Dynamical preparation of an atomic condensate in a Hofstadter band
arXiv:2107.11547 · doi:10.1103/PhysRevA.105.043301
Abstract
The creation of a Hamiltonian in the quantum regime which has non-trivial topological features is a central goal of the cold-atom community, enabling widespread exploration of novel phases of quantum matter. A general scheme to synthesize such Hamiltonians is based on dynamical modulation of optical lattices which thereby generate vector potentials. At the same time the modulation can lead to heating and serious difficulties with equilibration. Here we show that these challenges can be overcome by demonstrating how a Hofstadter Bose-Einstein condensate (BEC) can be dynamically realized, using experimental protocols. From Gross-Pitaevskii simulations our study reveals a complex, multistage evolution; this includes a chaotic intermediate "heating" stage followed by a spontaneous reentrance to the BEC. The observed behavior is reminiscent of evolution in cosmological models.
References in corpus (37)
- Topological Insulators
- Topological insulators and superconductors
- Topological Order and the Quantum Spin Hall Effect
- Experimental realisation of the topological Haldane model
- Artificial gauge potentials for neutral atoms
- Hofstadter's butterfly in moire superlattices: A fractal quantum Hall effect
- Massive Dirac fermions and Hofstadter butterfly in a van der Waals heterostructure
- Cloning of Dirac fermions in graphene superlattices
- Synthetic magnetic fields for ultracold neutral atoms
- Universal High-Frequency Behavior of Periodically Driven Systems: from Dynamical Stabilization to Floquet Engineering
- Atomic quantum gases in periodically driven optical lattices
- Light-induced gauge fields for ultracold atoms
- Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices
- Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
- Floquet Engineering of Quantum Materials
- Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
- Realization of Two-Dimensional Spin-orbit Coupling for Bose-Einstein Condensates
- Tunable gauge potential for neutral and spinless particles in driven lattices
- Reheating in Inflationary Cosmology: Theory and Applications
- Spontaneous vortices in the formation of Bose-Einstein condensates
- Engineering Ising-XY spin models in a triangular lattice via tunable artificial gauge fields
- Turbulent Thermalization
- Artificial gauge fields in materials and engineered systems
- Relativistic Turbulence: A Long Way from Preheating to Equilibrium
- Observation of Bose-Einstein Condensation in a Strong Synthetic Magnetic Field
- Cooling in strongly correlated optical lattices: prospects and challenges
- Quantum turbulence in trapped atomic Bose-Einstein condensates
- Floquet prethermalization in a Bose-Hubbard system
- Quarter-Flux Hofstadter Lattice in Qubit-Compatible Microwave Cavity Array
- Artificial gauge fields with ultracold atoms
- Population dynamics in Floquet realisation of Harper-Hofstadter Hamiltonian
- Driving protocol for a Floquet topological phase without static counterpart
- Stroboscopic versus non-stroboscopic dynamics in the Floquet realization of the Harper-Hofstadter Hamiltonian
- Coherent inflationary dynamics for Bose-Einstein condensates crossing a quantum critical point
- Phase Imprinting in Equilibrating Fermi Gases: The Transience of Vortex Rings and Other Defects
- Vortex Nucleation in a Bose-Einstein Condensate: From the Inside Out
- Dynamics of Bose-Einstein Recondensation in Higher Bands