Difference between revisions of "Superfluid to Mott Insulator Transition"
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imported>Woochang m |
imported>Woochang m (commented out old descriptions on band structure) |
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insulator. These physics are important in a wide range of condensed | insulator. These physics are important in a wide range of condensed | ||
matter systems, and can be explored deeply with BECs. | matter systems, and can be explored deeply with BECs. | ||
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The ultracold atoms are trapped in a periodic potential, | The ultracold atoms are trapped in a periodic potential, | ||
:<math> | :<math> | ||
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where <math>a = \frac{\lambda}{2} = \pi/k</math>, and the paramter <math>J</math> tells us | where <math>a = \frac{\lambda}{2} = \pi/k</math>, and the paramter <math>J</math> tells us | ||
how wide the band is and how large the dispersion region is. | how wide the band is and how large the dispersion region is. | ||
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Back to: [[Quantum gases]] | Back to: [[Quantum gases]] | ||
Revision as of 16:46, 10 May 2017
A condenstate in a shallow standing wave potential is a BEC, well described by a Bogoliubov approximate solution. As the potential gets deeper, though, eventually the system transitions into a state of localized atoms, with no long-range coherence, known as a Mott insulator. These physics are important in a wide range of condensed matter systems, and can be explored deeply with BECs.
Back to: Quantum gases
