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Digital Quantum Simulation of Z_{2} Lattice Gauge Theories with Dynamical Fermionic Matter
Erez Zohar1, Alessandro Farace1, Benni Reznik2
1Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Straße 1, 85748 Garching, Germany.
Physical Review Letters
|March 4, 2017
Summary
We present a new digital quantum simulation method for lattice gauge theories with dynamical fermions. This approach uses layered optical lattices to achieve stroboscopic dynamics, enabling simulations in (2+1) dimensions without perturbation theory.
Area of Science:
- Quantum Simulation
- Lattice Gauge Theory
- Quantum Computing
Background:
- Lattice gauge theories are fundamental in describing particle physics but are computationally challenging.
- Digital quantum simulation offers a promising avenue for studying these complex systems.
- Simulating dynamical fermions in gauge theories remains a significant hurdle.
Purpose of the Study:
- To propose a novel scheme for digital quantum simulation of lattice gauge theories with dynamical fermions.
- To demonstrate the generation of four-body plaquette interactions essential for higher-dimensional models.
- To provide a concrete example of simulating a Z_{2} model in (2+1) dimensions.
Main Methods:
- Utilizing a layered optical lattice architecture with mobile ancilla atoms.
- Implementing stroboscopic dynamics to engineer specific interaction terms.
- Avoiding the need for perturbative expansions in the simulation.
Main Results:
- Successfully generated four-body plaquette interactions relevant for (2+1) and higher dimensional lattice gauge theories.
- Demonstrated the feasibility of simulating a Z_{2} lattice gauge model in (2+1) dimensions.
- The proposed method allows for digital quantum simulation of gauge theories with dynamical fermions.
Conclusions:
- The presented scheme offers a powerful new tool for digital quantum simulation of complex gauge theories.
- This work paves the way for exploring non-perturbative phenomena in quantum field theories using quantum computers.
- The method is versatile and applicable to a range of lattice gauge models with dynamical fermions.
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