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15 papers · 1 filter
Spin chain description of rotating bosons at
Emma Wikberg, Emil J. Bergholtz, Anders Karlhede
We consider bosons at Landau level filling on a thin torus. In analogy with previous work on fermions at filling , we map the low-energy sector onto a spin-1/2 chain.…
Quantum Hall Circle
E. J. Bergholtz, A. Karlhede
We consider spin-polarized electrons in a single Landau level on a cylinder as the circumference of the cylinder goes to infinity. This gives a model of interacting electrons on a…
Dissipation in circuit quantum electrodynamics: lasing and cooling of a low-frequency oscillator
Julian Hauss, Arkady Fedorov, Stephan André +6
Superconducting qubits coupled to electric or nanomechanical resonators display effects previously studied in quantum electrodynamics (QED) and extensions thereof. Here we study a…
Degeneracy of non-abelian quantum Hall states on the torus: domain walls and conformal field theory
Eddy Ardonne, Emil J. Bergholtz, Janik Kailasvuori +1
We analyze the non-abelian Read-Rezayi quantum Hall states on the torus, where it is natural to employ a mapping of the many-body problem onto a one-dimensional lattice model. On t…
Hierarchy wave functions--from conformal correlators to Tao-Thouless states
E. J. Bergholtz, T. H. Hansson, M. Hermanns +2
Laughlin's wave functions, describing the fractional quantum Hall effect at filling factors , can be obtained as correlation functions in conformal field theory, and re…
Quantum Hall system in Tao-Thouless limit
E. J. Bergholtz, A. Karlhede
We consider spin-polarized electrons in a single Landau level on a torus. The quantum Hall problem is mapped onto a one-dimensional lattice model with lattice constant , wh…