In some recent papers, the so called (H, rho)-induced dynamics of a system S whose time evolution is deduced adopting an operatorial approach, has been introduced. According to the formal mathematical apparatus of quantum mechanics, H denotes the Hamiltonian for S, while rho is a certain rule applied periodically on S. In this approach the rule acts at specific times k tau, with k integer and tau fixed, by modifying some of the parameters entering H according to the state variation of the system. As a result, a dynamics admitting an asymptotic equilibrium state can be obtained. Here, we consider the limit for tau -> O, so that we introduce a generalized model leading to asymptotic equilibria. Moreover, in the case of a two-mode fermionic model, we are able to derive a relation linking the parameters involved in the Hamiltonian to the asymptotic equilibrium states.

Generalized Hamiltonian for a two-mode fermionic model and asymptotic equilibria

Di Salvo, Rosa
Primo
Membro del Collaboration Group
;
Gorgone, Matteo
Secondo
Membro del Collaboration Group
;
Oliveri, Francesco
Ultimo
Membro del Collaboration Group
2020-01-01

Abstract

In some recent papers, the so called (H, rho)-induced dynamics of a system S whose time evolution is deduced adopting an operatorial approach, has been introduced. According to the formal mathematical apparatus of quantum mechanics, H denotes the Hamiltonian for S, while rho is a certain rule applied periodically on S. In this approach the rule acts at specific times k tau, with k integer and tau fixed, by modifying some of the parameters entering H according to the state variation of the system. As a result, a dynamics admitting an asymptotic equilibrium state can be obtained. Here, we consider the limit for tau -> O, so that we introduce a generalized model leading to asymptotic equilibria. Moreover, in the case of a two-mode fermionic model, we are able to derive a relation linking the parameters involved in the Hamiltonian to the asymptotic equilibrium states.
2020
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11570/3146406
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