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Related Experiment Video

Updated: Jul 4, 2026

Setting Limits on Supersymmetry Using Simplified Models

Setting Limits on Supersymmetry Using Simplified Models

Published on: November 15, 2013

Interaction quench in the Hubbard model.

Michael Moeckel¹, Stefan Kehrein

¹Arnold-Sommerfeld-Center for Theoretical Physics and CeNS, Department Physik, Ludwig-Maximilians-Universität, München, Germany.

Physical Review Letters

|June 4, 2008

Summary

We studied quantum many-body systems dynamics after switching on interactions. Three distinct time regimes were observed, leading to thermalization in the long-time limit.

Area of Science:

Condensed Matter Physics
Quantum Many-Body Systems
Ultracold Atomic Gases

Background:

Recent experiments explore nonequilibrium dynamics in interacting quantum systems.
Investigating the opposite limit of Landau's Fermi-liquid paradigm is crucial.
Understanding quantum system behavior after sudden parameter changes is key.

Purpose of the Study:

To investigate the real-time dynamics of a Hubbard model following a sudden interaction quench.
To analyze the system's evolution from an initial state to a thermalized state.
To identify distinct time regimes governing the system's nonequilibrium evolution.

Main Methods:

Utilizing the flow equation method for systematic expansion.
Analyzing real-time dynamics for weak interactions (U).

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Published on: November 15, 2013

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Employing a quantum Boltzmann equation for the long-time limit.

Main Results:

Identified three distinct time regimes: initial correlation buildup, a quasi-steady Fermi-liquid-like state, and long-time thermalization.
Observed the formation of quasiparticles in the initial regime.
Found that the momentum distribution function thermalizes at long times with a temperature proportional to interaction strength (U).

Conclusions:

The Hubbard model exhibits complex nonequilibrium dynamics after an interaction quench.
The identified time regimes provide a framework for understanding the transition to thermalization.
The study offers insights into the behavior of quantum many-body systems far from equilibrium.