Cavity‐photon contribution to the effective interaction of electrons in parallel quantum dots

Guðmundsson, Viðar; Sitek, Anna; Abdullah, Nzar Rauf; Tang, Chi-Shung; Manolescu, Andrei

doi:10.1002/andp.201500298

Cited by 21 publications

(28 citation statements)

References 36 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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show abstract

“…In addition, The planewave basis is arranged to a kinetic energy cut-off equal to 490 eV [31]. The DFT scheme can thus be used to investigate the band structure, the density of state (DOS), and the charge density distribution [32] of the system. The thermal properties of the system are studied using the Boltzmann theory implemented in the BoltzTraP package [33], where the specific heat, c, of the system can be calculated via…”

Section: Modelmentioning

confidence: 99%

Silicon on a graphene nanosheet with triangle- and dot-shape: Electronic structure, specific heat, and thermal conductivity from first-principle calculations

2019

Self Cite

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The electronic structure, specific heat, and thermal conductivity of silicon embedded in a monolayer graphene nanosheet are studied using Density Functional Theory. Two different shapes of the substitutional Si doping in the graphene are studied, a triangular and a dot shape. The silicon doping of a graphene nanosheet, with the silicon atoms arranged in a triangular configuration in ortho-and para-positions, opens up a band gap transforming the sheet to a semiconducting material. The opening of the band gap is caused by the presence of the repulsion force between the silicon and carbon atoms decreasing the density of states around the Fermi energy. Consequently, the specific heat and the thermal conductivity of the system are suppressed. For graphene nanosheet doped with a dot-like configuration of silicon atoms, at the ortho-, meta-, and para-positions, the valence band crosses the Fermi level. This doping configuration increases the density of state at the Fermi level, but mobile charge are delocalized and diminished around the silicon atoms. As a result, the specific heat and the thermal conductivity are enhanced. Silicon substitutionally doped graphene nanosheets may be beneficial for photovoltaics and can further improve solar cell devices by controlling the geometrical configuration of the underlying atomic systems.

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“…The modeling of the central systems and the reservoirs can be performed either by using continuous confining potentials or a spatial grid. Examples are a short parabolic wire [ 44 , 45 ], ring [ 46 , 47 ], parallel wires with a window coupler [ 48 ], and wire with embedded dot [ 44 , 49 ] or dots [ 50 ]. The coupling between the leads and the central system with length

is described by Equation ( 8 ), and in order to reproduce scattering effects seen in a Lippmann–Schwinger formalism [ 15 , 51 , 52 ] the coupling tensor is defined as

for states with wavefunction

in lead l , and

in the central system.…”

Section: Formalismmentioning

confidence: 99%

“…This reflects the polarizability of the electric charge by a cavity field in the construction of the photon-dressed electronic states. At the same time the inclusion of the diamagnetic interaction curbs the need for states with a very high photon number [ 42 , 50 , 89 ].…”

Section: Electron Transport Through Photon Cavitiesmentioning

confidence: 99%

Generalized Master Equation Approach to Time-Dependent Many-Body Transport

Moldoveanu

Manolescu

Guðmundsson

2019

Entropy

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We recall theoretical studies on transient transport through interacting mesoscopic systems. It is shown that a generalized master equation (GME) written and solved in terms of manybody states provides the suitable formal framework to capture both the effects of the Coulomb interaction and electron-photon coupling due to a surrounding single-mode cavity. We outline the derivation of this equation within the Nakajima-Zwanzig formalism and point out technical problems related to its numerical implementation for more realistic systems which can neither be described by non-interacting two-level models nor by a steady-state Markov-Lindblad equation. We first solve the GME for a lattice model and discuss the dynamics of many-body states in a twodimensional nanowire, the dynamical onset of the current-current correlations in electrostatically coupled parallel quantum dots and transient thermoelectric properties. Secondly, we rely on a continuous model to get the Rabi oscillations of the photocurrent through a double-dot etched in a nanowire and embedded in a quantum cavity. A many-body Markovian version of the GME for cavity-coupled systems is also presented.

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Cavity‐photon contribution to the effective interaction of electrons in parallel quantum dots

Cited by 21 publications

References 36 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

Silicon on a graphene nanosheet with triangle- and dot-shape: Electronic structure, specific heat, and thermal conductivity from first-principle calculations

Generalized Master Equation Approach to Time-Dependent Many-Body Transport

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