Emerging bosons with three-body interactions from spin-1 atoms in optical lattices
- Max-Planck-Institut fuer Quantenoptik, Hans-Kopfermann-Strasse 1, D-85748 Garching (Germany)
- ICFO-Institut de Ciencies Fotoniques, Parc Mediterrani de la Tecnologia, E-08860 Castelldefels (Barcelona) (Spain)
We study two many-body systems of bosons interacting via an infinite three-body contact repulsion in a lattice: a pairs quasicondensate induced by correlated hopping and the discrete version of the Pfaffian wave function. We propose to experimentally realize 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 a filling factor of 1. 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, that is, the transition to a pairs quasicondensed phase of the emerging bosons. We also report on a route toward the realization of a discrete bosonic Pfaffian wave function and list some open problems for reaching this goal.
- OSTI ID:
- 21456990
- Journal Information:
- Physical Review. A, Vol. 82, Issue 4; Other Information: DOI: 10.1103/PhysRevA.82.043629; (c) 2010 The American Physical Society; ISSN 1050-2947
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
APPROXIMATIONS
ATOMS
BOSONS
DEGREES OF FREEDOM
HAMILTONIANS
INTERACTIONS
INTERATOMIC FORCES
RAMAN EFFECT
SPIN
SPIN ORIENTATION
SU-2 GROUPS
SUPERLATTICES
THREE-BODY PROBLEM
WAVE FUNCTIONS
ANGULAR MOMENTUM
CALCULATION METHODS
FUNCTIONS
LIE GROUPS
MANY-BODY PROBLEM
MATHEMATICAL OPERATORS
ORIENTATION
PARTICLE PROPERTIES
QUANTUM OPERATORS
SU GROUPS
SYMMETRY GROUPS