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.
arXiv comment19 pages, 6 figures; Supplemental video at https://owncloud.gwdg.de/index.php/s/VeQjlZwGoYNN7a4
References in corpus (40)
- Topological Insulators
- Many-Body Physics with Ultracold Gases
- Quantum Spin Hall Effect in Graphene
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Topological Photonics
- Topological Photonics
- Classification of topological quantum matter with symmetries
- Possible Realization of Directional Optical Waveguides in Photonic Crystals with Broken Time-Reversal Symmetry
- Artificial gauge potentials for neutral atoms
- Floquet Topological Insulator in Semiconductor Quantum Wells
- Experimental issues in coherent quantum-state manipulation of trapped atomic ions
- Light-induced gauge fields for ultracold atoms
- Synthetic gauge fields in synthetic dimensions
- Theory of Thermal Hall Effect in Quantum Magnets
- Exciting Collective Oscillations in a Trapped 1D Gas
- Synthetic Dimension in Photonics
- Experimental observation of the Anderson transition with atomic matter waves
- Topological chiral magnonic edge mode in a magnonic crystal
- Exponential localization of Wannier functions in insulators
- Topological quantum matter in synthetic dimensions
- Modeling spontaneous breaking of time-translation symmetry
- Topological Phases of Sound and Light
- Interference of an array of independent Bose-Einstein condensates
- Chiral Bogoliubons in Nonlinear Bosonic Systems
- Experimental Observation of Two-Dimensional Anderson Localization with the Atomic Kicked Rotor
- Topological phase transitions and chiral inelastic transport induced by the squeezing of light
- Phase Space Crystals: A New Way to Create a Quasienergy Band Structure
- Sharp Tunneling Resonance from the Vibrations of an Electronic Wigner Crystal
- Time crystal platform: from quasi-crystal structures in time to systems with exotic interactions
- Condensed Matter Physics in Time Crystals
- Anderson localization and Mott insulator phase in the time domain
- Experimental Observation of Quantum Chaos in a Beam of Light
- Classification of engineered topological superconductors
- Multiple-period Floquet states and time-translation symmetry breaking in quantum oscillators
- Floquet Many-body Engineering: Topological and Many-body Physics in Phase Space Lattices
- Topological edge states for disordered bosonic systems
- Different lattice geometries with synthetic dimension
- Effective Long-distance Interaction from Short-distance Interaction in Periodically Driven One-dimensional Classical System
- Quantum state preparation for coupled period tripling oscillators
- Quantum resonances in an atom-optical delta-kicked harmonic oscillator
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- Advances in Bosonic Quantum Error Correction with Gottesman-Kitaev-Preskill Codes: Theory, Engineering and Applications
- Engineering Arbitrary Hamiltonians in Phase Space
- Perturbative Framework for Engineering Arbitrary Floquet Hamiltonian
- 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
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