Strongly correlated dynamics in multichannel quantum RC circuits

Dutt, Prasenjit; Schmidt, Thomas L.; Mora, Christophe; Hur, Karyn Le

doi:10.1103/physrevb.87.155134

Cited by 17 publications

(30 citation statements)

References 83 publications

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“…The operators satisfy g y i ¼ g i and {g i ,g j } ¼ d ij . The properties of the device are determined by the interplay of the Josephson coupling E J , the charging energy E C , the coupling E M between the Majorana excitations and the superconducting phase difference j 18,20,[35][36][37][38][39][40] . The Hamiltonian for the hybrid junction is…”

Section: Resultsmentioning

confidence: 99%

Microwave transitions as a signature of coherent parity mixing effects in the Majorana-transmon qubit

2014

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Solid-state Majorana fermions are generating intensive interest because of their unique properties and possible applications in fault tolerant quantum memory devices. Here we propose a method to detect signatures of Majorana fermions in hybrid devices by employing the sensitive apparatus of the superconducting charge-qubit architecture and its efficient coupling to microwave photons. In the charge and transmon regimes of this device, we find robust signatures of the underlying Majorana fermions that are, remarkably, not washed out by the smallness of the Majorana contribution to the Josephson current. It is predicted that at special gate bias points the photon-qubit coupling can be switched off via quantum interference, and in other points it is exponentially dependent on the control parameter E J /E C . We propose that this device could be used to manipulate the quantum state of the Majorana fermion and realize a tunable high coherence four-level system in the superconducting-circuit architecture.

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Section: Resultsmentioning

confidence: 99%

Microwave transitions as a signature of coherent parity mixing effects in the Majorana-transmon qubit

2014

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“…The expansion (2) also applies in the presence of interactions in the cavity [35][36][37][38] and the r V g…”

Section: Introductionmentioning

confidence: 99%

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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“…Multiple inverted peaks were observed at various frequency values within this interval. 5 The inverted resonance peak observed in spires strongly resembles the spectral response of a lumped element circuit. In this sense, we adjusted spectral data in the inverted peak region for the (C/2m/10cm/1mm) spire, to the impedance of a parallel RLC circuit according to the formula Z  R 0  R 1  iC  iL 1 1 .…”

Section: Coils Measurementsmentioning

confidence: 93%

“…On more general grounds, Strukov, Snider, Stewart and Williams [3] recently found the menristor, the last circuit element that can be derived from the fundamental relations of circuit variables, which was predicted by Chua [4]. Therefore, any novelty in circuit configuration or circuit size, such as the use of quantum dynamics in practical devices [5], [6] or new materials [7], [8], [9], [10] can enhance their applicability. Likewise, the discovery of new field dynamics in matter could be of relevance in determining properties of existing circuit elements or even lead to the development of new ones.…”

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confidence: 99%

Evidence for undamped waves on ohmic materials

Sardenberg

Figueiredo

2015

Journal of Electromagnetic Waves and Applications

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The propagation of electromagnetic fields in matter has been the subject of intensive studies since the discovery of its rich dynamics. Impedance measurements are one most used technique available to study material properties as well as electromagnetic devices and circuits. This way, novelties on device construction and circuit technology associated to new material properties and/or unusual field dynamics generally rely on results supported by impedance data. Recent advances on nanostructured materials explore astounding molecular properties derived from nanoscale levels and apply them to studies foucused on the generation of new devices. Accordingly, properties inherent to quantum dynamics can also generate unusual circuit elements, not included on the former development of the electromagnetic theory. On same footings, advances in field dynamics could also determine the advent of new technologies, producing immediate impact on our everyday life. In this work we present the results obtained by measuring the impedance of single spires and coils of specific geometry in the MHz range. They demonstrate that a new passive circuit element was found, which bears out the existence of an as yet unobserved propagation mode of the electromagnetic fields in matter. Our results also indicates that this effect is more evident using carbon made spires.The propagation of electromagnetic fields in matter has been the subject of intensive studies since the discovery of its rich dynamics. The variety of material properties relevant to the interaction of these fields with matter led to the development of passive circuit elements and active devices designed to control charges and currents in matter. This allows the advent of technologies inherent to almost all aspects of modern human life. Passive circuit elements are based on equations between field and matter variables, as defined by the constitutive relations, and are crucial in determining the best performance and economic viability of practical circuits. In this case, a property of Maxwell equations which has not yet been considered could determine new relations between fields and currents, thus allowing new circuit configurations or even new circuit elements. In this work we present the results obtained by measuring the impedance of single spires and coils of specific geometry in the MHz range. They demonstrate that a new passive circuit element was found, which bears out the existence of an as yet unobserved propagation mode of the electromagnetic fields in matter. Due to the immediate applicability of almost all electromagnetic phenomena, materials containing non-trivial electronic properties are highly sought-after. To this end, there has recently been a marked search for new materials or special molecular arrangements in the nanoscale domain, featuring better device performance, low fabrication cost and/or low

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Strongly correlated dynamics in multichannel quantum RC circuits

Cited by 17 publications

References 83 publications

Microwave transitions as a signature of coherent parity mixing effects in the Majorana-transmon qubit

Microwave transitions as a signature of coherent parity mixing effects in the Majorana-transmon qubit

Interacting mesoscopic capacitor out of equilibrium

Evidence for undamped waves on ohmic materials

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