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Doublon relaxation in the Bose-Hubbard model.

A L Chudnovskiy¹, D M Gangardt, A Kamenev

¹I. Institut für Theoretische Physik, Universität Hamburg, Hamburg, Germany.

Physical Review Letters

|April 3, 2012

Summary

The decay of high-energy doublons (double occupancy states) in narrow-band lattices is slow due to many-particle excitations. Researchers found this decay exponent can be exactly calculated when average occupation is low, using a quasiclassical approach.

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Area of Science:

Condensed matter physics
Quantum mechanics
Many-body physics

Background:

High-energy double occupancy states, or doublons, are crucial in understanding electron correlations in narrow-band systems.
The decay of these states typically involves complex many-particle excitations, leading to long relaxation times.

Purpose of the Study:

To investigate the decay dynamics of doublons in narrow-band lattices.
To determine if the decay exponent can be analytically evaluated under specific conditions.
To develop a theoretical framework for calculating decay amplitudes.

Main Methods:

Development of a quasiclassical approach.
Calculation of high-order tree-level decay amplitudes.
Analysis of doublon decay under conditions of small average occupation number.

Main Results:

The decay of doublons requires the creation of coherent many-particle excitations.
This process results in exponentially long relaxation times for the doublon state.
The decay exponent can be evaluated exactly when the average occupation number is sufficiently small.

Conclusions:

The quasiclassical approach provides an exact method for evaluating the doublon decay exponent under low occupation conditions.
Understanding doublon decay dynamics is essential for predicting the behavior of correlated electron systems.
This work offers a new theoretical tool for studying relaxation processes in condensed matter systems.