Physical Review Letters · 2004 · 56 citations · 17 references
Spectral TheoryQuantum DynamicQuantum Lattice SystemEngineeringMany-body Quantum PhysicQuantum ComputingQuantum Mechanical PropertyQuantum TheoryQuantum EntanglementQuantum SciencePeriodic 1DPhysicsQuantum ChemistryDetailed Band StructureNatural SciencesCondensed Matter PhysicsDisordered Quantum SystemHubbard HamiltonianQuantum Signatures
The spectrum of the quantum discrete nonlinear Schrödinger equation, or boson Hubbard Hamiltonian, on a periodic 1D lattice shows some interesting detailed band structure, which may be interpreted as the quantum signature of a two-breather interaction in the classical case. This fine structure is studied using degenerate perturbation theory. We also present a modification to this model, which increases the mobility of bound states.
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