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• W2270518346 abstract "Inspired by recent experiments with cold atoms in optical lattices, we consider a Stuckelberg interferometer for a particle performing Bloch oscillations in a tight-binding model on the honeycomb lattice. The interferometer is made of two avoided crossings at the saddle points of the band structure (i.e., at M points of the reciprocal space). This problem is reminiscent of the double Dirac cone Stuckelberg interferometer that was recently studied in the continuum limit [Phys. Rev Lett. 112, 155302 (2014)]. Although the two problems share similarities---such as the appearance of a geometric phase shift---lattice effects, not captured by the continuum limit, make them truly different. The particle dynamics in the presence of a force is described by the Bloch Hamiltonian $H(mathbit{k})$ defined from the tight-binding Hamiltonian and the position operator. This leads to many interesting effects for the lattice Stuckelberg interferometer: a twisting of the two Landau-Zener tunnelings, saturation of the interband transition probability in the sudden (infinite force) limit, and extended periodicity or even nonperiodicity beyond the first Brillouin zone. In particular, Stuckelberg interferometry gives access to the overlap matrix of cell-periodic Bloch states thereby allowing one to fully characterize the geometry of Bloch states, as, e.g., to obtain the quantum metric tensor." @default.
• W2270518346 created "2016-06-24" @default.
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• W2270518346 date "2015-12-21" @default.
• W2270518346 modified "2023-09-25" @default.
• W2270518346 title "Geometry of Bloch states probed by Stückelberg interferometry" @default.
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• W2270518346 doi "https://doi.org/10.1103/physreva.92.063627" @default.
• W2270518346 hasPublicationYear "2015" @default.
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