title: Dissipation-induced d-wave pairing of fermionic atoms in an optical lattice.
abstract: We show how dissipative dynamics can give rise to pairing for two-component fermions on a lattice. In particular, we construct a parent Liouvillian operator so that a BCS-type state of a given symmetry, e.g., a d-wave state, is reached for arbitrary initial states in the absence of conservative forces. The system-bath couplings describe single-particle, number-conserving and quasilocal processes. The pairing mechanism crucially relies on Fermi statistics. We show how such Liouvillians can be realized via reservoir engineering with cold atoms representing a driven dissipative dynamics.
authors.affiliation: Institute for Quantum Optics and Quantum Information of the Austrian Academy of Sciences, A-6020 Innsbruck, Austria.
authors.forename: S
authors.initials: S
authors.lastname: Diehl
authors.forename: W
authors.initials: W
authors.lastname: Yi
authors.forename: A J
authors.initials: AJ
authors.lastname: Daley
authors.forename: P
authors.initials: P
authors.lastname: Zoller