Master-equation approach to the three-state open Majorana model

Abstract

The three-state Majorana model in the presence of dissipation is considered. Different models of system-environment interaction are explored, ranging from situation where dissipation is the main effect to regimes where dephasing is mainly produced. It is shown that the detrimental effects of the noise are stronger in the presence of dissipation than in the presence of dephasing. The role of temperature is also discussed.

Open multistate Majorana model

“…Nevertheless, as already pointed out in Ref. [55], the presence of quantum noise implies transitions also to other states, which inevitably prevent the possibility to deduce an effective two-state model.…”

“…II we generalize the theoretical treatment exploited for the spin-1 case in Ref. [55] and analyze the dependence of the efficiency on the value of j, showing that a higher value of j implies a lower efficiency. Moreover, in Sec.…”

“…Efficiency of the population transfer -A detailed analysis of the effects of quantum noise for the spin-1 (ot three-state) Majorana model has been developed in Ref. [55], where an extensive comparison of the effects induced by dephasing or by dissipation has been carried out. The dissipation has been proven to jeopardize the population transfer more than the dephasing.…”

“…There is also another way to think about a multistate Majorana model as an effective two-state model (see Refs. [55,62]). Indeed, in some cases it is possible to identify some instantaneous Hamiltonian eigenstates which can be expressed as superpositions of two static states, with time-dependent coefficients.…”

“…Specifically for the Majorana model, a dissipative version involving a non-Hermitian Hamiltonian including a probability loss has been analyzed [54]. Very recently, the three-state (or spin-1) Majorana model in the presence of quantum noise has been studied via a master equation approach, comparing the roles of decoherence and dissipation [55], and showing that the dephasing is less detrimental than dissipation.…”