Microwave quantum optics and electron transport through a metallic dot strongly coupled to a transmission line cavity

Abstract

We investigate theoretically the properties of the photon state and the electronic transport in a system consisting of a metallic quantum dot strongly coupled to a superconducting microwave transmission line cavity. Within the framework of circuit quantum electrodynamics we derive a Hamiltonian for arbitrary strong capacitive coupling between the dot and the cavity. The dynamics of the system is described by a quantum master equation, accounting for the electronic transport as well as the coherent, non-equilibrium properties of the photon state. The photon state is investigated, focusing on, for a single active mode, signatures of microwave polaron formation and the effects of a non-equilibrium photon distribution. For two active photon modes, intra mode conversion and polaron coherences are investigated. For the electronic transport, electrical current and noise through the dot and the influence of the photon state on the transport properties are at the focus. We identify clear transport signatures due to the non-equilibrium photon population, in particular the emergence of superpoissonian shot-noise at ultrastrong dot-cavity couplings.

Electroluminescence and multiphoton effects in a resonator driven by a tunnel junction

“…Below the onset of single-photon processes the transport current is suppressed by the coupling to the resonator. This effect is described by the Franck-Condon factor which renormalizes the tunneling rate 13 , by a factor (1 −…”

Thermoelectric energy harvesting with quantum dots

“…figure 18. Such hybrid structures that allow the investigation the interplay of light and matter at the nansocale have recently gained a lot of interest both theoretically [167,168,169,170,171,172,173,174,175,176,177] as well as experimentally [178,179,180,181,182,183,184,185,186] in the context of circuit quantum electrodynamics. Similar to the previously discussed energy harvester, the hybrid microwave cavity heat engine [57] also allows to separate the hot and the cold part of the engine by a macroscopic distance of the order of a centimeter.…”

Single-electron double quantum dot dipole-coupled to a single photonic mode

“…Recent theoretical work on coupling semiconductor quantum dots with superconducting transmission line resonators [1][2][3][4][5][6][7][8] has promised novel research avenues towards a well-controlled coherent interface between electronic quantum dot excitations and quantized microwave frequency fields. On the experimental side, pioneering experiments [9][10][11][12][13][14][15] have demonstrated electrical dipole coupling between electrons confined into quantum dots and the microwave photons stored into a resonator by measuring dispersive and dissipative effects in the resonant transmission of photons through the resonator.…”