Quantum quench and prethermalization dynamics in a two-dimensional fermi gas with long-range interactions

Area of Science:

• Condensed Matter Physics
• Quantum Dynamics
• Statistical Mechanics

Background:

• Understanding nonequilibrium quantum systems is crucial for quantum technologies.
• Long-range interactions significantly alter system dynamics.

Purpose of the Study:

• Investigate the dynamics of a 2D spinless Fermi gas after a quantum quench.
• Characterize the emergent prethermalized state and its description.

Main Methods:

• Utilized bosonization of the Fermi surface for short- to intermediate-time dynamics.
• Computed nonequilibrium fermion density matrix and momentum distribution evolution.
• Employed a perturbative approach in fermionic degrees of freedom.

Main Results:

• Observed consistency between bosonization predictions and a prethermalization plateau.
• Demonstrated that the bosonized representation allows construction of the generalized Gibbs ensemble.
• Computed the space-time dependence of the fermion density matrix.

Conclusions:

• The bosonized representation provides a framework for describing prethermalized states in quantum quenches.
• Prethermalization is a robust phenomenon in 2D Fermi gases with long-range interactions.
• The generalized Gibbs ensemble accurately captures the steady state.