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Experimental implementation of adiabatic passage between different topological orders.

Xinhua Peng1, Zhihuang Luo2, Wenqiang Zheng2

  • 1Hefei National Laboratory for Physical Sciences at Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei, Anhui 230026, China and Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, China.

Physical Review Letters
|September 6, 2014
PubMed
Summary

Researchers experimentally simulated topological orders in quantum systems using nuclear magnetic resonance. They observed adiabatic transitions between Z(2) topological orders, confirming a method for preparing these exotic quantum states.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Information Science
  • Quantum Simulation

Background:

  • Topological orders represent exotic quantum phases of matter in strongly correlated systems.
  • These phases defy conventional symmetry descriptions and lack local order parameters for identification.
  • Understanding and manipulating topological orders is crucial for advancing quantum technologies.

Purpose of the Study:

  • To experimentally simulate the Wen-plaquette spin model exhibiting distinct topological orders.
  • To observe adiabatic transitions between different Z(2) topological orders.
  • To investigate the entanglement properties of these topological states.

Main Methods:

  • Utilized a nuclear magnetic resonance (NMR) system for quantum simulation.
  • Employed the adiabatic transition method to move between topological phases.
  • Measured nonlocal closed-string (Wilson loop) operators to probe topological order.
  • Characterized entanglement properties of the simulated topological states.

Main Results:

  • Successfully simulated the Wen-plaquette spin model with different topological orders.
  • Observed adiabatic transitions between two Z(2) topological orders via a spin-polarized phase.
  • Measured Wilson loop operators, confirming the presence and transitions of topological order.
  • Quantified entanglement characteristics associated with the topological phases.

Conclusions:

  • The study validates the adiabatic method as a viable technique for preparing topologically ordered states.
  • Provides experimental evidence for transitions between distinct Z(2) topological orders.
  • Offers a valuable experimental platform for future investigations into complex quantum systems and topological phenomena.