This chapter, even considering a rather simple model, illustrates the (H, ρ) -induced dynamics approach, where H denotes the Hamiltonian for a system S, while ρ is a certain rule acting at specific times kτ (k integer and τ fixed), by modifying some of the parameters entering H according to the state variation of the system itself; the most important effect is that the dynamics approaches some asymptotic equilibrium state. We also consider the limit for τ→ 0, 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 initial parameters involved in the Hamiltonian to the asymptotic equilibrium states.

Dynamics with Asymptotic Equilibria

Oliveri F.
Ultimo
Membro del Collaboration Group
2023-01-01

Abstract

This chapter, even considering a rather simple model, illustrates the (H, ρ) -induced dynamics approach, where H denotes the Hamiltonian for a system S, while ρ is a certain rule acting at specific times kτ (k integer and τ fixed), by modifying some of the parameters entering H according to the state variation of the system itself; the most important effect is that the dynamics approaches some asymptotic equilibrium state. We also consider the limit for τ→ 0, 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 initial parameters involved in the Hamiltonian to the asymptotic equilibrium states.
2023
978-3-031-30279-4
978-3-031-30280-0
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11570/3272977
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