A single-particle dark state in a dissipating spin chain induces universal long-time many-body dynamics with momentum distribution scaling as k sqrt(t) and density decaying as 1/(sqrt(t) log t).
The spin correlation function is given byC(j)≡ ⟨σ + j+lσ− l ⟩which can be written in terms of fermions as C(j)≡ * ˆc† j j−1Y l=1 (−1)ˆc† l ˆclˆc0 + .(S.78) 19 (a) (b) (c) FIG
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Universal dynamics from a single-particle dark state
A single-particle dark state in a dissipating spin chain induces universal long-time many-body dynamics with momentum distribution scaling as k sqrt(t) and density decaying as 1/(sqrt(t) log t).