Dissipation-induced d-wave pairing of fermionic atoms in an optical lattice

Diehl, S. and Yi, W. and Daley, Andrew and Zoller, P. (2010) Dissipation-induced d-wave pairing of fermionic atoms in an optical lattice. Physical Review Letters, 105 (22). ISSN 0031-9007

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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.