Kerr coefficients of plasma resonances in Josephson junction chains

Weißl, Thomas; Küng, Bruno; Dumur, Étienne; Feofanov, A. K.; Matei, Iulian; Naud, Cécile; Buisson, Olivier; Hekking, F. W. J.; Guichard, Wiebke

doi:10.1103/physrevb.92.104508

Cited by 64 publications

(90 citation statements)

References 28 publications

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“…In fact, the parameters of Ref. [30] do not match well our assumptions for a single junction (we assumedhω p E J , ), so our theory is valid for somewhat larger junctions with larger C J and E J , and TABLE II. Energy scales for a Josephson junction coupled to a transmission line, derived from the parameters in Table I. Josephson energy E J 160 μeV = 2πh × 40 GHz Charging energy e 2 /(2C J ) 2 0 μeV = 2πh × 4.6 GHz Plasma frequencyhω p 160 μeV = 2πh × 40 GHz Mean level spacing δ 3.6 neV = 2πh × 0.9 MHz Photon emission rateh tl 1.7 μeV = 2πh × 0.4 GHz Quasiparticle rateh 0 0.4 neV = 2πh × 90 kHz Phonon rateh/τ ph ( =hω p ) 0 .9 neV = 2πh × 0.2 MHz FIG.…”

Section: Transmission Coefficient and Quality Factorsmentioning

confidence: 80%

“…For numerical estimates, we use structure parameters from Tables I and II, corresponding to the experiment of Ref. [30]. For these parameters, the junction is well in the qubit limit E C h tl .…”

Section: Transmission Coefficient and Quality Factorsmentioning

confidence: 99%

“…We chose Ref. [30] because a long JJ chain was studied there. In the next section, we show that the harmonic limit is relevant for an artificial atom represented by a JJ chain, and our assumptions are valid for chains with parameters as in Ref.…”

Section: Transmission Coefficient and Quality Factorsmentioning

confidence: 99%

“…The anharmonic correction to the energy of mode k with n k photons can be written as (hK kk /2)n 2 k , with the self-Kerr 1 15 μeV = 2πh × 3.5 GHz Self-Kerr coefficienthK 11 1.2 neV = 2πh × 0.3 MHz Photon emission rateh TL 40 neV = 2πh × 10 MHz Quasiparticle rateh 0 1 peV = 2πh × 0.26 kHz Phonon rateh/τ ph ( =hω 1 ) 0 .2 peV = 2πh × 50 Hz coefficient K kk given by [30] …”

Section: Few Quasiparticles In a Josephson Junction Chainmentioning

confidence: 99%

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Dissipation in a superconducting artificial atom due to a single nonequilibrium quasiparticle

2017

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We study a superconducting artificial atom which is represented by a single Josephson junction or a Josephson junction chain, capacitively coupled to a coherently driven transmission line, and which contains exactly one residual quasiparticle (or less than one quasiparticle per island in a chain). We study the dissipation in the atom induced by the quasiparticle tunneling, taking into account the quasiparticle heating by the drive. We calculate the transmission coefficient in the transmission line for drive frequencies near resonance and show that, when the artificial atom spectrum is nearly harmonic, the intrinsic quality factor of the resonance increases with the drive power. This counterintuitive behavior is due to the energy dependence of the quasiparticle density of states.

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Section: Transmission Coefficient and Quality Factorsmentioning

confidence: 80%

Section: Transmission Coefficient and Quality Factorsmentioning

confidence: 99%

Section: Transmission Coefficient and Quality Factorsmentioning

confidence: 99%

Section: Few Quasiparticles In a Josephson Junction Chainmentioning

confidence: 99%

See 2 more Smart Citations

Dissipation in a superconducting artificial atom due to a single nonequilibrium quasiparticle

2017

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“…A very recent experiment [40] reports the measurement of 14 resonant frequencies in an array of 200 junctions without shunting capacitor (C b J = 0). We can again compare our calculated frequencies with the measured ones: setting C a g = 98 aF and optimizing the other parameters, we find again differences of less than 1% except for the third mode, whose measured frequency is about 7% higher than the calculated one; this larger difference is likely due to the presence near the frequency of that mode of a spurious resonance [40].…”

Section: Broken P T Symmetry: An Examplementioning

confidence: 99%

Collective modes in the fluxonium qubit

Viola¹,

Catelani²

2015

Phys. Rev. B

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Superconducting qubit designs vary in complexity from single-and few-junction systems, such as the transmon and flux qubits, to the many-junction fluxonium. Here, we consider the question of whether the many degrees of freedom in the fluxonium circuit can limit the qubit coherence time. Such a limitation is in principle possible, due to the interactions between the low-energy, highly anharmonic qubit mode and the higher-energy, weakly anharmonic collective modes. We show that so long as the coupling of the collective modes with the external electromagnetic environment is sufficiently weaker than the qubit-environment coupling, the qubit dephasing induced by the collective modes does not significantly contribute to decoherence. Therefore, the increased complexity of the fluxonium qubit does not constitute by itself a major obstacle for its use in quantum computation architectures.

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Driven dissipative dynamics and topology of quantum impurity systems

Hur

Henriet

Herviou

et al. 2018

Comptes Rendus. Physique

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In this review, we provide an introduction and overview to some more recent advances in real-time dynamics of quantum impurity models and their realizations in quantum devices. We focus on the Ohmic spin-boson and related models, which describes a single spin-1/2 coupled to an infinite collection of harmonic oscillators. The topics are largely drawn from our efforts over the past years, but we also present a few novel results. In the first part of this review, we begin with a pedagogical introduction to the real-time dynamics of a dissipative spin at both high and low temperatures. We then focus on the driven dynamics in the quantum regime beyond the limit of weak spin-bath coupling. In these situations, the non-perturbative stochastic Schroedinger equation method is ideally suited to numerically obtain the spin dynamics as it can incorporate bias fields h z (t) of arbitrary time-dependence in the Hamiltonian. We present different recent applications of this method: (i) how topological properties of the spin such as the Berry curvature and the Chern number can be measured dynamically, and how dissipation affects the topology and the measurement protocol, (ii) how quantum spin chains can experience synchronization dynamics via coupling to a common bath. In the second part of this review, we discuss quantum engineering of spin-boson and related models in circuit quantum electrodynamics (cQED), quantum electrical circuits and cold-atoms architectures. In different realizations, the Ohmic environment can be represented by a long (microwave) transmission line, a Luttinger liquid, a one-dimensional Bose-Einstein condensate, a chain of superconducting Josephson junctions. We show that the quantum impurity can be used as a quantum sensor to detect properties of a bath at minimal coupling, and how dissipative spin dynamics can lead to new insight in the Mott-Superfluid transition.

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Kerr coefficients of plasma resonances in Josephson junction chains

Cited by 64 publications

References 28 publications

Dissipation in a superconducting artificial atom due to a single nonequilibrium quasiparticle

Dissipation in a superconducting artificial atom due to a single nonequilibrium quasiparticle

Collective modes in the fluxonium qubit

Driven dissipative dynamics and topology of quantum impurity systems

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