Dissipation-induced d-Wave Pairing of Fermionic Atoms in an Optical Lattice

TL;DR

This paper demonstrates how engineered dissipative processes can induce d-wave pairing in fermionic atoms on an optical lattice, enabling the preparation of specific quantum states through reservoir engineering without conservative forces.

Contribution

It introduces a method to generate pairing states, like d-wave, via dissipative dynamics using a specially designed Liouvillian operator in cold atom systems.

Findings

Dissipative dynamics can produce d-wave pairing in fermionic lattices.

A 'parent' Liouvillian operator can steer the system to desired pairing states.

Reservoir engineering enables realization of these dissipative processes in cold atom setups.

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 quasi-local 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.