748 citations
- D. Schaile7 profiles46 · h 87
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9 papers · 1 filter
A perturbative approach to inelastic collisions in a Bose-Einstein Condensate
R. B. Mann, M. B. Young, I. Fuentes-Schuller
It has recently been discovered that for certain rates of mode-exchange collisions analytic solutions can be found for a Hamiltonian describing the two-mode Bose-Einstein condensat…
Entanglement of Valence-Bond-Solid on an Arbitrary Graph
Ying Xu, Vladimir E Korepin
The Affleck-Kennedy-Lieb-Tasaki (AKLT) spin interacting model can be defined on an arbitrary graph. We explain the construction of the AKLT Hamiltonian. Given certain conditions, t…
Block Spin Density Matrix of the Inhomogeneous AKLT Model
Ying Xu, Hosho Katsura, Takaaki Hirano +1
We study the inhomogeneous generalization of a 1-dimensional AKLT spin chain model. Spins at each lattice site could be different. Under certain conditions, the ground state of thi…
Entanglement and Density Matrix of a Block of Spins in AKLT Model
Ying Xu, Hosho Katsura, Takaaki Hirano +1
We study a 1-dimensional AKLT spin chain, consisting of spins in the bulk and at both ends. The unique ground state of this AKLT model is described by the Valence-Bond-So…
Entanglement in an SU(n) Valence-Bond-Solid State
Hosho Katsura, Takaaki Hirano, Vladimir E. Korepin
We investigate entanglement properties in the ground state of the open/periodic SU() generalized valence-bond-solid state consisting of representations of SU(). We obtain exa…
Simple Algorithm for Partial Quantum Search
Vladimir E. Korepin, Lov K. Grover
Quite often in database search, we only need to extract portion of the information about the satisfying item. Recently Radhakrishnan & Grover [RG] considered this problem in the fo…