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Barakov, H.S. (author), Nazarov, Y.V. (author)We show that the quasicontinuous gapless spectrum of Andreev bound states in multiterminal semi-classical superconducting nanostructures exhibits a large number of topological singularities. We concentrate on Weyl points in a four-terminal nanostructure and compute their density and correlations in three-dimensional parameter space for a...journal article 2023
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Repin, E. (author), Nazarov, Y.V. (author)The technology of superconductor-semiconductor nanowire devices has matured in recent years. This makes it feasible to make more complex and sophisticated devices. We investigate multiterminal superconductor-semiconductor wires to access the feasibility of another topological phenomenon: Weyl singularities in their spectrum. We have found an...journal article 2022
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Boogers, Victor (author), Erdmanis, J. (author), Nazarov, Y.V. (author)It has been shown that a Weyl point in a superconducting nanostructure may give rise to a Weyl disk where two quantum states are almost degenerate in a two-dimensional manifold in the parametric space. This opens up the possibility of a holonomic quantum manipulation: A transformation of the wave function upon an adiabatic change of the...journal article 2022
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Erdmanis, J. (author), Lukács, Árpád (author), Nazarov, Y.V. (author)A generic semiclassical superconducting nanostructure connected to multiple superconducting terminals hosts a quasicontinuous spectrum of Andreev states. The spectrum is sensitive to the superconducting phases of the terminals. It can be either gapped or gapless depending on the point in the multidimensional parametric space of these phases....journal article 2022
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Erdmanis, J. (author), Nazarov, Y.V. (author)We propose to synchronize Bloch oscillations in a double phase-slip junction by modulating the gate voltage rather than the bias voltage. We show this is advantageous, and the relatively small ac modulation of the gate voltage gives rise to the pronounced plateaus of quantized current of the width of the order of Coulomb blockade threshold....journal article 2022
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Reutlinger, J. (author), Glazman, L. (author), Nazarov, Y.V. (author), Belzig, W (author)The energy levels of a quasicontinuous spectrum in mesoscopic systems fluctuate in positions and the distribution of the fluctuations reveals information about the microscopic nature of the structure under consideration. Here, we investigate mesoscopic fluctuations of a secondary gap that appears in the quasiclassical spectrum of a chaotic...journal article 2022
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Chen, Y. (author), Nazarov, Y.V. (author)A Weyl point in a superconducting nanostructure is a generic minimum model of a topological singularity at low energies. We connect the nanostructure to normal leads thereby immersing the topological singularity in the continuous spectrum of the electron states in the leads. This sets another simple and generic model useful to comprehend the...journal article 2021
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Kornich, V. (author), Huang, X. (author), Repin, E. (author), Nazarov, Y.V. (author)We propose a scheme to perform braiding and all other unitary operations with Majorana modes in one dimension that, in contrast to previous proposals, is solely based on resonant manipulation involving the first excited state extended over the modes. The detection of the population of the excited state also enables initialization and read-out...journal article 2021
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Chen, Y. (author), Nazarov, Y.V. (author)We investigate transport in a superconducting nanostructure housing a Weyl point in the spectrum of Andreev bound states. A minimum magnet state is realized in the vicinity of the point. One or more normal-metal leads are tunnel-coupled to the nanostructure. We have shown that this minimum magnetic setup is suitable for realization of all...journal article 2021
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Kornich, V. (author), Barakov, H.S. (author), Nazarov, Y.V. (author)The recent proposals of devices with overlapping Andreev bound states (ABS) open up opportunities to control and fine tune their spectrum that can be used in various applications in quantum sensing and manipulation. In this paper, we study the ABS in a device consisting of a semiconducting nanowire covered with three superconducting leads....journal article 2020
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Meyer, Julia S. (author), Houzet, Manuel (author), Nazarov, Y.V. (author)We show that the annihilation dynamics of excess quasiparticles in superconductors may result in the spontaneous formation of large spin-polarized clusters. This presents a novel scenario for spontaneous spin polarization. We estimate the relevant scales for aluminum, finding the feasibility of clusters with total spin S≃10^{4}ℏ that could be...journal article 2020
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Franquet, A. (author), Nazarov, Y.V. (author)We address the statistics of a simultaneous continuous weak linear measurement of two noncommuting variables on a few-state quantum system subject to a postselected evolution. The results of both postselected quantum measurement and simultaneous monitoring of two noncommuting variables differ drastically from the results of either classical...journal article 2019
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Huang, Xiao Li (author), Nazarov, Y.V. (author)Recently, we have proposed an unusual mechanism of superconducting current that is specific for quantum Hall edge channels connected to superconducting electrodes. We have shown that the supercurrent can be mediated by a nonlocal electron-electron interaction that provides an opportunity for a long-distance information transfer in the...journal article 2019
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Ansari, Mohammad H. (author), van Steensel, Alwin (author), Nazarov, Y.V. (author)Currently, 'time' does not play any essential role in quantum information theory. In this sense, quantum information theory is underdeveloped similarly to how quantum physics was underdeveloped before Erwin Schrödinger introduced his famous equation for the evolution of a quantum wave function. In this review article, we cope with the problem...review 2019
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Repin, E. (author), Chen, Y. (author), Nazarov, Y.V. (author)Recently, it has been shown that multiterminal superconducting nanostructures may possess topological properties that involve Berry curvatures in the parametric space of the superconducting phases of the terminals, and associated Chern numbers that are manifested in quantized transconductances of the nanostructure. In this paper, we...journal article 2019
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Michal, V.P. (author), Nazarov, Y.V. (author)We address the interaction between two quantum systems (A and B) that is mediated by their common linear environment. If the environment is out of equilibrium, the resulting interaction violates Onsager relations and cannot be described by a Hamiltonian. In simple terms, the action of system A on system B does not necessarily produce a back...journal article 2019
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Huang, Xiao Li (author), Nazarov, Y.V. (author)We show theoretically that in the superconducting nanostructures the gapped states of different topology are not always protected by separating gapless states. Depending on the structure design parameters, they can be either protected or not, with a protection-unprotection transition separating these two distinct situations. We build up a...journal article 2019
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Kornich, V. (author), Barakov, H.S. (author), Nazarov, Y.V. (author)The recent proposals of experiments with single Andreev bound states make relevant a detailed analysis of these states in multiterminal superconducting nanostructures. We evaluate the energy splitting of degenerate Andreev bound states that overlap in a superconducting lead, and find that the splitting is reduced in comparison with their...journal article 2019
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Michal, V.P. (author), Fujita, T. (author), Baart, T.A. (author), Danon, J. (author), Reichl, C (author), Wegscheider, W (author), Vandersypen, L.M.K. (author), Nazarov, Y.V. (author)We study the Zeeman splitting in lateral quantum dots that are defined in GaAs-AlGaAs heterostructures by means of split gates. We demonstrate a nonlinear dependence of the splitting on magnetic field and its substantial variations from dot to dot and from heterostructure to heterostructure. These phenomena are important in the context of...journal article 2018
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Erdmanis, J. (author), Lukacs, A.L. (author), Nazarov, Y.V. (author)A variety of quantum systems exhibit Weyl points in their spectra where two bands cross in a point of three-dimensional parameter space with conical dispersion in the vicinity of the point. We consider theoretically the soft constraint regime where the parameters are dynamical quantum variables. We have shown that in general the soft...journal article 2018