Abstract
Particle loss is the ultimate challenge for preparation of strongly
correlated many-body states of photons. An established way to overcome
the loss is to employ a stabilization setup that autonomously injects
new photons in place of the lost ones. However, as we show, the
effectiveness of such a stabilization setup is compromised for
fractional quantum Hall states. There, a hole formed by a lost photon
can separate into several remote quasiholes none of which can be
refilled by injecting a photon locally. By deriving an exact expression
for the steady-state density matrix, we demonstrate that isolated
quasiholes proliferate in the steady state which damages the quality of
the state preparation. The motion of quasiholes leading to their
separation is allowed by a repeated process in which a photon is first
lost and then quickly refilled in the vicinity of the quasihole. We
develop the theory of this dissipative quasihole dynamics and show that
it has diffusive character. Our results demonstrate that
fractionalization might present an obstacle for both creation and
stabilization of strongly-correlated states with photons.
Subject
General Physics and Astronomy
Cited by
2 articles.
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