Interaction-Driven Shift and Distortion of a Flat Band in an Optical Lieb Lattice

Physical Review Letters
Hideki OzawaYoshiro Takahashi

Abstract

We report the momentum-resolved measurement of Bloch bands in an optical Lieb lattice for a Bose-Einstein condensate (BEC). A BEC in the lattice is transported to a desired quasimomentum by applying a constant force. The energy dispersion of the lowest band is obtained by integrating measured group velocities. We also measure the gap from the lowest band to the higher bands with the same quasimomentum, which can be extracted from the oscillation of the sublattice populations after preparing a superposition of the band eigenstates. We show that the experimental results agree with a band calculation based on the Bogoliubov approximation. It is revealed that the second band, which should be flat in a single-particle description, is shifted and, in particular, distorted around the Brillouin zone edge as the interaction strength increases.

References

Dec 15, 1996·Physical Review. B, Condensed Matter·K NakadaM S Dresselhaus
Mar 6, 1989·Physical Review Letters·E H Lieb
Jun 10, 1996·Physical Review Letters· Ben Dahan MC Salomon
Apr 6, 2001·Physical Review Letters·A Trombettoni, A Smerzi
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Jan 15, 2011·Physical Review Letters·Sebastian KlingMartin Weitz
Jul 21, 2011·Physical Review Letters·Evelyn TangXiao-Gang Wen
Jul 21, 2011·Physical Review Letters·Kai SunS Das Sarma
Jul 21, 2011·Physical Review Letters·Titus NeupertChristopher Mudry
Mar 10, 2012·Physical Review Letters·Gyu-Boong JoDan M Stamper-Kurn
Feb 2, 2013·Physical Review Letters·Yi-Zhuang YouHui Zhai
Jul 22, 2015·Physical Review Letters·Rodrigo A VicencioMario I Molina
Jul 22, 2015·Physical Review Letters·Sebabrata MukherjeeRobert R Thomson
Dec 15, 2015·Science Advances·Shintaro TaieYoshiro Takahashi
Feb 27, 2016·Physical Review Letters·F BabouxJ Bloch

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Citations

Jan 19, 2020·Nature Communications·Shintaro TaieYoshiro Takahashi
Aug 4, 2020·Physical Review Letters·Tymoteusz SalamonDebraj Rakshit
Oct 10, 2020·Physical Review Letters·Tsz-Him LeungDan Stamper-Kurn

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