Singlet Mott State Simulating the Bosonic Laughlin Wave Function

Abstract

We study properties of a class of spin singlet Mott states for arbitrary spin S bosons on a lattice, with particle number per cite n=S/l+1, where l is a positive integer. We show that such a singlet Mott state can be mapped to a bosonic Laughlin wave function on the sphere with a finite number of particles at filling ν=1/2l. Spin, particle and hole excitations in the Mott state are discussed, among which the hole excitation can be mapped to the quasi-hole of the bosonic Laughlin wave function. We show that this singlet Mott state can be realized in a cold atom system on optical lattice, and can be identified using Bragg spectroscopy and Stern-Gerlach techniques. This class of singlet Mott states may be generalized to simulate bosonic Laughlin states with filling ν=q/2l.

5 pages, 1 figure

References in corpus (9)

• Bose-Einstein Condensation of Erbium
• Integer quantum Hall effect for bosons: A physical realization
• Competing orders in one dimensional spin 3/2 fermionic systems
• Classifying Novel Phases of Spinor Atoms
• Phases and Transitions in the Spin-1 Bose-Hubbard Model: Systematics of a Mean-field Theory
• Spin-1 bosons with coupled ground states in optical lattices
• Searching for Non-Abelian Phases in the Bose-Einstein Condensate of Dysprosium
• Symmetry and inert states of spin Bose Condensates
• First- and second-order superfluid--Mott-insulator phase transitions of spin-1 bosons with coupled ground states in optical lattices

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