Coulomb-blockade effect in nonlinear mesoscopic capacitors

Alomar, María Isabel; Lim, Jong-Soo; Sánchez, David

doi:10.1103/physrevb.94.165425

Cited by 15 publications

(14 citation statements)

References 64 publications

(104 reference statements)

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“…Note that this expression is valid to lowest order in ω, but can be used for arbitrary values of the amplitude V AC [28,68]. This is specially appealing if one is interested in addressing nonlinear effects [65,84,85]. The validity of the adiabatic approximation considered here was confirmed in [86] by a comparison with an exact calculation in the limit of low level occupations.…”

Section: Low Frequency Expansionmentioning

confidence: 75%

Periodic Energy Transport and Entropy Production in Quantum Electronics

Ludovico

Arrachea

Moskalets

et al. 2016

Entropy

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Abstract:The problem of time-dependent particle transport in quantum conductors is nowadays a well established topic. In contrast, the way in which energy and heat flow in mesoscopic systems subjected to dynamical drivings is a relatively new subject that cross-fertilize both fundamental developments of quantum thermodynamics and practical applications in nanoelectronics and quantum information. In this short review, we discuss from a thermodynamical perspective recent investigations on nonstationary heat and work generated in quantum systems, emphasizing open questions and unsolved issues.

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Section: Low Frequency Expansionmentioning

confidence: 75%

Periodic Energy Transport and Entropy Production in Quantum Electronics

Ludovico

Arrachea

Moskalets

et al. 2016

Entropy

Self Cite

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“…The limit 1 − |r| 2 1 of a cavity weakly coupled to the lead, such that it can effectively be described by a single level, was addressed in Refs. [63][64][65][66][67][68]. An important partial result for the opposite limit of an almost transparent point contact was obtained by Mora and Le Hur [37], who studied the linear response without restriction on the frequency ω, for a cavity in the quantum Hall regime.…”

Section: Deg Cavitymentioning

confidence: 93%

Interacting mesoscopic capacitor out of equilibrium

2017

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We consider the full nonequilibrium response of a mesoscopic capacitor in the large transparency limit, exactly solving a model with electron-electron interactions appropriate for a cavity in the quantum Hall regime. For a cavity coupled to the electron reservoir via an ideal point contact, we show that the response to any time-dependent gate voltage V g (t) is strictly linear in V g . We analyze the charge and current response to a sudden gate voltage shift and find that this response is not captured by a simple circuit analogy. In particular, in the limit of strong interactions a sudden change in the gate voltage leads to the emission of a sequence of multiple charge pulses, the width and separation of which are controlled by the charge-relaxation time τ c = hC g /e 2 and the time of flight τ f . We also consider the effect of a finite reflection amplitude in the point contact, which leads to nonlinear-in-gate-voltage corrections to the charge and current response.

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“…Hence, it would be interesting to understand to which extent the universality of the charge relaxation resistance is robust to interactions [147][148][149][150][151] . There is not yet a full consensus on this question and the answer could depend on the regime of parameter considered.…”

Section: B Effective Admittance Of a Single Quantum Dot With Normal mentioning

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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Coulomb-blockade effect in nonlinear mesoscopic capacitors

Cited by 15 publications

References 64 publications

Periodic Energy Transport and Entropy Production in Quantum Electronics

Periodic Energy Transport and Entropy Production in Quantum Electronics

Interacting mesoscopic capacitor out of equilibrium

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

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