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

S. Diehl, W. Yi, Andrew Daley, P. Zoller

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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.
Original languageEnglish
Article number227001
Number of pages4
JournalPhysical Review Letters
Issue number22
Publication statusPublished - 22 Nov 2010


  • dissipative dynamics
  • fermions
  • lattice
  • fermionic atoms
  • optical lattice

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