Spectral density of interacting pairs in low-dimensional finite lattices

Abstract

The spectral density of bound pairs in ideal 1D, 2D and Bethe lattices is computed for weak and strong interactions. The computations are performed with Green's functions by an efficient recursion method in real space. For the range of interaction strengths within which bound states are predominantly single pairs, the spectral profiles guide to the energy bandwidths where the bound pairs can be maximized.

7 pages, 3 figures

References in corpus (8)

• The density-matrix renormalization group in the age of matrix product states
• Quantum walks of correlated particles
• Tunable gauge potential for neutral and spinless particles in driven lattices
• Repulsively bound atom pairs in an optical lattice
• Universal computation by multi-particle quantum walk
• Strongly Correlated Quantum Walks in Optical Lattices
• Two-particle states in the Hubbard model
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