Rabi splitting and optical Kerr nonlinearity of quantum dot mediated by Majorana fermions

Abstract

Majorana fermions (MFs), due to their significance in fundamental physics and potential applications in topological quantum computation based on solid-state devices, have drawn widespread attention. Here, we design a hybrid semiconductor/superconductor ring (S/SR) device and put forward an optical method for detecting a pair of MFs in the S/SR device with a quantum dot (QD) with the popular optical pump-probe scheme, which is very different from the present electrical method only considering one nearby MF coupled to the QD. The symmetric and unsymmetric Rabi splitting and optical Kerr nonlinear effect of QD mediated by MFs are investigated under uncoupled and coupled majorana modes, respectively. The coherent optical spectra indicate that a pair of MFs coupled to the QD induced remarkable splitting under different parameters regime and the physical origin of these phenomena are elaborated detailedly. Due to QD-MFs coupling, the probe absorption spectra present the phenomenon of Majorana modes induced transparency (MMIT) which will induce remarkable phenomena of slow light. The coherent optical spectra afford a potential supplement for probing MFs and support Majorana fermions-based topological quantum computation.

Probing Majorana bound states via a pn-junction containing a quantum dot

“…Here, we propose another route that has so far been less explored, namely to use an interface between Majorana bound states (MBSs) and an optically active quantum dot (QD). Unlike recently suggested spin-insensitive dipole-dipole coupling of driven excitons coupled to MBSs [55][56][57] our effects rely on a tunnel-coupled spinsplit QD in the absence of external electric driving fields. We note that another related idea, considers the direct coupling of two Majorana nanowires forming a lightemitting fractional Josephson junction without access to the spinor wave functions [44].…”

Room temperature nonlinear mass sensing based on a hybrid spin-nanoresonator system*

“…In the rotation coordinate transform with pump field frequency ω pu , we can obtain the whole Hamiltonian of the system as [54] H = h∆ pu S z + hω n a † a + hg 0 (a † + a)S z − hΩ (S + + S − ) − µE pr (S + e −iδt + S − e iδt ), (1) where ∆ pu = ω e − ω pu is the detuning between the electron spin and the pump field, and δ = ω pr − ω pu is the probe-pump detuning. For simplicity of calculations, we change the intensity of pump field E pu into the Rabi frequency of the pump 107801-2 field Ω = µE pu /h.…”

Reshaping the Jaynes-Cummings ladder with Majorana bound states

“…While tunneling spectroscopic properties of hybrid QD-Majorana nanowires have been extensively studied over the last years, their optical properties did not attract any substantial attention, although some works in this field have started to appear [28][29][30][31][32][33][34][35][36][37][38][39]. On the other hand, individual QDs are widely applied in optical quantum information processing, where they can be used as solid state source of single photons [40], entangled photon pairs on demand [41][42][43], and other types of non-classical light [44][45][46], as well as quantum filters [47][48][49] and other building blocks of quantum integrated photonic circuits [50][51][52].…”