Time-dependent transport of electrons through a photon cavity

Guðmundsson, Viðar; Jonasson, Olafur; Tang, Chi-Shung; Goan, Hsi‐Sheng; Manolescu, Andrei

doi:10.1103/physrevb.85.075306

Cited by 41 publications

(65 citation statements)

References 44 publications

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“…Second, the behavior of quantum dot circuits coupled to optical cavities is discussed theoretically in Refs. [213][214][215][216][217][218][219][220][221] . The fabrication of such devices is extremely challenging, but this could reveal effects related to the polarization of light.…”

Section: Discussionmentioning

confidence: 99%

Cavity QED with hybrid nanocircuits: from atomic-like physics to condensed matter phenomena

Cottet¹,

Dartiailh²,

Desjardins³

et al. 2017

J. Phys.: Condens. Matter

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Circuit QED techniques have been instrumental to manipulate and probe with exquisite sensitivity the quantum state of superconducting quantum bits coupled to microwave cavities. Recently, it has become possible to fabricate new devices where the superconducting quantum bits are replaced by hybrid mesoscopic circuits combining nanoconductors and metallic reservoirs. This mesoscopic QED provides a new experimental playground to study the light-matter interaction in electronic circuits. Here, we present the experimental state of the art of Mesoscopic QED and its theoretical description. A first class of experiments focuses on the artificial atom limit, where some quasiparticles are trapped in nanocircuit bound states. In this limit, the Circuit QED techniques can be used to manipulate and probe electronic degrees of freedom such as confined charges, spins, or Andreev pairs. A second class of experiments consists in using cavity photons to reveal the dynamics of electron tunneling between a nanoconductor and fermionic reservoirs. For instance, the Kondo effect, the charge relaxation caused by grounded metallic contacts, and the photo-emission caused by voltage-biased reservoirs have been studied. The tunnel coupling between nanoconductors and fermionic reservoirs also enable one to obtain split Cooper pairs, or Majorana bound states. Cavity photons represent a qualitatively new tool to study these exotic condensed matter states.

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Section: Discussionmentioning

confidence: 99%

Cavity QED with hybrid nanocircuits: from atomic-like physics to condensed matter phenomena

Cottet¹,

Dartiailh²,

Desjardins³

et al. 2017

J. Phys.: Condens. Matter

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“…The 2D electron system is placed in a photon cavity with one mode of energy E EM and linear polarization in the xor y-direction. For the electron-photon interaction we re- tain both the para-and the dia-magnetic terms without the rotating wave approximation, but consider the wavelength much larger than the size of the electron system [15,16]. The two parts of the electron-photon interac-tion are used since we consider the system both on and off resonance [17].…”

mentioning

confidence: 99%

“…The coupling function has a similar timescale as the external electrical pulse had. The GME formalism with our spatially dependent coupling of states in the leads and the system has been described elsewhere [15,16] (here, the lead-system coupling strength is 0.5 meV and the lead temperature T = 0.5 K). The chemical potentials of the left (L) and right (R) leads, µ L = 1.4 meV and µ R = 1.1 meV, respectively, are chosen to include 3 two-electron and 2 one-electron states in the bias window, as is indicated in Fig.…”

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confidence: 99%

Coupled Collective and Rabi Oscillations Triggered by Electron Transport through a Photon Cavity

et al. 2015

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We show how the switching-on of an electron transport through a system of two parallel quantum dots embedded in a short quantum wire in a photon cavity can trigger coupled Rabi and collective electron-photon oscillations. We select the initial state of the system to be an eigenstate of the closed system containing two Coulomb interacting electrons with possibly few photons of a single cavity mode. The many-level quantum dots are described by a continuous potential. The Coulomb interaction and the para-and dia-magnetic electron-photon interactions are treated by exact diagonalization in a truncated Fock-space. To identify the collective modes the results are compared for an open and a closed system with respect to the coupling to external electron reservoirs, or leads. We demonstrate that the vacuum Rabi oscillations can be seen in transport quantities as the current in and out of the system. Introduction.-Fine-tuning of the electron-photon interaction has opened up new possibilities in semiconductor physics. The transport of electrons through quantum dots assisted by up to four photons in the teraherz frequency range has been observed [1], and double quantum dots have been used to detect single-photons from shot-noise in electron transport through a quantum point contact [2]. The properties and control of atomic or electronic systems in photonic cavities is a common theme in the research effort of many teams working on various aspects of quantum cavity electrodynamics and related fields [3][4][5][6][7][8][9][10]. The non-local single-photon transport properties of two sets of double quantum dots within a photon cavity has recently been modeled [11], and also a pump-probe scheme for electron-photon dynamics in a hybrid conductor-cavity system with one electron reservoir [12]. Many tasks in quantum information processing might be served by mixed photon-electronics circuits. In order to model such systems we need to combine methods and tools that have traditionally been used and developed in the fields of time-dependent electron transport and quantum optics. In this publication we show how time-dependent electron transport through a nanoscale system embedded in a photon cavity could be used to detect vacuum Rabi-oscillations in it. In order to do so we use a generalized master equation (GME) formalism for time-dependent electron transport, that was initially developed for quantum optics systems [13,14].

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“…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%

“…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%

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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Time-dependent transport of electrons through a photon cavity

Cited by 41 publications

References 44 publications

Cavity QED with hybrid nanocircuits: from atomic-like physics to condensed matter phenomena

Cavity QED with hybrid nanocircuits: from atomic-like physics to condensed matter phenomena

Coupled Collective and Rabi Oscillations Triggered by Electron Transport through a Photon Cavity

Transmission of a microwave cavity coupled to localized Shiba states

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