# Dresden 2020 – wissenschaftliches Programm

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# DY: Fachverband Dynamik und Statistische Physik

## DY 46: Many-body Quantum Dynamics I

### DY 46.4: Vortrag

### Donnerstag, 19. März 2020, 10:30–10:45, HÜL 186

**Preparing Atomic Topological Quantum Matter by Adiabatic Non-Unitary Dynamics** — Simone Barbarino^{1}, Jinlong Yu^{2,3}, Peter Zoller^{2,3}, and •Jan Carl Budich^{1} — ^{1}Institute of Theoretical Physics, Technische Universität Dresden, 01062 Dresden, Germany — ^{2}Center for Quantum Physics, Faculty of Mathematics, Computer Science and Physics, University of Innsbruck, Innsbruck A-6020, Austria — ^{3}Institute for Quantum Optics and Quantum Information, Austrian Academy of Sciences, Innsbruck A-6020, Austria

Motivated by the outstanding challenge of realizing low-temperature states of quantum matter in synthetic materials, we propose and study an experimentally feasible protocol for preparing topological states such as Chern insulators. By definition, such (non-symmetry protected) topological phases cannot be attained without going through a phase transition in a closed system, largely preventing their preparation in coherent dynamics. To overcome this fundamental caveat, we propose to couple the target system to a conjugate system, so as to prepare a symmetry protected topological phase in an extended system by intermittently breaking the protecting symmetry. Finally, the decoupled conjugate system is discarded, thus projecting onto the desired topological state in the target system. By construction, this protocol may be immediately generalized to the class of invertible topological phases, characterized by the existence of an inverse topological order. We illustrate our findings with microscopic simulations on an experimentally realistic Chern insulator model of ultracold fermionic atoms in a driven spin-dependent hexagonal optical lattice.