TY  - JOUR
A1  - Lee, Ching Hua
A1  - Papić, Zlatko
A1  - Thomale, Ronny
T1  - Geometric construction of quantum Hall clustering Hamiltonians
JF  - Physical Review X
N2  - Many fractional quantum Hall wave functions are known to be unique highest-density zero modes of certain "pseudopotential" Hamiltonians. While a systematic method to construct such parent Hamiltonians has been available for the infinite plane and sphere geometries, the generalization to manifolds where relative angular momentum is not an exact quantum number, i.e., the cylinder or torus, remains an open problem. This is particularly true for non-Abelian states, such as the Read-Rezayi series (in particular, the Moore-Read and Read-Rezayi Z\(_3\) states) and more exotic nonunitary (Haldane-Rezayi and Gaffnian) or irrational (Haffnian) states, whose parent Hamiltonians involve complicated many-body interactions. Here, we develop a universal geometric approach for constructing pseudopotential Hamiltonians that is applicable to all geometries. Our method straightforwardly generalizes to the multicomponent SU(n) cases with a combination of spin or pseudospin (layer, subband, or valley) degrees of freedom. We demonstrate the utility of our approach through several examples, some of which involve non-Abelian multicomponent states whose parent Hamiltonians were previously unknown, and we verify the results by numerically computing their entanglement properties.
KW  - wave functions
KW  - Landau level
KW  - states
KW  - excitations
KW  - fluid
Y1  - 2015
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:20-opus-145233
VL  - 5
IS  - 4
ER  - 
TY  - JOUR
A1  - Brüning, Christoph
A1  - Wehner, Johannes
A1  - Hausner, Julian
A1  - Wenzel, Michael
A1  - Engel, Volker
T1  - Exciton dynamics in perturbed vibronic molecular aggregates
JF  - Structural Dynamics
N2  - A site specific perturbation of a photo-excited molecular aggregate can lead to a localization of excitonic energy. We investigate this localization dynamics for laser-prepared excited states. Changing the parameters of the electric field significantly influences the exciton localization which offers the possibility for a selective control of this process. This is demonstrated for aggregates possessing a single vibrational degree of freedom per monomer unit. It is shown that the effects identified for the molecular dimer can be generalized to larger aggregates with a high density of vibronic states.
KW  - absorption spectra
KW  - excited states
KW  - polymers
KW  - excitons
KW  - wave functions
Y1  - 2016
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:20-opus-126085
VL  - 3
ER  -