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Nature Reviews Physics

The superfluid-to-Mott insulator transition and the birth of experimental quantum simulation

Immanuel Bloch, Markus Greiner

Published Sep 20, 2022• 12 citations
Publisher
DOI
10.1038/s42254-022-00520-9

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The Mott insulator and superfluid phase transition is one of the most prominent phenomena in ultracold atoms. In this work, we report the observation of a novel 2D quantum phase transition between Mott insulator and $π$ superfluid in a shaking optical lattice. In the deep optical lattice regime, the lowest $s$-band can be tuned to Mott phase, while the higher $p_{x,y}$ bands are itinerant for having larger bandwidth. Through a shaking technique coupling the $s$ orbital to $p_{x,y}$ orbital states, we experimentally observe the transition between the states of the $s$ and $p_{x,y}$ bands, leading to a quantum phase transition from 2D $s$-orbital Mott phase to the $p_{x,y}$-orbital superfluid which condensed at $(π,π)$ momentum.

arXiv:2306.04477•Jun 7, 2023•0 citations
We study a bosonic version of the Kondo lattice model with an onsite repulsion in the conduction band, implemented with alkali-metal atoms in two bands of an optical lattice. Using both weak- and strong-coupling perturbation theory, we find that at unit filling of the conduction bosons the superfluid-to-Mott-insulator transition should be accompanied by a magnetic transition from a ferromagnet (in the superfluid) to a paramagnet (in the Mott insulator). Furthermore, an analytic treatment of Gutzwiller mean-field theory reveals that quantum spin fluctuations induced by the Kondo exchange cause the otherwise continuous superfluid-to-Mott-insulator phase transition to be first order. We show that lattice separability imposes a serious constraint on proposals to exploit excited bands for quantum simulations, and discuss a way to overcome this constraint in the context of our model by using an experimentally realized nonseparable lattice. A method to probe the first-order nature of the transition based on collapses and revivals of the matter-wave field is also discussed.
Observation of 2D Mott insulator and πππ-superfluid quantum phase transition in shaking optical lattice
The Mott insulator and superfluid phase transition is one of the most prominent phenomena in ultracold atoms. In this work, we report the observation of a novel 2D quantum phase transition between Mott insulator and πππ superfluid in a shaking optical lattice. In the deep optical lattice regime, the lowest sss-band can be tuned to Mott phase, while the higher px,yp_{x,y}px,y​ bands are itinerant for having larger bandwidth. Through a shaking technique coupling the sss orbital to px,yp_{x,y}px,y​ orbital states, we experimentally observe the transition between the states of the sss and px,yp_{x,y}px,y​ bands, leading to a quantum phase transition from 2D sss-orbital Mott phase to the px,yp_{x,y}px,y​-orbital superfluid which condensed at (π,π)(π,π)(π,π) momentum.