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The Decoherence-Free Subalgebra of Gaussian Quantum Markov Semigroups

Agredo, Julián; Fagnola, Franco; Poletti, Damiano (2022-06-03)

We demonstrate a method for finding the decoherence-free subalgebra N(T) of a Gaussian quantum Markov semigroup on the von Neumann algebra B(Γ(Cd)) of all bounded operator on the Fock space Γ(Cd) on Cd . We show that ...
A possible predictive mathematical model for the growth of a periphytic alga

Agredo, Julián; J, Cárdenas Poblador; M L, Ortiz Moreno; A, Vega Moreno (San José de Cúcuta, Colombia, 2022)

Algae are photosynthetic organisms and have qualities that are very attractive for cultivation and industrial development for commercial purposes. When algal growth is analyzed for the production of biomass usually only ...

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The Decoherence-Free Subalgebra of Gaussian Quantum Markov Semigroups
...
Agredo, Julián | 2022-06-03

We demonstrate a method for finding the decoherence-free subalgebra N(T) of a Gaussian quantum Markov semigroup on the von Neumann algebra B(Γ(Cd)) of all bounded operator on the Fock space Γ(Cd) on Cd . We show that N(T) is a type I von Neumann algebra L∞(Rdc;C)⊗¯¯¯¯B(Γ(Cdf)) determined, up to unitary equivalence, by two natural numbers dc,df≤d . This result is illustrated by some applications and examples.

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A possible predictive mathematical model for the growth of a periphytic alga
...
Agredo, Julián | 2022

Algae are photosynthetic organisms and have qualities that are very attractive for cultivation and industrial development for commercial purposes. When algal growth is analyzed for the production of biomass usually only the exponential phase of the growth curve is considered and the other phases are ignored. The objective of the work is to present a possible predictive mathematical model that allows a better understanding of the kinetic behavior of a periphytic microalgae by means of the use of the Smoluchowski discrete equation, with special emphasis on the lag phase. More specifically, unknown connection between the discrete Smoluchowski equation and the deterministic Baranyi model is shown in the present study. Analysis of this connection leads to a possible predictive mathematical model about of the kinetic behavior of a periphytic microalgae.

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