Localizing quantum phase slips in one-dimensional Josephson junction chains

Ergül, Adem; Lidmar, Jack; Johansson, Jan; Azizoğlu, Yağız; Schaeffer, David G.; Haviland, David B.

doi:10.1088/1367-2630/15/9/095014

Cited by 28 publications

(40 citation statements)

References 35 publications

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“…The parabolic shape will also introduce additional dephasing due to the presence of different local sound velocities and an extension of our analysis to such traps would be interesting. At present, we expect systems of ultra-cold atoms trapped in flatband potentials 43,44 , besides arrays of Josephson Junctions 56,57 , and ion traps 58,59 to be viable candidates for experimentally probing the Luttinger-liquid physics we have considered in this work. In particular, a protocol for the creation of spatiotemporal quenches similar to what we have considered here was discussed in Ref.…”

Section: Discussionmentioning

confidence: 99%

Quantum heat waves in a one-dimensional condensate

et al. 2017

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We study the dynamics of phase relaxation between a pair of one-dimensional condensates created by a bi-directional, supersonic 'unzipping' of a finite single condensate. We find that the system fractures into different extensive chunks of space-time, within which correlations appear thermal but correspond to different effective temperatures. Coherences between different eigen-modes are crucial for understanding the development of such thermal correlations; at no point in time can our system be described by a generalized Gibbs' ensemble despite nearly always appearing locally thermal. We rationalize a picture of propagating fronts of hot and cold sound waves, populated at effective, relativistically red-and blue-shifted temperatures to intuitively explain our findings. The disparity between these hot and cold temperatures vanishes for the case of instantaneous splitting but diverges in the limit where the splitting velocity approaches the speed of sound; in this limit, a sonic boom occurs wherein the system is excited only along an infinitely narrow, and infinitely hot beam. We expect our findings to apply generally to the study of superluminal perturbations in systems with emergent Lorentz symmetry.

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Section: Discussionmentioning

confidence: 99%

Quantum heat waves in a one-dimensional condensate

et al. 2017

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“…Furthermore, in the case of strong charge disorder, depinning effects are the dominant mechanism for the onset of transport above the threshold voltage 4 . In the conducting regime, where the Josephson energy dominates over the charging energy, the current-voltage curve shows a supercurrent-like behavior at low bias voltages and a constant current at higher voltages 5,6 . Another interesting effect is the persistent current that arises if a closed chain is pierced by a magnetic flux [7][8][9] .…”

Section: Introductionmentioning

confidence: 99%

Superconductor-insulator transition in disordered Josephson-junction chains

et al. 2017

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We study the superconductor-insulator quantum phase transition in disordered Josephson junction chains. To this end, we derive the field theory from the lattice model that describes a chain of superconducting islands with a capacitive coupling to the ground (C0) as well as between the islands (C1). We analyze the theory in the short-range (C1 C0) and in the long-range (C1 C0) limits. The transition to the insulating state is driven by the proliferation of quantum phase slips. The most important source of disorder originates from trapped charges in the substrate that suppress the coherence of phase slips, thus favoring superconducting correlations. Using the renormalizationgroup approach, we determine the phase diagram and evaluate the temperature dependence of the dc conductivity and system-size dependence of the resistance around the superconductor-insulator transition. These dependences have in general strongly non-monotonic character, with several distinct regimes reflecting an intricate interplay of superconductivity and disorder.

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“…Later, Josephson junction chains in the resistive state have been used to create an environment resistive enough to observe the so-called Bloch nose [8,9]. More recently, longer chains have been studied [10] and the zero-bias resistance has been interpreted in terms of quantum phase slips. In the limit of dominating charging energy, the zero-bias resistance can be understood in terms of depinning of charges in the chain [11].…”

Section: Introductionmentioning

confidence: 99%

Bloch band dynamics of a Josephson junction in an inductive environment

et al. 2015

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We have measured the current-voltage characteristics of a Josephson junction with tunable Josephson energy E J embedded in an inductive environment provided by a chain of SQUIDs. Such an environment induces localization of the charge on the junction, which results in an enhancement of the zero-bias resistance of the circuit. We explain this result quantitatively in terms of the Bloch band dynamics of the localized charge. This dynamics is governed by charge diffusion in the lowest Bloch band of the Josephson junction as well as by Landau-Zener transitions out of the lowest band into the higher bands. In addition, the frequencies corresponding to the self-resonant modes of the SQUID array exceed the Josephson energy E J of the tunable junction, which results in a renormalization of E J , and, as a consequence, an increase of the effective bandwidth of the lowest Bloch band.

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Localizing quantum phase slips in one-dimensional Josephson junction chains

Cited by 28 publications

References 35 publications

Quantum heat waves in a one-dimensional condensate

Quantum heat waves in a one-dimensional condensate

Superconductor-insulator transition in disordered Josephson-junction chains

Bloch band dynamics of a Josephson junction in an inductive environment

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