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.
Genuine quantum advantage in non-linear bosonic quantum batteries
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Finding a quantum battery model that displays a genuine quantum advantage, while being prone to experimental fabrication, is an extremely challenging task. In this Letter we propose a deceptively simple quantum battery model that displays a genuine quantum advantage, saturating the quantum speed limit. It consists of two harmonic oscillators (the charger and the battery), coupled during the non-equilibrium charging dynamics by a non-linear interaction. We first present the model, then certify the genuine quantum advantage, and finally briefly discuss how the battery can be fabricated through the use of superconducting circuits.
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Gaussian Open Quantum Dynamics and Isomorphism to Superconformal Symmetry
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.