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Related Experiment Video

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Direct Imaging of Laser-driven Ultrafast Molecular Rotation

Direct Imaging of Laser-driven Ultrafast Molecular Rotation

Published on: February 4, 2017

Fast dynamics for atoms in optical lattices.

Mateusz Łącki¹, Jakub Zakrzewski

¹Instytut Fizyki imienia Mariana Smoluchowskiego, Uniwersytet Jagielloński, ulica Reymonta 4, PL-30-059 Kraków, Poland.

Physical Review Letters

|February 26, 2013

Summary

Standard tight-binding models incompletely describe cold atom dynamics in optical lattices when potentials change rapidly. A proper quantum mechanical approach using time-dependent Wannier functions is crucial for accurate modeling of many-body dynamics.

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Area of Science:

Atomic, Molecular, and Optical (AMO) Physics
Quantum Many-Body Systems
Condensed Matter Theory

Background:

Cold atoms in optical lattices are powerful tools for studying quantum many-body dynamics.
Rapid changes in optical lattice potentials can induce significant excitations, complicating system dynamics.
Standard tight-binding models often neglect crucial dynamic effects on basis transformations.

Purpose of the Study:

To highlight the limitations of standard tight-binding models in describing non-adiabatic dynamics of cold atoms in optical lattices.
To introduce and apply a multiband extended Bose-Hubbard model incorporating time-dependent Wannier functions.
To provide a more accurate quantum mechanical description for experimentally relevant scenarios.

Main Methods:

Development of a multiband extended Bose-Hubbard model.
Inclusion of time-dependent Wannier functions to capture dynamic effects.
Application of the model to simulate cold atom dynamics in time-varying optical lattices.

Main Results:

Demonstrated that standard tight-binding models fail to capture essential dynamics under rapid potential modifications.
Showcased the necessity of accounting for the time evolution of the transformation between real and tight-binding spaces.
The proposed model provides a more complete description of atomic system dynamics.

Conclusions:

Accurate modeling of cold atom many-body dynamics in rapidly changing optical lattices requires advanced quantum mechanical approaches.
Time-dependent Wannier functions are essential for capturing the full picture of system evolution.
The developed model offers improved theoretical insights for experimental investigations.