Quantum phases of constrained bosons on a two-leg Bose-Hubbard ladder

Ashirbad, Padhan,; Parida, Rajashri; Sayan, Lahiri,; Giri, Mrinal Kanti; Mishra, Tapan

doi:10.1103/physreva.108.013316

Cited by 2 publications

(1 citation statement)

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“…As a prototypical system, we employ a bosonic two-leg ladder model [36][37][38][39][40][41], which has already been explored experimentally to great effect using ultracold atoms for example [42][43][44][45][46][47]. While previous studies of so-called 'biased' two-leg ladders have considered either interchain energy detunings across the two legs of the ladder or different two-body onsite interaction terms [48][49][50][51], here we consider a bias in the range of the couplings themselves. We suppose that the two-leg ladder is composed of an upper chain A (marked in pink in figure 1(a)) which exhibits both nearest-nearest and next-nearest-neighbor couplings, and a lower chain B (depicted in yellow in panel (a)) which only sustains nearest-neighbor interactions.…”

Section: Introductionmentioning

confidence: 99%

Unconventional edge states in a two-leg ladder

Downing,

Martín-Moreno,

Fox

2024

New J. Phys.

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Some popular mechanisms for restricting the diffusion of waves include introducing disorder (to provoke Anderson localization) and engineering topologically non-trivial phases (to allow for topological edge states to form). However, other methods for inducing somewhat localized states in elementary lattice models have been historically much less studied. Here we show how edge states can emerge within a simple two-leg ladder of coupled harmonic oscillators, where it is important to include interactions beyond those at the nearest neighbor range. Remarkably, depending upon the interplay between the coupling strength along the rungs of the ladder and the next-nearest neighbor coupling strength along one side of the ladder, edge states can indeed appear at particular energies. In a wonderful manifestation of a type of bulk-edge correspondence, these edge state energies correspond to the quantum number for which additional stationary points appear in the continuum bandstructure of the equivalent problem studied with periodic boundary conditions. Our theoretical results are relevant to a swathe of classical or quantum lattice model simulators, such that the proposed edge states may be useful for applications including waveguiding in metamaterials and quantum transport.

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