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.
- dissipative dynamics
- fermionic atoms
- optical lattice
Diehl, S., Yi, W., Daley, A., & Zoller, P. (2010). Dissipation-induced d-wave pairing of fermionic atoms in an optical lattice. Physical Review Letters, 105(22), [227001 ]. https://doi.org/10.1103/PhysRevLett.105.227001