Quantum Capillary Waves at the Superfluid--Mott Insulator Interface

Details Quantum Capillary Waves at the Superfluid--Mott Insulator Interface Quantum Capillary Waves at the Superfluid--Mott Insulator Interface

2011-08-03

arxiv.org/abs/1108.0886v3

Phys. Rev. Lett. 107, 155703 (2011)

Physics

Condensed Matter

Quantum Gases

published version + two additional references

Scientific paper

10.1103/PhysRevLett.107.155703

We discuss quantum fluctuations of the interface between a superfluid and a Mott-insulating state of ultracold atoms in a trap. The fluctuations of the boundary are due to a new type of surface modes, whose spectrum is similar (but not identical) to classical capillary waves. The corresponding quantum capillary length sets the scale for the penetration of the superfluid into the Mott-insulating regime by the proximity effect and may be on the order of several lattice spacings. It determines the typical magnitude of the interface width due to quantum fluctuations, which may be inferred from single site imaging of ultracold atoms in an optical lattice.

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