Steering of a bosonic mode with a double quantum dot

Brandes, Tobias; Lambert, Neill

doi:10.1103/physrevb.67.125323

Cited by 48 publications

(98 citation statements)

References 45 publications

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“…This is a well-studied model in various forms, and has been used to illustrate, e.g., boson steering and micromaser effects 8,16,17 . Following this, we explain why current-noise measurements can contain signatures of quantum coherent behavior.…”

Section: B Summary Of Our Resultsmentioning

confidence: 99%

Detecting quantum-coherent nanomechanical oscillations using the current-noise spectrum of a double quantum dot

Lambert

Nori

2008

Phys. Rev. B

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We consider a nanomechanical resonator coupled to a double quantum dot. We demonstrate how the finite-frequency current-noise spectrum through the double quantum dot can be used to distinguish classical and quantum behavior in the nearby nano-electromechanical resonator. We also show how the full frequency current-noise spectrum gives important information on the combined double quantum dot-resonator energy spectrum. Finally, we point out regimes where the quantum state of the resonator becomes squeezed, and also examine the cross-correlated electron-phonon current-noise.

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Section: B Summary Of Our Resultsmentioning

confidence: 99%

Detecting quantum-coherent nanomechanical oscillations using the current-noise spectrum of a double quantum dot

Lambert

Nori

2008

Phys. Rev. B

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“…69 and 81. Here, we focus on the effect the phase difference in electron-phonon couplings ξ has on the X † L X R and X † R X L operators.…”

Section: Appendix B: Current Operatorsmentioning

confidence: 99%

“…Several examples of such molecules have recently been investigated 67,68 . While the role of electron-phonon coupling in such systems remains largely unexplored experimentally, it has attracted some attention from a theoretical perspective [69][70][71][72][73] . A similar model to the one considered here has previously been studied by Santamore et al in Ref.…”

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confidence: 99%

Vibrational effects in charge transport through a molecular double quantum dot

et al. 2017

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Recent progress in the field of molecular electronics has revealed the fundamental importance of the coupling between the electronic degrees of freedom and specific vibrational modes. Considering the examples of a molecular dimer and a carbon nanotube double quantum dot, we here theoretically investigate transport through a two-site system that is strongly coupled to a single vibrational mode. Using a quantum master equation approach, we demonstrate that, depending on the relative positions of the two dots, electron-phonon interactions can lead to negative differential conductance and suppression of the current through the system. We also discuss the experimental relevance of the presented results and possible implementations of the studied system.

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“…The coupling strengths g i can be related to microscopic details of the system [4], although this will not be essential in the following. More general coupling terms can also be envisioned [12], but will not be considered here. The magnitude of these couplings, as estimated by recent experiments, is of the order of g i /2π ∼ 50 MHz.…”

mentioning

confidence: 99%

“…In this case the number of matrix elements in the Liouvillian scales as O(N 4 ). Resonances occur when the natural frequencies of the DQDs, ∆ i = ε 2 i + (2Ω i ) 2 , match multiples of the cavity frequency, i. e. ∆ i = m ω c for integer m [12]. We consider two different dealignments of DQD 2: ∆ 2 = 2Ω 2 (ε 2 = 0) and ∆ 2 = ω c (ε 2 > 0).…”

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confidence: 99%

Photon-mediated electron transport in hybrid circuit-QED

Lambert

Flindt

Nori

2013

EPL

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-We investigate photon-mediated transport processes in a hybrid circuit-QED structure consisting of two double quantum dots coupled to a common microwave cavity. Under suitable resonance conditions, electron transport in one double quantum dot is facilitated by the transport in the other dot via photon-mediated processes through the cavity. We calculate the average current in the quantum dots, the mean cavity photon occupation, and the current cross-correlations with both a full numerical simulation and a recursive perturbation scheme that allows us to include the influence of the cavity order-by-order in the couplings between the cavity and the quantum dot systems. We can then clearly identify the photon-mediated transport processes.Introduction. -Hybrid structures that combine electronic and photonic degrees of freedom in on-chip circuit-QED architectures are currently undergoing a rapid development [1]. A series of recent experiments [2,3] have shown that controllable coupling between electronic transport in quantum dot structures and a single mode of the electromagnetic field in a microwave cavity is now achievable. Several experiments have realized both a single quantum dot and two tunnel-coupled quantum dots interacting with a microwave resonator [2]. Very recently two quantum dots were successfully coupled to distant parts of a common cavity resonator, and photon-mediated interaction between the spatially separated quantum dot circuits was reported [3].These experimental advances are now fueling an increasing theoretical interest in understanding and predicting the physics of hybrid circuit-QED structures [1,4]. A number of proposals [5] have already considered the coupling of electronic spins in quantum dots to microwave resonators. In parallel, other works [6] have focused on the influence of cavity resonators on the transport properties of nearby quantum dot systems. A very recent work [7] expands theoretically on the experimental setup from Ref.[3] by considering two separated double quantum dots (DQDs) connected to the same cavity mode. With the DQDs weakly coupled to electronic leads at finite voltages, this system displays intriguing Tavis-Cummings physics, non-local charge transport and electronic entan-

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Steering of a bosonic mode with a double quantum dot

Cited by 48 publications

References 45 publications

Detecting quantum-coherent nanomechanical oscillations using the current-noise spectrum of a double quantum dot

Detecting quantum-coherent nanomechanical oscillations using the current-noise spectrum of a double quantum dot

Vibrational effects in charge transport through a molecular double quantum dot

Photon-mediated electron transport in hybrid circuit-QED

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