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(49) With this, we can write a general solution for the dy- namics of any, even non-Gaussian, initial state ˆρ(0)

(47) Defining Γ(t)= (γ− ˆx ˆp− γ ˆX γ ˆY − γ ˆN γ ˆY + γ ˆN γ− ˆx ˆp+ γ ˆX ) , (48) 7 the time evolution of EG(t)= (D(t)⊕ v(t))⊕S M(t) is d dt M = ΓM, d dt D = ( γ+ ˆp ˆp −γ+ ˆx ˆp/2 −γ+ ˆx ˆp/2 γ+ ˆxˆx )+ ΓD+ DΓ⊺, d dt v= (−γ ˆp γˆx )+ Γv

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Gaussian Open Quantum Dynamics and Isomorphism to Superconformal Symmetry

quant-ph · 2025-07-07 · conditional · novelty 7.0

The Gaussian-preserving superoperator algebra for n bosonic modes is R^{2n^2+3n} semidirect gl(2n,R), giving an exact Wigner-function solution of quadratic Redfield dynamics and an isomorphism to the 3D N=1 superconformal algebra for a single mode.

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  • Gaussian Open Quantum Dynamics and Isomorphism to Superconformal Symmetry quant-ph · 2025-07-07 · conditional · none · ref 5

    The Gaussian-preserving superoperator algebra for n bosonic modes is R^{2n^2+3n} semidirect gl(2n,R), giving an exact Wigner-function solution of quadratic Redfield dynamics and an isomorphism to the 3D N=1 superconformal algebra for a single mode.