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

Rosa Di Salvo, Matteo Gorgone and Francesco Oliveri

Physica A: Statistical Mechanics and its Applications, 2020, vol. 540, issue C

Abstract: In some recent papers, the so called (H,ρ)-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 ρ is a certain rule applied periodically on S. In this approach the rule acts at specific times kτ, with k integer and τ 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 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 parameters involved in the Hamiltonian to the asymptotic equilibrium states.

Keywords: Operatorial models; (H,ρ)-induced dynamics; Generalized Hamiltonian; Heisenberg dynamics (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:540:y:2020:i:c:s0378437119317108

DOI: 10.1016/j.physa.2019.123032

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