Accessing the degree of Majorana nonlocality in a quantum dot-optical microcavity system

Ricco, L. S.; Kozin, V. K.; Seridonio, A. C.; Shelykh, I. A.

doi:10.1038/s41598-022-05855-y

Cited by 10 publications

(5 citation statements)

References 62 publications

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“…This case qualitatively emulates MBSs with partial spatial separation between them, which can appear due to inhomogeneous potentials in the nanowire [24,71]. Moreover, the finite value of λ R is associated with the degree of Majorana nonlocality [23,37], also known as topological quality factor [25,26].…”

Section: A the Hamiltonianmentioning

confidence: 79%

“…The Hamiltonian which describes the topological superconducting nanowire (Majorana nanowire) sidecoupled to the excited QD state reads [21,23,26,37,67]:…”

Section: A the Hamiltonianmentioning

confidence: 99%

“…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].…”

Section: Introductionmentioning

confidence: 99%

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Reshaping the Jaynes-Cummings ladder with Majorana bound states

Ricco,

Kozin,

Seridonio

et al. 2022

Preprint

Self Cite

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We study the optical properties of a hybrid device composed by a quantum dot (QD) resonantly coupled to a photonic mode of an optical microcavity and a Majorana nanowire: a topological superconducting segment hosting Majorana bound states (MBSs) at the opposite ends. In the regime of strong light-matter coupling, it is demonstrated that the leakage of the Majorana mode into the QD opens new optical transitions between polaritonic states formed due to hybridisation of material excitation with cavity photons, which leads to the reshaping of the Jaynes-Cummings ladder and can lead to the formation of a robust single-peak at cavity eigenfrequency in the emission spectrum. Moreover, weak satellite peaks in the low and high frequency regions are revealed for the distinct cases of highly isolated MBSs, overlapped MBSs and MBSs not well localized at the nanowire ends.

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Section: A the Hamiltonianmentioning

confidence: 79%

“…The Hamiltonian which describes the topological superconducting nanowire (Majorana nanowire) sidecoupled to the excited QD state reads [21,23,26,37,67]:…”

Section: A the Hamiltonianmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Reshaping the Jaynes-Cummings ladder with Majorana bound states

Ricco,

Kozin,

Seridonio

et al. 2022

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…This study is potentially relevant for many body systems, where a given subsystem can be coupled to a large set of states corresponding to the surrounding bodies [ 7 ]. Quantum dots coupled to nano-wires are a promising platform for implementing low-dimensional systems coupled to FQCs [ 34 , 35 ]. This work also paves the way for the emulation of non-Hermitian dynamics with a finite set of states.…”

Section: Discussionmentioning

confidence: 99%

Emulating Non-Hermitian Dynamics in a Finite Non-Dissipative Quantum System

Flament,

Impens,

Guéry-Odelin

2023

Entropy

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We discuss the emulation of non-Hermitian dynamics during a given time window using a low-dimensional quantum system coupled to a finite set of equidistant discrete states acting as an effective continuum. We first emulate the decay of an unstable state and map the quasi-continuum parameters, enabling the precise approximation of non-Hermitian dynamics. The limitations of this model, including in particular short- and long-time deviations, are extensively discussed. We then consider a driven two-level system and establish criteria for non-Hermitian dynamics emulation with a finite quasi-continuum. We quantitatively analyze the signatures of the finiteness of the effective continuum, addressing the possible emergence of non-Markovian behavior during the time interval considered. Finally, we investigate the emulation of dissipative dynamics using a finite quasi-continuum with a tailored density of states. We show through the example of a two-level system that such a continuum can reproduce non-Hermitian dynamics more efficiently than the usual equidistant quasi-continuum model.

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“…Details on the experimental detection of MBSs via transport characteristics measurements have been reported elsewhere [ 8 , 41 , 42 , 43 , 44 , 45 , 46 , 47 , 48 ]. The photon-assisted transport properties of QD–MBS setups have been studied in the literature both theoretically [ 49 , 50 , 51 , 52 , 53 ] and experimentally [ 54 ].…”

Section: Introductionmentioning

confidence: 99%

Phonon-Assisted Tunneling through Quantum Dot Systems Connected to Majorana Bound States

et al. 2023

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We theoretically analyze phonon-assisted tunneling transport in a quantum dot side connected to a Majorana bound state in a topological superconducting nanowire. We investigate the behavior of the current through the dot, for a range of experimentally relevant parameters, in the presence of one long-wave optical phonon mode. We consider the current-gate voltage, the current-bias voltage and the current-dot–Majorana coupling characteristics under the influence of the electron–phonon coupling. In the absence of electron–phonon interaction, the Majorana bound states suppress the current when the gate voltage matches the Fermi level, but the increase in the bias voltage counteracts this effect. In the presence of electron–phonon coupling, the current behaves similarly as a function of the renormalized gate voltage. As an added feature at large bias voltages, it presents a dip or a plateau, depending on the size of the dot–Majorana coupling. Lastly, we show that the currents are most sensitive to, and depend non-trivially on the parameters of the Majorana circuit element, in the regime of low temperatures combined with low voltages. Our results provide insights into the complex physics of quantum dot devices used to probe Majorana bound states.

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Accessing the degree of Majorana nonlocality in a quantum dot-optical microcavity system

Cited by 10 publications

References 62 publications

Reshaping the Jaynes-Cummings ladder with Majorana bound states

Reshaping the Jaynes-Cummings ladder with Majorana bound states

Emulating Non-Hermitian Dynamics in a Finite Non-Dissipative Quantum System

Phonon-Assisted Tunneling through Quantum Dot Systems Connected to Majorana Bound States

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