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Spin-Holstein Models in Trapped-Ion Systems.

J Knörzer1,2, T Shi3,4, E Demler5,6

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Trapped-ion quantum systems can simulate complex spin-Holstein models, offering a powerful tool for condensed matter physics. This approach benchmarks numerical calculations and reveals insights into electron-phonon interactions.

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Area of Science:

  • Quantum simulation
  • Condensed matter physics
  • Quantum information science

Background:

  • The Holstein model describes electron-phonon interactions, crucial in condensed matter.
  • Simulating complex quantum many-body systems is computationally challenging.
  • Trapped-ion systems offer a controllable platform for quantum simulations.

Purpose of the Study:

  • To explore the use of trapped-ion quantum systems for studying generalized Holstein models.
  • To benchmark advanced numerical calculation methods.
  • To investigate the interplay of charge-density wave order, fermion pairing, and phase separation in many-electron systems.

Main Methods:

  • Implementation of a spin-Holstein model using arrays of trapped ions.
  • Utilizing a hybrid numerical approach combining non-Gaussian variational ansatz states and matrix product states.
  • Benchmarking against standard density-matrix renormalization group calculations.

Main Results:

  • Demonstrated the feasibility of simulating spin-Holstein models with trapped-ion quantum systems.
  • Showcased the superiority of the hybrid simulation approach over standard methods.
  • Provided insights into the competition between different emergent orders in many-electron systems.

Conclusions:

  • Trapped-ion quantum simulators are effective for studying complex condensed matter models.
  • The developed hybrid numerical method offers improved accuracy and efficiency.
  • This work paves the way for more sophisticated quantum simulations of electron-phonon interactions.