Double Quantum Dot Floquet Gain Medium

Stehlik, J.; Liu, Y.-Y.; Eichler, Christopher; Hartke, Thomas; Mi, Xiao; Gullans, Michael; Taylor, Jacob M.; Petta, J. R.

doi:10.1103/physrevx.6.041027

Cited by 38 publications

(54 citation statements)

References 48 publications

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“…For example, the same framework can be employed to study the recently observed enhancement of electron-phonon coupling in periodically distorted graphene [33] and driven opto-mechanical cavities [34][35][36][37].…”

Section: Introductionmentioning

confidence: 99%

Theory of parametrically amplified electron-phonon superconductivity

et al. 2017

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Ultrafast optical manipulation of ordered phases in strongly correlated materials is a topic of significant theoretical, experimental, and technological interest. Inspired by a recent experiment on light-induced superconductivity in fullerenes [Mitrano et al., Nature 530, 2016], we develop a comprehensive theory of light-induced superconductivity in driven electron-phonon systems with lattice nonlinearities. In analogy with the operation of parametric amplifiers, we show how the interplay between the external drive and lattice nonlinearities lead to significantly enhanced effective electron-phonon couplings. We provide a detailed and unbiased study of the nonequilibrium dynamics of the driven system using the real-time Green's function technique. To this end, we develop a Floquet generalization of the Migdal-Eliashberg theory and derive a numerically tractable set of quantum Floquet-Boltzmann kinetic equations for the coupled electron-phonon system. We study the role of parametric phonon generation and electronic heating in destroying the transient superconducting state. Finally, we predict the transient formation of electronic Floquet bands in time-and angle-resolved photoemission spectroscopy experiments as a consequence of the proposed mechanism.

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Section: Introductionmentioning

confidence: 99%

Theory of parametrically amplified electron-phonon superconductivity

et al. 2017

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“…We specifically consider a semiconductor doublequantum-dot (DQD) embedded on a substrate [8][9][10][11][12][13][14] which realize a charge qubit coupled to a phononic bath [15,16]. It has been previously demonstrated that properties of the DQD may be used to extract information about the phononic bath [8,9].…”

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confidence: 99%

“…The full Hamiltonian (Refs. [11,13,30]) is then given byĤ =Ĥ S +Ĥ SE +Ĥ E Phonons DQD ε / 2 ε/ 2 t c V Figure 1. Schematic depiction of two quantum dots detuned in energy by ε with inter-dot tunnelling tc and Coulomb repulsion V , interacting with a substrate supporting phononic excitations.…”

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confidence: 99%

“…[38,39] and citations therein). The DQD charge qubit provides an especially promising example, since the required parameter regime corresponds to current state-of-the-art experiments [10][11][12][13][14]. Future work will focus on a full characterization of thermodynamic properties of the setup including an analysis of the relation between irreversible entropy production and coherence [40,41] which will shed light on the thermodynamic cost of generating steady state coherence.…”

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confidence: 99%

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Tunable phonon-induced steady-state coherence in a double-quantum-dot charge qubit

et al. 2020

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Charge qubits can be created and manipulated in solid-state double-quantum-dot (DQD) platforms. Typically, these systems are strongly affected by quantum noise stemming from coupling to substrate phonons. This is usually assumed to lead to decoherence towards steady states that are diagonal in the energy eigenbasis. In this letter we show, to the contrary, that due to the presence of phonons the equilibrium steady state of the DQD charge qubit may be engineered to display coherence in the energy eigenbasis. The magnitude of the coherence can be controlled by tuning the DQD parameters and regimes of high purity maybe found. In addition, we show that the steady-state coherence can be used to drive an auxiliary cavity mode coupled to the DQD. arXiv:1906.06271v1 [cond-mat.mes-hall]

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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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Double Quantum Dot Floquet Gain Medium

Cited by 38 publications

References 48 publications

Theory of parametrically amplified electron-phonon superconductivity

Theory of parametrically amplified electron-phonon superconductivity

Tunable phonon-induced steady-state coherence in a double-quantum-dot charge qubit

Lasing in a coupled hybrid double quantum dot-resonator system

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