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The duality between coherent quantum phase slip and Josephson junction in nanosheets was investigated using the dual Hamiltonian method. This is equivalent to the duality between superconductivity and superinsulator in the 2 + 1 dimension…

Superconductivity · Physics 2020-06-09 M. Yoneda , M. Niwa , M. Motohashi

In this paper we demonstrate that, if it exists, coherent quantum phase slip is the exact dual to Josephson tunneling. We use the duality to predict kinetic capacitance and a sharp resonance in narrow wires. Biased resistively and driven at…

Superconductivity · Physics 2007-05-23 J. E. Mooij , Yu. V. Nazarov

We investigate experimentally the physics of quantum phase slips in one-dimensional Josephson Junction chains. These quantum phase-slips are induced by quantum phase fluctuations occurring on single junctions of the chain. In our experiment…

Superconductivity · Physics 2015-05-14 I. M. Pop , I. Protopopov , F. Lecocq , Z. Peng , B. Pannetier , O. Buisson , W. Guichard

We study theoretically the effect of interactions between quantum phase slips in a short superconducting wire beyond the dilute phase slip approximation. In contrast to the smooth transition in dissipative Josephson junctions, our analysis…

Superconductivity · Physics 2013-05-29 Dganit Meidan , Yuval Oreg , Gil Refael

We study coherent quantum phase-slips which lift the ground state degeneracy in a Josephson junction ring, pierced by a magnetic flux of the magnitude equal to half of a flux quantum. The quantum phase-slip amplitude is sensitive to the…

We investigate the physics of coherent quantum phase slips in two distinct circuits containing small Josephson junctions: (i) a single junction embedded in an inductive environment and (ii) a long chain of junctions. Starting from the…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 W. Guichard , F. W. J. Hekking

Realization of robust coherent quantum phase slips represents a significant experimental challenge. Here we propose a new design consisting of multiple nanowire junctions to realize a phase-slip flux qubit. It admits good tunability…

Mesoscale and Nanoscale Physics · Physics 2019-01-09 Zeng-Zhao Li , Tie-Fu Li , Chi-Hang Lam , J. Q. You

Fractional Josephson effect is a unique character of Majorana Fermions in topological superconductor system. This effect is very difficult to detect experimentally because of the disturbance of quasiparticle poisoning and unwanted couplings…

Quantum Physics · Physics 2017-08-10 Zhen-Tao Zhang , Zheng-Yuan Xue , Yang Yu

The effect of quantum fluctuations on the current-voltage characteristics of Josephson junctions and superconducting nanowires is studied in the underdamped limit. Quantum fluctuations induce transitions between a Coulomb--blockade and a…

Mesoscale and Nanoscale Physics · Physics 2008-08-21 A. Zazunov , N. Didier , F. W. J. Hekking

Regarding the duality of the XY-plaquette model in the $2+1d$ system, We compared and discussed the equivalence and difference between the modified Villain formulation, recently introduced by Gorantla et al. to study duality in exotic field…

High Energy Physics - Theory · Physics 2022-12-23 M. Yoneda

It is shown that the Jain mapping between states of integer and fractional quantum Hall systems can be described dynamically as a perturbative renormalization of an effective Chern-Simons field theory. The effects of mirror duality…

Condensed Matter · Physics 2009-10-30 L. Cooper , I. I. Kogan , A. Lopez , R. J. Szabo

Quantum circuit theory is a powerful and ever-evolving tool to predict the dynamics of superconducting circuits. In its language, quantum phase slips (QPSs) are famously considered to be the exact dual to the Josephson effect. However, this…

Mesoscale and Nanoscale Physics · Physics 2022-12-12 Christina Koliofoti , Roman-Pascal Riwar

We study the phase diagram and quantum critical properties of a resistively shunted Josephson junction array in one dimension from a strong coupling analysis. After mapping the dissipative quantum phase model to an effective sine-Gordon…

Superconductivity · Physics 2007-05-23 Pallab Goswami , Sudip Chakravarty

Synchronization is a widespread phenomenon encountered in many natural and engineered systems with nonlinear classical dynamics. How synchronization concepts and mechanisms transfer to the quantum realm and whether features are universal or…

Mesoscale and Nanoscale Physics · Physics 2024-11-12 Florian Höhe , Lukas Danner , Ciprian Padurariu , Brecht I. C Donvil , Joachim Ankerhold , Björn Kubala

We use a Ge-Si core-shell nanowire to realise a Josephson field-effect transistor with highly transparent contacts to superconducting leads. By changing the electric field we gain access to two distinct regimes not combined before in a…

Under quite plausible assumptions on double-layer quantum Hall states with strong interlayer correlation, we show in general framwork that coherent tunneling of a single electron between two layers is possible. It yields Josephson effects…

Condensed Matter · Physics 2015-06-25 Aiichi Iwazaki

We formulate a duality transformation for a bilayer XY model where the layers are coupled by second order Josephson effect, which favors inter-layer phase difference of either $0$ or $\pi$. The model may represent a bilayer superconductor…

Superconductivity · Physics 2025-07-29 Pye Ton How , Sungkit Yip

We show how the recently proposed effective theory for a Quantum Hall system at "paired states" filling v=1 (Mod. Phys. Lett. A 15 (2000) 1679; Nucl. Phys. B641 (2002) 547), the twisted model (TM), well adapts to describe the phenomenology…

High Energy Physics - Theory · Physics 2016-09-06 G. Cristofano , V. Marotta , A. Naddeo , G. Niccoli

In a short superconducting nanowire connected to bulk superconducting leads, quantum phase slips behave as a system of linearly (as opposed to logarithmically) interacting charges. This system maps onto quantum mechanics of a particle in a…

Superconductivity · Physics 2008-09-10 S. Khlebnikov

A hundred years after discovery of superconductivity, one fundamental prediction of the theory, the coherent quantum phase slip (CQPS), has not been observed. CQPS is a phenomenon exactly dual to the Josephson effect: whilst the latter is a…

Superconductivity · Physics 2015-06-04 O. V. Astafiev , L. B. Ioffe , S. Kafanov , Yu. A. Pashkin , K. Yu. Arutyunov , D. Shahar , O. Cohen , J. S. Tsai
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