase Space Crystals in an Open Environment
- Engineering Bosonic Codes with Quantum Lattice Gates
- Condensed matter physics in big discrete time crystals
- Atomic Regional Superfluids in two-dimensional Moiré Time Crystals
- Degeneracy beyond the parity-symmetry protection in one-dimensional spinless models: The parity-violating Kerr parametric oscillator