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Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

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Quantum capillary waves at the superfluid-Mott-insulator interface.

Steffen Patrick Rath¹, Boris Spivak, Wilhelm Zwerger

¹Physik Department, Technische Universität München, James-Franck-Straße, 85748 Garching, Germany.

Physical Review Letters

|November 24, 2011

Summary

Quantum fluctuations at the superfluid-Mott insulator boundary in ultracold atoms are driven by novel surface modes. These quantum capillary waves dictate interface width and superfluid penetration, observable via single-site imaging.

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Area of Science:

Atomic, Molecular, and Optical Physics
Condensed Matter Physics
Quantum Gases

Background:

Superfluidity and Mott insulator states are key quantum phases of ultracold atoms in optical lattices.
Understanding the interface dynamics between these phases is crucial for quantum simulations and condensed matter studies.
Quantum fluctuations at interfaces can significantly alter material properties and phase behaviors.

Purpose of the Study:

To investigate the nature of quantum fluctuations at the interface between a superfluid and a Mott-insulating state in ultracold atoms.
To identify and characterize novel surface modes responsible for interface fluctuations.
To determine the impact of these fluctuations on the interface width and proximity effects.

Main Methods:

Theoretical analysis of quantum fluctuations in a trapped ultracold atom system.
Modeling of interface boundary dynamics using concepts analogous to capillary waves.
Exploring the spectrum of newly identified surface modes.
Considering the implications for observable phenomena like interface width and penetration depth.

Main Results:

Identified novel surface modes governing quantum fluctuations at the superfluid-Mott insulator interface.
Established an analogy between these modes and classical capillary waves, with distinct quantum characteristics.
Defined a quantum capillary length that governs superfluid penetration into the Mott insulator via proximity effect.
Quantified the interface width arising from quantum fluctuations, on the order of several lattice spacings.

Conclusions:

Quantum fluctuations, mediated by unique surface modes, significantly influence the interface between superfluid and Mott insulator states.
The quantum capillary length is a critical parameter determining interface properties and proximity effects.
These findings provide a framework for interpreting experimental observations, particularly from single-site imaging of ultracold atoms in optical lattices.