2012/10/26 by Emma Wikberg, Wikberg, Emma
Chemistry · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #FOS: Physical sciences #Quantum Gases (cond-mat.quant-gas) #Quantum Physics (quant-ph) #Quantum and electron transport phenomena #Quantum chaos and dynamical systems #Strongly Correlated Electrons (cond-mat.str-el) #cond-mat.quant-gas #cond-mat.str-el #quant-ph
paper · pdf · doi:10.48550/arxiv.1210.7162
8 pages, 1 figure
arxiv created 2012/10/26 · openalex publication_date 2012/10/26 · arxiv updated 2012/10/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study a 1D lattice Hamiltonian, relevant for a wide range of interesting physical systems like, e.g., the quantum-Hall system, cold atoms or molecules in optical lattices, and TCNQ salts. Through a tuning of the interaction parameters and a departure from a strictly convex interaction, nontrivial ground-state degeneracies and fractionally charged excitations emerge. The excitations, being a generalization of the fractional charges known from the fractional quantum-Hall effect, appear as domain walls between inequivalent ground states and carry the charge +e/mq or -e/mq, where m is an integer and associated with the specified interaction, and v = p/q is the filling fraction in the lattice. The description points at an interesting resemblance to states connected to non-Abelian statistics, which is central for the concept of topological quantum computing.