Lasing and transport in a multilevel double quantum dot system coupled to a microwave oscillator

Karlewski, Christian; Heimes, Andreas; Schön, Gerd

doi:10.1103/physrevb.93.045314

Cited by 15 publications

(13 citation statements)

References 34 publications

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“…Existing literature typically treats electron-lead coupling in a perturbative manner (such as the Born-Markov approximation) [17,[32][33][34][35][36], further enforcing the source-drain voltage to be very high, thereby incorporating only sequential, uni-directional electron transfer across the dots. Using such approaches one potentially misses important features in the optical and electronic signals, the result of finite bias voltage and strong dot-lead couplings.…”

Section: Introductionmentioning

confidence: 99%

Tunable photonic cavity coupled to a voltage-biased double quantum dot system: Diagrammatic nonequilibrium Green's function approach

et al. 2016

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We investigate gain in microwave photonic cavities coupled to voltage-biased double quantum dot systems with an arbitrary strong dot-lead coupling and with a Holstein-like light-matter interaction, by adapting the diagrammatic Keldysh nonequilibrium Green's function approach. We compute out-of-equilibrium properties of the cavity: its transmission, phase response, mean photon number, power spectrum, and spectral function. We show that by the careful engineering of these hybrid light-matter systems, one can achieve a significant amplification of the optical signal with the voltage-biased electronic system serving as a gain medium. We also study the steady state current across the device, identifying elastic and inelastic tunnelling processes which involve the cavity mode. Our results show how recent advances in quantum electronics can be exploited to build hybrid light-matter systems that behave as microwave amplifiers and photon source devices. The diagrammatic Keldysh approach is primarily discussed for a cavity-coupled double quantum dot architecture, but it is generalizable to other hybrid light-matter systems.

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Section: Introductionmentioning

confidence: 99%

Tunable photonic cavity coupled to a voltage-biased double quantum dot system: Diagrammatic nonequilibrium Green's function approach

et al. 2016

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“…Recently, similar effects are demonstrated in the circuit quantum electrodynamics architecture, where a doublequantum-dot(DQD) or a superconducting qubit, which is constantly driven into an excited state by an external electric or magnetic bias, plays the role of an active media in the electromagnetic resonator formed in a superconducting transmission line [23][24][25][26][27][28][29][30][31][32] . In particular, it was theoretically predicted in Ref.…”

Section: Introductionmentioning

confidence: 87%

Lasing in a coupled hybrid double quantum dot-resonator system

Tabatabaei

Jahangiri

2020

Phys. Rev. B

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We theoretically investigate the possibility of lasing in an electromagnetic resonator coupled to a voltage-biased hybrid-double-quantum-dot comprised of a double-quantum-dot tunnel coupled simultaneously to a normal metal and a superconducting lead. Using a unitary transformation, we derive a resonator-double-quantum-dot interaction Hamiltonian in the rotating wave approximation which reveals the fact that lasing in this system is mediated by electron transitions between Andreev energy levels in the system's density of states. Moreover, by employing a markovian master equation incorporating dissipation effects for the electronic and photonic degrees of freedom, we numerically calculate the steady-state reduced density-matrix of the system from which we determine the average photon number and its statistics in the resonator in various parameter regimes. We find that at some appropriate parameter configurations, lasing can be considerably enhanced due to the possiblity of electron tansitions between multiple Andreev levels in the system.

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“…The reservoirs are assumed to be in thermal equilibrium and their electronic degrees of freedom are traced out. For weak enough coupling the resulting quantum master equation for the system of interest then takes the form [21][22][23][24][25][26]…”

Section: Quantum Master Equationmentioning

confidence: 99%

Transport signatures of a Majorana qubit and read-out-induced dephasing

Qin

Shnirman

et al. 2019

New J. Phys.

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Motivated by recent proposals of Majorana qubits and the read-out of their quantum state we investigate a qubit setup formed by two parallel topological wires shunted by a superconducting bridge. The wires are further coupled to two quantum dots, which are also linked directly, thus creating an interference loop. The transport current through this system shows an interference pattern which distinguishes two basis states of the qubit in a QND measurement. We analyze various properties of the interference current and the read-out process, including the resulting dephasing and relaxation. We also analyze the effects of varying control parameters such as gate voltages on the current. The characteristic dependencies may serve as a signature of Majorana bound states.

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Lasing and transport in a multilevel double quantum dot system coupled to a microwave oscillator

Cited by 15 publications

References 34 publications

Tunable photonic cavity coupled to a voltage-biased double quantum dot system: Diagrammatic nonequilibrium Green's function approach

Tunable photonic cavity coupled to a voltage-biased double quantum dot system: Diagrammatic nonequilibrium Green's function approach

Lasing in a coupled hybrid double quantum dot-resonator system

Transport signatures of a Majorana qubit and read-out-induced dephasing

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