Cavity quantum electrodynamics with mesoscopic topological superconductors

Dmytruk, Olesia; Trif, Mircea; Simon, Pascal

doi:10.1103/physrevb.92.245432

Cited by 62 publications

(61 citation statements)

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“…The latter method is particularly interesting as it allows to access also the exited states of the junction. There are several theoretical works that study the interplay of the Majorana fermions physics and microwaves in a superconducting cavity QED setup [24][25][26][27][28][29][30][31][32][33][34] . In contrast to the usual electronic methods, this approach is unique in that it can be totally non-invasive, i.e.…”

Section: Introductionmentioning

confidence: 99%

Josephson effect in topological superconducting rings coupled to a microwave cavity

2016

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We theoretically study a one dimensional p-wave superconducting mesoscopic ring interrupted by a weak link and coupled inductively to a microwave cavity. We establish an input-output description for the cavity field in the presence of the ring, and identify the electronic contributions to the cavity response and their dependence on various parameters, such as the magnetic flux, chemical potential, and cavity frequency. We show that the cavity response is 4π periodic as a function of the magnetic flux in the topological region, stemming from the so called fractional Josephson current carried by the Majorana fermions, while it is 2π periodic in the non-topological phase, consistent with the normal Josephson effect. We find a strong dependence of the signal on the cavity frequency, as well as on the parity of the ground state. Our model takes into account fully the interplay between the low-energy Majorana modes and the gaped bulks states, which we show is crucial for visualizing the evolution of the Josephson effect during the transition from the topological to the trivial phase.

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Section: Introductionmentioning

confidence: 99%

Josephson effect in topological superconducting rings coupled to a microwave cavity

2016

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“…It was observed that the quantum shot noise of the coherent conductor under the ac-bias can squeeze the photonic field [35]. Recent theoretical studies [14] indicate that in the limit when the charge susceptibility is small, i.e. |Π(ω)| ≪ κ, the ratio Π ′ (ω)/κ aproximates the phase shift and Π ′′ (ω)/κ corresponds to the cavity peak broadening, where the primed and double-primed quantities are the real and imaginary parts of the charge susceptibility.…”

Section: Microwave Probed Cavitymentioning

confidence: 99%

“…This is a well suited approximation for the tunneling junctions [22] or QDs [12,14] coupled to normal leads as long as the inter-level energy spacing of the electronic system δ l ≪ ω 0 , otherwise the decoupling of the photons from the QD is no longer possible, and the electronic transport is affected [18,19]. This condition is not satisfied in our setup, as the energy of the excited Shiba states inside the superconding gap, E S ∼ ω 0 , so decoupling the photons from the QD is not possible.…”

Section: A Model Hamiltonianmentioning

confidence: 99%

“…(ii) The electron-photon interaction is the second channel of decay [8,14]. Besides the dissipative effects [34], it can also cause a shift of the resonance frequency.…”

Section: Microwave Probed Cavitymentioning

confidence: 99%

“…So far, the coupling between mesoscopic systems and microwave resonators has been studied by either neglecting the repulsive interaction between electrons [13][14][15][16], by modeling the device as a two-level system [10], or employing various other approximations [17][18][19].…”

Section: Introductionmentioning

confidence: 99%

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Transmission of a microwave cavity coupled to localized Shiba states

Chirla¹,

Manolescu²,

Moca³

2016

Phys. Rev. B

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We consider a strongly correlated quantum dot, tunnel coupled to two superconducting leads and capacitively coupled to a single mode microwave cavity. When the superconducting gap is the largest energy scale, multiple Shiba states are formed inside the gap. The competition of these states for the ground state signals a quantum phase transition. We demonstrate that photonic measurements can be used to probe such localized Shiba states. Moreover, the quantum phase transition can be pinpointed exactly from the sudden change in the transmission signal. Calculations were performed using the numerical renormalization group approach.

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Dynamics of a Majorana Trijunction in a Microwave Cavity

Trif

Simon

2019

Adv Quantum Tech

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A trijunction made of three topological semiconducting wires, each supporting a Majorana bound state (MBS) at its two extremities, appears as one of the simplest geometries in order to perform braiding of Majorana fermions. Embedding the trijunction into a microwave cavity allows to study the intricate dynamics of the low‐energy MBSs coupled to the cavity electric field under a braiding operation. Extending a previous work [Phys. Rev. Lett. 2019, 122, 236803], the full time evolution of the density matrix of the low‐energy states, including various relaxation channels, is computed both in the adiabatic regime, as well as within the Floquet formalism in the case of periodic driving. It turns out that in the stationary state the observables of the system depend on both the parity of the ground state and on the non‐Abelian Berry phase acquired during braiding. The average photon number and the second‐order photon coherence function g(2)(0) are explicitly evaluated and reveal the accumulated non‐Abelian Berry phase during the braiding process.

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Cavity quantum electrodynamics with mesoscopic topological superconductors

Cited by 62 publications

References 50 publications

Josephson effect in topological superconducting rings coupled to a microwave cavity

Josephson effect in topological superconducting rings coupled to a microwave cavity

Transmission of a microwave cavity coupled to localized Shiba states

Dynamics of a Majorana Trijunction in a Microwave Cavity

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