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Digital quantum simulation of the Holstein model in trapped ions
A Mezzacapo1, J Casanova, L Lamata
1Departamento de Química Física, Universidad del País Vasco UPV/EHU, Apartado 644, 48080 Bilbao, Spain.
Physical Review Letters
|December 11, 2012
Summary
We present a digital method to simulate the Holstein model using trapped ions. This approach allows for scalable simulations and measurement of polaron properties, advancing quantum simulation capabilities.
Area of Science:
- Quantum simulation
- Condensed matter physics
- Ion trap technology
Background:
- The Holstein model is crucial for understanding electron-phonon interactions in materials.
- Simulating quantum systems accurately is a key challenge in physics.
- Trapped ions offer a promising platform for quantum computation and simulation.
Purpose of the Study:
- To propose a digital implementation of the Holstein model using trapped ions.
- To analyze the fidelity of the simulation concerning phononic excitations.
- To investigate the impact of realistic quantum gates on the simulation protocol.
Main Methods:
- Digital simulation of the Holstein model in a linear ion chain.
- Stepwise decomposition and implementation of the Holstein Hamiltonian.
- Numerical simulations to assess protocol robustness against realistic gates.
- Analysis of simulation fidelity scaling with phononic excitations.
Main Results:
- A method for implementing the Holstein model using trapped ions is proposed.
- Simulation fidelity is shown to scale with the generation of phononic excitations.
- The protocol's performance under realistic gate operations is numerically studied.
- A method for measuring the simulated polaron size is demonstrated.
Conclusions:
- Digital quantum simulation of the Holstein model is feasible with trapped ions.
- The proposed method provides insights into electron-phonon interactions.
- This work paves the way for more complex quantum simulations in condensed matter physics.
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