Preparing Atomic Topological Quantum Matter by Adiabatic Nonunitary Dynamics

Abstract

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.

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Cited by in corpus (13)

• Engineered Dissipation for Quantum Information Science
• Hierarchy of topological order from finite-depth unitaries, measurement and feedforward
• Driven quantum many-body systems and out-of-equilibrium topology
• Linking invariant for the quench dynamics of a two-dimensional two-band Chern insulator
• A dark state of Chern bands: Designing flat bands with higher Chern number
• Bilayer Haldane system: Topological characterization and adiabatic passages connecting Chern phases
• Quantum critical behaviors and decoherence of weakly coupled quantum Ising models within an isolated global system
• Free-Fermion Dynamics with Measurements: Topological Classification and Adaptive Preparation of Topological States
• Topology in the space-time scaling limit of quantum dynamics
• Stacked quantum Ising systems and quantum Ashkin-Teller model
• From orthogonal link to phase vortex in generalized dynamical Hopf insulators
• Adiabatic preparation of a number-conserving atomic Majorana phase
• Optimizing the dynamical preparation of quantum spin lakes on the ruby lattice