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 (11)
- Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
- Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
- 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
- Cooling in strongly correlated optical lattices: prospects and challenges
- 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
- 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