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Related Experiment Video

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Finite Element Analysis Model for Assessing Expansion Patterns from Surgically Assisted Rapid Palatal Expansion

Finite Element Analysis Model for Assessing Expansion Patterns from Surgically Assisted Rapid Palatal Expansion

Published on: October 20, 2023

Expansion dynamics in the one-dimensional Fermi-Hubbard model.

J Kajala¹, F Massel, P Törmä

¹Department of Applied Physics, Aalto University School of Science, Post Office Box 15100, FI-00076 Aalto, Finland.

Physical Review Letters

|June 15, 2011

Summary

Simulating interacting fermions in a lattice using the Hubbard model reveals key expansion dynamics. A simplified Hubbard dimer model effectively captures complex Fermi gas behavior in lattices.

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Area of Science:

Condensed Matter Physics
Quantum Simulation
Many-Body Physics

Background:

Understanding the dynamics of interacting fermions in lattice systems is crucial for quantum many-body physics.
Previous studies often relied on simplified models or approximations for strongly correlated systems.

Purpose of the Study:

To simulate the expansion dynamics of interacting fermions in a one-dimensional (1D) lattice using the Hubbard model.
To analyze the applicability of a simplified Hubbard dimer model for describing Fermi gas expansion in lattices.

Main Methods:

Utilized the time-evolving block decimation (TEBD) method for essentially exact simulations.
Focused on the expansion of an initial band-insulator state.
Analyzed results using a two-site, two-particle Hubbard dimer model.

Main Results:

The Hubbard dimer model captures essential features of Fermi gas expansion observed in experiments.
A two-fluid model, accounting for paired and non-paired fermions, efficiently describes the full expansion dynamics.
Simulation results align with experimental observations in two-dimensional lattices.

Conclusions:

The Hubbard dimer model provides an efficient and insightful approach to studying strongly interacting fermion dynamics in lattices.
This method offers a valuable tool for understanding dynamical phenomena in various lattice fermion systems.
The findings bridge theoretical simulations with experimental observations in quantum gas expansion.