Non-linear quantum-classical scheme to simulate non-equilibrium strongly correlated fermionic many-body dynamics

Area of Science:

• Quantum simulation
• Condensed matter physics
• Computational physics

Background:

• Strongly correlated fermions pose significant simulation challenges.
• Non-equilibrium dynamics are crucial for understanding material properties.
• The Hubbard model on a Bethe lattice is a key theoretical model.

Purpose of the Study:

• To propose a novel hybrid quantum-classical scheme.
• To simulate non-equilibrium dynamics of strongly correlated fermions.
• To address the thermodynamic limit in the Bethe lattice.

Main Methods:

• Implementation of non-equilibrium dynamical mean field theory (DMFT).
• Utilizing a digital quantum simulator for the impurity problem.
• Employing a classical feedback loop for parameter self-consistency.
• Accounting for quantum gate errors.

Main Results:

• Demonstrated a viable hybrid approach for complex simulations.
• Showcased the scheme's performance in a specific example case.
• Provided a pathway for more accurate quantum simulations.

Conclusions:

• The proposed hybrid scheme offers a promising direction for simulating strongly correlated systems.
• Digital quantum simulators can be effectively integrated with classical methods like DMFT.
• The approach shows potential for overcoming limitations in current simulation techniques.