Probing equilibrium current patterns of ultracold atoms in an optical lattice

Physics – Condensed Matter – Quantum Gases

Scientific paper

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5 pages, 4 figures. Supplementary Material, 3 pages, 1 figure. Links to supplemental video files will be posted at a later dat

Scientific paper

Atomic bosons and fermions in an optical lattice can simulate a variety of interesting condensed matter states that support equilibrium current patterns. However, measuring the mass currents in such states of atomic matter is a significant challenge since they do not produce detectable magnetic fields, unlike their electronic counterparts in solids. In this paper, we propose making a nonequilibrium quench of the Hamiltonian that dynamically converts such atomic mass currents into experimentally measurable real-space density patterns. We illustrate how a specific such "unidirec- tional" quench of the optical lattice can be used to uncover checkerboard and stripe current orders in lattice Bose superfluids and Fermi gases, as well as chiral edge currents in an integer quantum Hall state of lattice fermions.

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