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Padurariu, C. (author), Keijzers, C.J.H. (author), Nazarov, Y.V. (author)We study theoretically dynamics in a Josephson junction coupled to a mechanical resonator looking at the signatures of the resonance in dc electrical response of the junction. Such a system can be realized experimentally as a suspended ultraclean carbon nanotube brought in contact with two superconducting leads. A nearby gate electrode can be...journal article 2012
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Pikulin, D.I. (author), Nazarov, Y.V. (author)We derive a generic phenomenological model of a Majorana Josephson junction that accounts for avoided crossing of Andreev states, and investigate its dynamics at constant bias voltage to reveal an unexpected pattern of an any-? Josephson effect in the limit of slow decoherence: sharp peaks in noise not related to any definite fraction of...journal article 2012
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Padurariu, C. (author), Hassler, F. (author), Nazarov, Y.V. (author)Motivated by recent experiments, we study theoretically the full counting statistics of radiation emitted below the threshold of parametric resonance in a Josephson-junction circuit. In contrast to most optical systems, a significant part of emitted radiation can be collected and converted to an output signal. This permits studying the...journal article 2012
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Yokoyama, T. (author), Eto, M. (author), Nazarov, Y.V. (author)We theoretically study the current-phase relation in semiconductor nanowire Josephson junction in the presence of spin-orbit interaction. In the nanowire, the impurity scattering with strong SO interaction is taken into account using the random matrix theory. In the absence of magnetic field, the Josephson current I and phase difference ?...conference paper 2012
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Laakso, M.A. (author), Heikkilä, T.T. (author), Nazarov, Y.V. (author)We describe the statistics of temperature fluctuations in a SINIS structure, where a normal metal island (N) is coupled by tunnel junctions (I) to two superconducting leads (S). We specify conditions under which this structure exhibits manifestly non-Gaussian fluctuations of temperature. We consider both the Gaussian and non-Gaussian regimes of...journal article 2012
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Vanevic, M. (author), Nazarov, Y.V. (author)Quantum phase slips are traditionally considered in diffusive superconducting wires which are assumed homogeneous. We present a definite estimate for the amplitude of phase slips that occur at a weak inhomogeneity in the wire where local resistivity is slightly increased. We model such a weak link as a general coherent conductor and show that...journal article 2012
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Snyman, I. (author), Nazarov, Y.V. (author)We prove theoretically the possibility of electric-field controlled polaron formation involving flexural (bending) modes in suspended carbon nanotubes. Upon increasing the field, the ground state of the system with a single extra electron undergoes a first-order phase transition between an extended state and a localized polaron state. For a...journal article 2012
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Laakso, M.A. (author), Heikkilä, T.T. (author), Nazarov, Y.V. (author)We propose a mesoscopic setup which exhibits strong and manifestly non-Gaussian fluctuations of energy and temperature when suitably driven out of equilibrium. The setup consists of a normal metal island (N) coupled by tunnel junctions (I) to two superconducting leads (S), forming a SINIS structure, and is biased near the threshold voltage for...journal article 2012
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Nazarov, S.A. (author), Slutskij, A.S. (author), Sweers, G.H. (author)Asymptotically optimal Korn inequalities are derived for a composite material that consists of two families of stiff rods surrounded by a homogeneous soft material. The composite plate is fixed through the protruding stiff rods only. The asymptotic behaviour is shown to be crucially different for families of connected rods and for those where...journal article 2012
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Nazarov, Y.V. (author)We demonstrate that the condensed matter quantum systems encompassing two reservoirs connected by a junction permit a natural definition of flows of conserved measures, i.e., Rényi entropies. Such flows are similar to the flows of physical conserved quantities such as charge and energy. We develop a perturbation technique that permits efficient...journal article 2011
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Godschalk, F. (author), Hassler, F. (author), Nazarov, Y.V. (author)We describe a superconducting device capable of producing laser light in the visible range at half of the Josephson generation frequency with the optical phase of the light locked to the superconducting phase difference. It consists of two single-level quantum dots embedded in a p-n semiconducting heterostructure and surrounded by a cavity...journal article 2011
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Danon, J. (author), Nazarov, Y.V. (author)In this work we present a new formalism to evaluate the nuclear spin dynamics driven by hyperfine interaction with nonequilibrium electron spins. To describe the dynamics up to second order in the hyperfine coupling it suffices to evaluate the susceptibility and fluctuations of the electron spin. Our approach does not rely on a separation of...journal article 2011
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Hriscu, A.M. (author), Nazarov, Y.V. (author)To illustrate the emergence of Coulomb blockade from coherent quantum phase-slip processes in thin superconducting wires, we propose and theoretically investigate two elementary setups, or devices. The setups are derived from the Cooper-pair box and Cooper-pair transistor, so we refer to them as the QPS box and QPS transistor, respectively. We...journal article 2011
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Hriscu, A.M. (author), Nazarov, Y.V. (author)We theoretically investigate a driven oscillator with the superconducting inductance subject to quantum phase slips (QPS). We find uncommon nonlinearities in the proposed device: they oscillate as a function of the number of photons N with a local period of the order of ?N. We prove that such nonlinearities result in multiple metastable states...journal article 2011
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Campbell, A. (author), Nazarov, S.A. (author), Sweers, G.H. (author)We investigate the spectrum of the two-dimensional model for a thin plate with a sharp edge. The model yields an elliptic $3\times3$ Agmon–Douglis–Nirenberg system on a planar domain with coefficients degenerating at the boundary. We prove that in the case of a degeneration rate $\alpha<2$, the spectrum is discrete, but, for $\alpha\geq2$, there...journal article 2010
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Nazarov, S.A. (author), Slutskij, A.S. (author), Sweers, G.H. (author)Asymptotically optimal Korn inequalities are derived for a composite material that consists of two families of stiff rods surrounded by a homogeneous soft material. The composite plate is fixed through the protruding stiff rods only. The asymptotic behaviour is shown to be crucially different for families of connected rods and for those where...journal article 2010
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Laakso, M.A. (author), Heikkilä, T.T. (author), Nazarov, Y.V. (author)Interplay of cotunneling and single-electron tunneling in a thermally isolated single-electron transistor leads to peculiar overheating effects. In particular, there is an interesting crossover interval where the competition between cotunneling and single-electron tunneling changes to the dominance of the latter. In this interval, the current...journal article 2010
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Nadj-Perge, S. (author), Frolov, S.M. (author), Van Tilburg, J.W.W. (author), Danon, J. (author), Nazarov, Y.V. (author), Algra, R. (author), Bakkers, E.P.A.M. (author), Kouwenhoven, L.P. (author)We have achieved the few-electron regime in InAs nanowire double quantum dots. Spin blockade is observed for the first two half-filled orbitals, where the transport cycle is interrupted by forbidden transitions between triplet and singlet states. Partial lifting of spin blockade is explained by spin-orbit and hyperfine mechanisms that enable...journal article 2010
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Laakso, M.A. (author), Heikkilä, T.T. (author), Nazarov, Y.V. (author)We consider the fully overheated single-electron transistor, where the heat balance is determined entirely by electron transfers. We find three distinct transport regimes corresponding to cotunneling, single-electron tunneling, and a competition between the two. We find an anomalous sensitivity to temperature fluctuations at the crossover...journal article 2010
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Padurariu, C. (author), Nazarov, Y.V. (author)We propose and theoretically investigate superconducting spin qubits. Superconducting spin qubit consists of a single spin confined in a Josephson junction. We show that owing to spin-orbit interaction, superconducting phase difference across the junction can polarize this spin. We demonstrate that this enables single-qubit operations and more...journal article 2010