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Quantum stripe ordering in optical lattices.

Congjun Wu¹, W Vincent Liu, Joel Moore

¹Kavli Institute for Theoretical Physics, University of California, Santa Barbara, CA 93106, USA.

Physical Review Letters

|December 13, 2006

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We predict a new quantum orbital stripe order in cold atoms on triangular lattices. This order breaks fundamental symmetries and may be observable in experiments.

Area of Science:

Quantum physics
Condensed matter physics
Cold atom physics

Background:

Bose-Hubbard model describes interacting cold atoms in optical lattices.
Orbital degrees of freedom in cold atoms can lead to novel quantum phases.
Triangular lattices are known for geometric frustration effects.

Purpose of the Study:

To predict and characterize a novel quantum orbital stripe order.
To investigate the properties and symmetry breaking of this order.
To identify potential experimental signatures.

Main Methods:

Theoretical prediction using the p-band Bose-Hubbard model.
Analysis of cold bosonic atoms in two-dimensional triangular optical lattices.
Symmetry analysis of the predicted orbital stripe order.

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Main Results:

Robust existence of quantum orbital stripe order predicted.
Orbital angular momentum forms stripe order in both superfluid and Mott-insulating phases.
Spontaneous breaking of time-reversal, lattice translation, and rotation symmetries observed.
Induction of staggered plaquette bond currents in the superfluid phase.

Conclusions:

The predicted quantum orbital stripe order is a robust phenomenon.
This order significantly impacts the system's symmetries and dynamics.
Experimental detection via time-of-flight measurements is feasible.