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Bulletin of the American Physical Society

Impact of inter-ladder coupling in a coupled spin-1/2 two-leg ladder

Tao Hong, K.P. Schmidt, K. Coester, Firas F. Awwadi, Mark M. Turnbull, Yiming Qiu, Jose A. Rodriguez-Rivera, Xianglin Ke, Christopher Aoyama, Y. Takano, Huibo B. Cao, Wei Tian, Jianhua Ma, Radu Custelcean, Haidong D. Zhou, Masaaki Matsuda

Published Mar 3, 2014• 0 citations
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An antiferromagnetic spin chain is equivalent to the two-flavour massless Schwinger model in a uniform background charge density in the strong coupling regime. The gapless mode of the spin chain is represented by a massless boson of the Schwinger model. In a two-leg spin ladder system the massless boson aquires a finite mass due to inter-chain interactions. The gap energy is found to be about when the inter-chain Heisenberg coupling is small compared with the intra-chain Heisenberg coupling. It is also shown that a cyclically symmetric -leg ladder system is gapless or gapful for an odd or even , respectively.
Abstract We report the experimental realization of a Creutz ladder for ultracold fermionic atoms in a resonantly driven 1D optical lattice. The two-leg ladder consists of the two lowest orbital states of the optical lattice and the cross inter-leg links are generated via two-photon resonant coupling between the orbitals by periodic lattice shaking. The characteristic pseudo-spin winding structure in the energy bands of the ladder system is demonstrated using momentum-resolved Ramsey-type interferometric measurements. We discuss a two-tone driving method to extend the inter-leg link control and propose a topological charge pumping scheme for the Creutz ladder system.