Manipulating Non-Abelian Anyons in a Chiral Multichannel Kondo Model

Lotem, Matan; Sela, Eran; Goldstein, Moshe

doi:10.1103/physrevlett.129.227703

Cited by 15 publications

(2 citation statements)

References 46 publications

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“…Actually, the symmetric coupling that triggers quantum frustration at QCP produces a non-trivial residue degeneracy, which is another important feature of QPT [1,4]. This residue degeneracy, heavily focused on recently as a QPT-induced "anyon" [14][15][16][17][18], has been proposed as an amplifier of topological non-triviality [19]. As another example, a Berezinskii-Kosterlitz-Thouless (BKT) transition is predicted in a dissipative resonant level model (DRLM) [12,20], between the ballistic-transmission and isolated-impurity phases.…”

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confidence: 99%

Influence of Majorana-parity degeneracy on the boundary Berezinskii-Kosterlitz-Thouless quantum phase transition of a dissipative resonant level

Z¹,

Cao²,

Liu³

2023

Preprint

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confidence: 99%

Influence of Majorana-parity degeneracy on the boundary Berezinskii-Kosterlitz-Thouless quantum phase transition of a dissipative resonant level

Z¹,

Cao²,

Liu³

2023

Preprint

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“…Especially, the fact that the non-Fermi liquid phase appears in the MCKI models makes it more interesting to study due to its relevance to the quantum chaos [24,25]. Additionally, the existence of fractionalized excitations in the MCKI model [26] serves as a significant motivation for recent researches on its non-equilibrium properties, specifically in relation to the manipulation of qubit states in quantum computing physics.…”

mentioning

confidence: 99%

Thermalization and transient dynamics in Multi-Channel Kondo systems under the quantum quench: Large-$N$ Schwinger-Keldysh approach

Jang¹,

Chang²

2023

Preprint

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Understanding properties in out-of-equilibrium many-body quantum systems is an essential task in modern physics. While cutting-edge numerical methods have been developed, extracting the universal dynamics of generic many-body quantum systems remains a big challenge. The multi-channel Kondo impurity (MCKI) model, one of the exotic phases of matter that hosts an over-screened Kondo state with non-Fermi liquid properties, provides a platform for theoretically studying the universal properties of quantum dynamics in many-body systems. By using the large-N Schwinger-Keldysh approach, we systematically investigate transient dynamics and long-time thermalization properties in MCKI under a sudden change of the Kondo coupling. First, we observe oscillations of physical observables such as spin-spin correlations, the Kondo order parameter, and the Kondo energy density for the initial state being an over-screened Kondo state. These oscillations can be interpreted as the quantum revival of the entangled state that describes the over-screened Kondo state. On the other hand, for the initial state that is the high-temperature Fermi liquid, there are no oscillations due to the de-phasing mechanism. Second, we find thermalization properties such as the thermalization time and the final effective temperature strongly depend on the initial state and the quench protocol. The equilibration happens when the Kondo coupling is suddenly increasing under certain conditions. When the Kondo coupling constant is reduced, we observe incoherent thermalization between the impurity and the conduction electrons from the non-vanishing difference between the final effective temperatures between the Abrikosov fermion representing the impurity and the composite boson composed by the Abrikosov fermion and conduction electrons. Additionally, the quantum cooling effect, the consideration of the 1/N correction to the conduction electrons, and quantum Boltzmann equations are discussed. Our approach sets the groundwork for investigations of more complex many-body systems, and our results reveal several universal properties of quantum dynamics and offer deeper insight into quantum thermalization.

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A mesoscopic device for a realization of the topological Kondo effect

Sarkar,

Tsvelik

2024

New J. Phys.

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The search for anyons is a field of immense interest owing to its potential application in the field of quantum information. Quantum critical Kondo impurities constitute one possible platform for their realization and Topological Kondo effect (TKE) by virtue of remaining critical in the presence of perturbations, seems to be especially promising in this regard. In this paper we discuss practical steps for a realization of TKE with a relatively high Kondo temperature TK. Its central feature is the so-called Majorana-Cooper box (MCB) and we argue that a particular type of iron-based topological superconductor is especially suitable for realization of TKE. Once MCB is available one needs to connect it to external metallic leads to produce TKE. A relatively high value of the Kondo temperature TK is then aided by a large superconducting gap of the iron-based superconductor. We give estimates for TK, for the cases of both isotropic and anisotropic exchange couplings of MCB with the leads.

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Manipulating Non-Abelian Anyons in a Chiral Multichannel Kondo Model

Cited by 15 publications

References 46 publications

Influence of Majorana-parity degeneracy on the boundary Berezinskii-Kosterlitz-Thouless quantum phase transition of a dissipative resonant level

Influence of Majorana-parity degeneracy on the boundary Berezinskii-Kosterlitz-Thouless quantum phase transition of a dissipative resonant level

Thermalization and transient dynamics in Multi-Channel Kondo systems under the quantum quench: Large-$N$ Schwinger-Keldysh approach

A mesoscopic device for a realization of the topological Kondo effect

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