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Preparing Atomic Topological Quantum Matter by Adiabatic Nonunitary Dynamics.

S Barbarino1, J Yu2,3, P Zoller2,3

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We present a new method to create exotic quantum states of matter, like Chern insulators, using ultracold atoms. This protocol overcomes a key challenge in quantum physics for synthetic materials.

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Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Synthetic materials

Background:

  • Realizing low-temperature quantum states in synthetic materials is challenging.
  • Nonsymmetry-protected topological phases, such as Chern insulators, typically require phase transitions, hindering preparation in coherent dynamics.
  • Preparing topological states is crucial for quantum technologies.

Purpose of the Study:

  • To propose and study an experimentally feasible protocol for preparing topological states, specifically Chern insulators.
  • To overcome the limitation of phase transitions in closed systems for preparing topological states.
  • To generalize the protocol for invertible topological phases.

Main Methods:

  • Coupling a target system to a conjugate system.
  • Intermittently breaking the protecting symmetry in the extended system.
  • Discarding the conjugate system to project onto the desired topological state.
  • Microscopic simulations using an ultracold fermionic atom Chern insulator model.

Main Results:

  • Demonstrated a protocol for preparing topological states, including Chern insulators.
  • Showcased the method's applicability to invertible topological phases.
  • Validated the protocol through simulations on a realistic experimental model.

Conclusions:

  • The proposed protocol offers a viable route to synthesize topological states of quantum matter.
  • This method overcomes fundamental limitations in preparing topological phases in coherent dynamics.
  • The approach is generalizable and experimentally relevant for ultracold atom platforms.