Emerging Bosons with Three-Body Interactions from Spin-1 Atoms in Optical Lattices
arXiv:1007.2344 · doi:10.1103/PhysRevA.82.043629
Abstract
We study two many-body systems of bosons interacting via an infinite three-body contact repulsion in a lattice: a pairs quasi-condensate induced by correlated hopping and the discrete version of the Pfaffian wavefunction. We propose to experimentally realise systems characterized by such interaction by means of a proper spin-1 lattice Hamiltonian: spin degrees of freedom are locally mapped into occupation numbers of emerging bosons, in a fashion similar to spin-1/2 and hardcore bosons. Such a system can be realized with ultracold spin-1 atoms in a Mott Insulator with filling-factor one. The high versatility of these setups allows us to engineer spin-hopping operators breaking the SU(2) symmetry, as needed to approximate interesting bosonic Hamiltonians with three-body hardcore constraint. For this purpose we combine bichromatic spin-independent superlattices and Raman transitions to induce a different hopping rate for each spin orientation. Finally, we illustrate how our setup could be used to experimentally realize the first setup, i.e. the transition to a pairs quasi-condensed phase of the emerging bosons. We also report on a route towards the realization of a discrete bosonic Pfaffian wavefunction and list some open problems to reach this goal.
17 pages, 13 figures
References in corpus (18)
- Many-Body Physics with Ultracold Gases
- Non-Abelian Anyons and Topological Quantum Computation
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
- Evidence for deconfined quantum criticality in a two-dimensional Heisenberg model with four-spin interactions
- A Bose-Einstein Condensate in a Uniform Light-induced Vector Potential
- Quantum magnetism and criticality
- Strong dissipation inhibits losses and induces correlations in cold molecular gases
- Fractional Quantum Hall Effect in Optical Lattices
- Atomic three-body loss as a dynamical three-body interaction
- Precision measurement of spin-dependent interaction strengths for spin-1 and spin-2 87Rb atoms
- Atomic quantum simulator for lattice gauge theories and ring exchange models
- Composite Fermion Theory for Bosonic Atoms in Optical Lattices
- Exact Topological Quantum Order in D=3 and Beyond: Branyons and Brane-Net Condensates
- Practical scheme for a light-induced gauge field in an atomic Bose gas
- Pfaffian-like ground state for 3-body-hard-core bosons in 1D lattices
- Characterization of topological states on a lattice with Chern number
- Quantum Hall Systems: Braid groups, composite fermions, and fractional charge