Tunable quantum criticality and super-ballistic transport in a “charge” Kondo circuit

Iftikhar, Zubair; Anthore, A.; Mitchell, Andrew K.; Parmentier, François; Gennser, U.; Ouerghi, Abdelkarim; Cavanna, A.; Mora, Christophe; Simon, Pascal; Pierre, F.

doi:10.1126/science.aan5592

Cited by 132 publications

(141 citation statements)

References 51 publications

Supporting

Mentioning

137

Contrasting

Order By: Relevance

“…Beyond Luttinger liquids, the significance of our results extends to the general field of continuous quantum phase transitions, whose study in simple and well-controlled nano-engineered circuits was still limited to universality classes connected with the Kondo effect [21,22,43,[49][50][51][52]. Notably, our data establish in a different context the generic expectations of universal scaling behaviors and of a parameter-space power-law broadening for quantum criticality upon increasing the temperature.…”

Section: Discussionsupporting

confidence: 49%

“…Note that, in the non-equilibrium regime, an improved device modeling including the island's Joule heating by the applied dc voltage bias could be developed without unknown parameters, using the electronphonon heat transfer previously obtained for this metallic island : J ph heat ≃ 3.9 10 −8 (T 5.85 Ω −T 5.85 ) W, with T Ω the electrons' temperature in the island [48]. Note also that the same sample was recently used in [52]. The most important difference with this previous work is that the device was tuned in a regime where the island's charge is quantized in [52], which allowed us to implement the 'charge' equivalent of a magnetic Kondo impurity.…”

Section: Samplementioning

confidence: 99%

See 1 more Smart Citation

Circuit Quantum Simulation of a Tomonaga-Luttinger Liquid with an Impurity

et al. 2018

Self Cite

View full text Add to dashboard Cite

The Tomonaga-Luttinger liquid (TLL) concept is believed to generically describe the stronglycorrelated physics of one-dimensional systems at low temperatures. A hallmark signature in 1D conductors is the quantum phase transition between metallic and insulating states induced by a single impurity. However, this transition impedes experimental explorations of real-world TLLs. Furthermore, its theoretical treatment, explaining the universal energy rescaling of the conductance at low temperatures, has so far been achieved exactly only for specific interaction strengths. Quantum simulation can provide a powerful workaround. Here, a hybrid metal-semiconductor dissipative quantum circuit is shown to implement the analogue of a TLL of adjustable electronic interactions comprising a single, fully tunable scattering impurity. Measurements reveal the renormalization group 'beta-function' for the conductance that completely determines the TLL universal crossover to an insulating state upon cooling. Moreover, the characteristic scaling energy locating at a given temperature the position within this conductance renormalization flow is established over nine decades versus circuit parameters, and the out-of-equilibrium regime is explored. With the quantum simulator quality demonstrated from the precise parameter-free validation of existing and novel TLL predictions, quantum simulation is achieved in a strong sense, by elucidating interaction regimes which resist theoretical solutions.

show abstract

Section: Discussionsupporting

confidence: 49%

Section: Samplementioning

confidence: 99%

Circuit Quantum Simulation of a Tomonaga-Luttinger Liquid with an Impurity

et al. 2018

Self Cite

View full text Add to dashboard Cite

show abstract

“…Although QPTs have been studied in various highly-correlated systems, it is still challenging to realize them in controlled experimental systems. Recently, QCP have been studied for the multi-channel Kondo effect realized in artificial nano structures [2][3][4][5][6][7], and quantum critical behavior observed experimentally via electronic transport properties is in good agreement with theoretical results [8][9][10]. This great success encourages further study of QCP in transport properties using different mesoscopic systems.…”

Section: Introductionmentioning

confidence: 73%

Quantum critical phenomena in heat transport via a two-state system

Yamamoto

Katô

2018

Phys. Rev. B

View full text Add to dashboard Cite

We present a theoretical study of the quantum critical behavior in heat transport via a twostate system with sub-ohmic reservoirs. We calculate the temperature dependence of the thermal conductance near the quantum phase transition via the continuous-time quantum Monte Carlo method and discuss its critical exponents. We also propose a superconducting circuit to realize the sub-ohmic spin-boson model that can be used to observe quantum critical phenomena. arXiv:1809.03688v2 [cond-mat.mes-hall]

show abstract

“…In contrast, 2-channel and 3-channel Kondo phenomenology has already been reported in devices based on charge implementations of the impurity pseudospin. 81 Our work lays the foundation for the implementation of quantum computation in Kondo systems. Yet, several important extensions of this work can be envisioned.…”

Section: Discussionmentioning

confidence: 98%

“…76,77 Experimental signatures of the two-channel Kondo effect and, recently, even of the three-channel case are presently available using a charge pseudospin. [78][79][80][81] So far we have argued for the existence of quasiparticle fractionalization in NCK systems. Furthermore, we re- viewed the experimental relevance and feasibility of NCK in highly tunable and accessible devices.…”

Section: Introductionmentioning

confidence: 99%

Anyons in multichannel Kondo systems

2020

View full text Add to dashboard Cite

Fractionalized quasiparticles -anyons -bear a special role in present-day physics. At the same time, they display properties of interest both foundational, with quantum numbers that transcend the spin-statistics laws, and applied, providing a cornerstone for decoherence-free quantum computation. The development of platforms for realization and manipulation of these objects, however, remains a challenge. Typically these entail the zero-temperature ground-state of incompressible, gapped fluids. Here, we establish a strikingly different approach: the development and probing of anyon physics in a gapless fluid. The platform of choice is a chiral, multichannel, multi-impurity realization of the Kondo effect. We discuss how, in the proper limit, anyons appear at magnetic impurities, protected by an asymptotic decoupling from the fluid and by the emerging Kondo length scale. We discuss possible experimental realization schemes using integer quantum Hall edges. The gapless and charged degrees of freedom coexistent with the anyons suggest the possibility of extracting quantum information data by transport and simple correlation functions. To show that this is the case, we generalize the fusion ansatz of Cardy's boundary conformal field theory, now in the presence of multiple localized perturbations. The generalized fusion ansatz captures the idea that multiple impurities share quantum information non-locally, in a way formally identical to anyonic zero modes. We display several examples supporting and illustrating this generalization and the extraction of quantum information data out of two-point correlation functions. With the recent advances in mesoscopic realizations of multichannel Kondo devices, our results imply that exotic anyon physics may be closer to reach than presently imagined. arXiv:1911.06336v1 [cond-mat.str-el]

show abstract

Tunable quantum criticality and super-ballistic transport in a “charge” Kondo circuit

Cited by 132 publications

References 51 publications

Circuit Quantum Simulation of a Tomonaga-Luttinger Liquid with an Impurity

Circuit Quantum Simulation of a Tomonaga-Luttinger Liquid with an Impurity

Quantum critical phenomena in heat transport via a two-state system

Anyons in multichannel Kondo systems

Contact Info

Product

Resources

About