Non-equilibrium topological phase transitions in two-dimensional optical lattices
arXiv:1310.4983 · doi:10.1103/PhysRevA.89.013627
Abstract
Recently, concepts of topological phases of matter are extended to non-equilibrium systems, especially periodically driven systems. In this paper, we construct an example which shows non-equilibrium topological phase transitions using ultracold fermions in optical lattices. We show that the Rabi oscillation has the possibility to induce non-equilibrium topological phases which are classified into time-reversal-invariant topological insulators for a two-orbital model of alkaline-earth-metal atoms. Furthermore we study the non-equilibrium topological phases using time-dependent Schrieffer-Wolff-type perturbation theory, and we obtain an analytical expression to describe the topological phase transitions from a high-frequency limit of external driving fields.
8 pages, 4 figures
References in corpus (19)
- Many-Body Physics with Ultracold Gases
- Topological Insulators with Inversion Symmetry
- Classification of topological insulators and superconductors in three spatial dimensions
- Photonic Floquet Topological Insulators
- Photovoltaic Hall effect in graphene
- Topological characterization of periodically-driven quantum systems
- Dynamical control of matter-wave tunneling in periodic potentials
- Exploring Topological Phases With Quantum Walks
- Floquet-Bloch theory and topology in periodically driven lattices
- Resonantly-paired fermionic superfluids
- Non-Abelian gauge fields and topological insulators in shaken optical lattices
- Realistic Time-Reversal Invariant Topological Insulators With Neutral Atoms
- Engineering Time-Reversal Invariant Topological Insulators With Ultra-Cold Atoms
- Non-Abelian Topological Orders and Majorana Fermions in Spin-Singlet Superconductors
- Topological Phases for Fermionic Cold Atoms on the Lieb Lattice
- Simplified topological invariants for interacting insulators
- State preparation and dynamics of ultracold atoms in higher lattice orbitals
- Integer Quantum Hall State in Two-Component Bose Gases in a Synthetic Magnetic Field
- Effects of Smooth Boundaries on Topological Edge Modes in Optical Lattices
Cited by in corpus (9)
- Universal High-Frequency Behavior of Periodically Driven Systems: from Dynamical Stabilization to Floquet Engineering
- Schrieffer-Wolff Transformation for Periodically Driven Systems: Strongly Correlated Systems with Artificial Gauge Fields
- Laser-induced Kondo effect in ultracold alkaline-earth fermions
- Floquet control of quantum dissipation in spin chains
- Wannier representation of Floquet topological states
- Aspects of Floquet Bands and Topological Phase Transitions in a Continuously Driven Superlattice
- Universal competitive spectral scaling from the critical non-Hermitian skin effect
- Floquet Topological Polaritons in Semiconductor Microcavities
- Laser-induced phase transitions of topological Kondo insulators