Dynamical creation of bosonic Cooper-like pairs

Abstract

We propose a scheme to create a metastable state of paired bosonic atoms in an optical lattice. The most salient features of this state are that the wavefunction of each pair is a Bell state and that the pair size spans half the lattice, similar to fermionic Cooper pairs. This mesoscopic state can be created with a dynamical process that involves crossing a quantum phase transition and which is supported by the symmetries of the physical system. We characterize the final state by means of a measurable two-particle correlator that detects both the presence of the pairs and their size.

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• Coherent states of composite bosons
• Metrological usefulness of entanglement and nonlinear Hamiltonians
• Generating scalable entanglement of ultracold bosons in superlattices through resonant shaking
• Efficient approximation for global functions of matrix product operators
• Higgs Boson Mass predicted by the Four Color Theorem