Ultracold Atoms and Quantum Simulators Marc Cheneau and Igor - - PowerPoint PPT Presentation

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Ultracold Atoms and Quantum Simulators Marc Cheneau and Igor - - PowerPoint PPT Presentation

Jun 22, 2023 244 likes •382 views

Ultracold Atoms and Quantum Simulators Marc Cheneau and Igor Ferrier_Barbut Laboratoire Charles Fabry Institut dOptique, CNRS, Univ. Paris-Saclay F-91127 Palaiseau, France marc.cheneau@institutoptique.fr

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SLIDE 1

Ultracold Atoms and Quantum Simulators

Marc Cheneau and Igor Ferrier_Barbut

Laboratoire Charles Fabry Institut d’Optique, CNRS, Univ. Paris-Saclay F-91127 Palaiseau, France

marc.cheneau@institutoptique.fr igor.ferrier_barbut@institutoptique.fr

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Lecture 5 Optical lattices

From one- to many-body physics

  • J. Dalibard: Lectures at Collège de France (2012-2013)
  • D. Jaksch and P. Zoller: Annals of Physics 315 (1), pp 52–79 (2005)
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The optical lattice potential : 1D geometry

  • J. Dalibard, Lectures at Collège de France (2012-2013)
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SLIDE 4

The optical lattice potential : 2D geometries

Tarruell et al. 2012 – Nature 483 302

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SLIDE 5

Energy bands

  • J. Dalibard, Lectures at Collège de France (2012-2013)
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SLIDE 6

Wannier functions

  • J. Dalibard, Lectures at Collège de France (2012-2013)
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SLIDE 7

Tight-binding limit

  • J. Dalibard, Lectures at Collège de France (2012-2013)
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SLIDE 8

Mean-fjeld phase diagram

average site occupation condensate fraction

phase diagram

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SLIDE 9

Momentum distribution

Greiner et al. 2002 – Nature 415 39

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SLIDE 10

Density fmuctuations

Bakr et al. 2009 – Nature 462 74

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SLIDE 11

Sherson et al. 2010 – Nature 467 68 Endres et al. 2011 – Science 334 200

Density fmuctuations

superfluid insulator

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SLIDE 12

Bakr et al. 2010 – Science 329 547

Mott shells