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Manuscript Em03-C@1 · Em03-C-v1.tex · figure · 47dd71ec

One temporal port, two memories

A shared-port two-memory capture construction › Matrix synthesis · lines 1246–1261

Em03-C@1#fig:port

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Incoming port
u(t)u(t)
λ(t)=τ G−1q\lambda(t)=\sqrt\tau\, G^{-1}q
q=(f‾1,f‾2)Tq=(\overline f_1,\overline f_2)^{\mathsf T}
Memories z∈C2z\in\mathbb C^2
z˙=Cz+λu\dot z=Cz+\lambda u
Ω=(C−C†)/(2i)\Omega=(C-C^\dagger)/(2i)
off-diagonal mixing kept
Final amplitudes
1−τ ca+τ a(f^i)\sqrt{1-\tau}\,c_a+\sqrt\tau\, a(\widehat f_i)

One temporal port, two memories. Passivity is . The drawing is the proved one-particle synthesis, not a laboratory capture trace.

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