Abstract
In quantum lattice systems with geometric frustration, particles cannot move coherently due to destructive interference between tunnelling processes. Here we show that purely local, Markovian dissipation can induce mobility and long-range first-order coherence in frustrated lattice systems that is entirely generated by incoherent processes. Interactions reduce the coherences and mobility but do not destroy them. These effects are observable in experimental implementations of driven-dissipative lattices with a flat band and non-uniform dissipation.
Highlights
The wave functions of a perfect crystal are described by Bloch states which are delocalized over the entire crystal
We demonstrate that local Markovian dissipation in a crystal with a flat band permits the transfer of excitations between independent frustrated states and generates coherences between these states
We have shown that local Markovian dissipation can induce mobility and long-range coherence in frustrated lattice systems in the absence of kinetic energy
Summary
The wave functions of a perfect crystal are described by Bloch states which are delocalized over the entire crystal. Frustration quenches the kinetic energy of the Bloch states resulting in a flat band with an infinite effective mass This macroscopic degeneracy allows localized wave functions to be constructed which are insulating stationary states of the system. We demonstrate that local Markovian dissipation in a crystal with a flat band permits the transfer of excitations between independent frustrated states and generates coherences between these states. The kinetic energy in the flat band is quenched due to geometric frustration This is clearly seen by writing Ht in a basis of Wannier states which are exponentially localized around the unit cell i.
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