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Engineering three-body interaction and Pfaffian states in circuit QED systems



Mohammad Hafezi, Prabin Adhikari, Jacob M. Taylor


We demonstrate a scheme to engineer the three-body interaction in circuit-QED systems by tuning a fluxonium qubit. Connecting such qubits in a square lattice and controlling the tunneling dynamics, in the form of a synthesized magnetic field, for the photon-like excitations of the system, allows the implementation of a parent Hamiltonian whose ground state is the Pfaffian wave function. Furthermore, we show that the addition of the next-nearest neighbor tunneling stabilizes the ground state, recovering the expected topological degeneracy even for small lattices. Finally, we discuss the implementation of these ideas with the current technology.
Physical Review Letters


three-body interaction, circuit-QED, non-abelian


Hafezi, M. , Adhikari, P. and Taylor, J. (2014), Engineering three-body interaction and Pfaffian states in circuit QED systems, Physical Review Letters, [online], (Accessed July 15, 2024)


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Created August 18, 2014, Updated November 10, 2018