Realization of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>SU</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>N</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>Kondo Effect in a Strong Magnetic Field

Carmi, Assaf; Oreg, Yuval; Berkooz, Micha

doi:10.1103/physrevlett.106.106401

Cited by 25 publications

(41 citation statements)

References 29 publications

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“…(8). Hence, the place where one of the g eff ξ (ξ = ±) diverges (i.e., the place whereg ξ = α n (n = 1, 2, 3, · · · )) gives rise to a resonant spin-exchanging scattering.…”

Section: Results and Analysismentioning

confidence: 99%

“…Exploring these phenomena with cold atom systems have a list of advantages, for instance, one can access physical quantities that have not been measured before in their condensed matter realizations, and one can also study non-equilibrium dynamics in a highly controllable way. However, until now there is still one important category that has not been experimentally realized with cold atom systems yet, despite of quite a few existing proposals [5][6][7][8][9][10][11][12][13][14], and that is the Kondo physics.The Kondo model describes the spin-exchanging interaction between localized impurities and the itinerant fermions [15]. The alkaline-earth atomic gases have natural advantages for performing quantum simulation of the Kondo model.…”

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confidence: 99%

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Enhancing Kondo coupling in alkaline-earth-metal atomic gases with confinement-induced resonances in mixed dimensions

et al. 2017

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The Kondo effect describes the spin-exchanging interaction between localized impurity and the itinerant fermions. The ultracold alkaline-earth atomic gas provides a natural platform for quantum simulation of the Kondo model, utilizing its long-lived clock state and the nuclear-spin exchanging interaction between the clock state and the ground state. One of the key issue now is whether the Kondo temperature can be high enough to be reached in current experiment, for which we have proposed using a transverse confinement to confine atoms into a one-dimensional tube and to utilize the confinement-induced resonance to enhance the Kondo coupling. In this work, we further consider the 1 + 0 dimensional scattering problem when the clock state is further confined by an axial harmonic confinement. We show that this axial confinement for the clock state atoms not only plays a role for localizing them, but also can act as an additional control knob to reach the confinement-induced resonance. We show that by combining both the transverse and the axial confinements, the confinement-induced resonance can be reached in the practical conditions and the Kondo effect can be attainable in this system. I. MOTIVATION AND BACKGROUNDIn the past decades, experiments in cold atom systems have successfully explored many intriguing quantum many-body phenomena of different paradigms, including fermion pairing and the BCS-BEC crossover, the Bose and the Fermi Hubbard models [1], the KosterlizeThouless transition [1], one-dimensional integrable models [2], spin-orbit coupling [3] and topological models [4]. Exploring these phenomena with cold atom systems have a list of advantages, for instance, one can access physical quantities that have not been measured before in their condensed matter realizations, and one can also study non-equilibrium dynamics in a highly controllable way. However, until now there is still one important category that has not been experimentally realized with cold atom systems yet, despite of quite a few existing proposals [5][6][7][8][9][10][11][12][13][14], and that is the Kondo physics.The Kondo model describes the spin-exchanging interaction between localized impurities and the itinerant fermions [15]. The alkaline-earth atomic gases have natural advantages for performing quantum simulation of the Kondo model. The schematic energy level of single alkaline-earth atoms is shown in Fig. 1. First of all, there is a long-lived electronic excited state known as the clock state, usually denoted by |e . Atoms in this clock state generically has a different ac polarization comparing to atoms in their electronic ground state, usually denoted by |g , except for lasers with a magic wavelength [16,17]. Therefore, it is easy to realize a situation that lasers cre- * Electronic address: rine.zhang@gmail.com † Electronic address: pengzhang@ruc.edu.cn |e, "i |e, #i |g, #i |g, "i ate a deep lattice for |e -atoms and make them localized as impurities, while |g -atoms experience a quite shallow lattice and remain itinerant, as shown in...

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“…(8). Hence, the place where one of the g eff ξ (ξ = ±) diverges (i.e., the place whereg ξ = α n (n = 1, 2, 3, · · · )) gives rise to a resonant spin-exchanging scattering.…”

Section: Results and Analysismentioning

confidence: 99%

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confidence: 99%

Enhancing Kondo coupling in alkaline-earth-metal atomic gases with confinement-induced resonances in mixed dimensions

et al. 2017

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“…The use of double dots to realize pseudo-spin SU(2) Kondo model and its generalizations at ν = 1 integer quantum Hall regime was proposed in [32]. Here, we extend those ideas by studying the realization and transport properties of a Kondo impurity coupled to chiral Luttinger liquid edge states in the FQH regime.…”

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confidence: 83%

Orbital Kondo effect in fractional quantum Hall systems

Komijani¹,

Simon²,

Affleck³

2015

Phys. Rev. B

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We study transport properties of a charge qubit coupling two chiral Luttinger liquids, realized by two antidots placed between the edges of an integer ν = 1 or fractional ν = 1/3 quantum Hall bar. We show that in the limit of a large capacitive coupling between the antidots, their quasiparticle occupancy behaves as a pseudo-spin corresponding to an orbital Kondo impurity coupled to a chiral Luttinger liquid, while the inter antidot tunnelling acts as an impurity magnetic field. The latter tends to destabilize the Kondo fixed point for the ν = 1/3 fractional Hall state, producing an effective inter-edge tunnelling. We relate the inter-edge conductance to the susceptibility of the Kondo impurity and calculate it analytically in various limits for both ν = 1 and ν = 1/3.Introduction -Fractional quantum Hall (FQH) systems [1] are strongly correlated topological states, realized in clean two-dimensional electron gases under a large perpendicular magnetic field, where the bulk contains an incompressible fluid and the low energy dynamics is controlled by chiral Luttinger liquids at the edges [2]. There has recently been a renewed interest in these systems due to a promise of the celebrated topological quantum computation using non-abelian anyons [3][4][5][6] and also in connection to impurities in helical liquids of the quantum spin Hall systems [7][8][9][10][11]. However, there is still a considerable gap between theoretical and experimental studies of abelian anyons in the FQH edge states which motivates a more thorough study of their properties. Here, we study the problem of elastic co-tunnelling of Laughlin quasiparticles through two antidots and show that in certain limits, it maps to a Kondo impurity [12,13] embedded between two chiral Luttinger liquids [14,15,[17][18][19]44] and exhibits interesting transport signatures.Transport through antidots in the FQH regime has been studied in the past, experimentally [20][21][22][23][24][25] and theoretically [26][27][28][29] in a regime where the transport was dominated by correlated but incoherent transfers of individual quasiparticles. In contrast, in this paper we are interested in a regime where this sequential tunnelling is blocked due to a large inter-antidot capacitive coupling.Combining the pseudo-spin of a double dot with the intrinsic spin, Borda et al. [30] predicted an SU(4) Kondo effect which has been recently observed [31]. The use of double dots to realize pseudo-spin SU(2) Kondo model and its generalizations at ν = 1 integer quantum Hall regime was proposed in [32]. Here, we extend those ideas by studying the realization and transport properties of a Kondo impurity coupled to chiral Luttinger liquid edge states in the FQH regime. A similar model arises in the study of a double dot inserted in a spinless non-chiral Luttinger liquid, once the occupancy of the dots is limited so that they act as an effective spin. In contrast to most previous studies that focus on zero temperature, we provide analytical expressions for the conductance in all asymptotic temp...

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“…It follows that the wealth of precision quantum control techniques, which have been developed for the purpose of quantum metrology and quantum information using the clock-state manifolds ({ 1 S 0 , 3 P 0 }), can be employed to engineer highly non-trivial manybody scenarios . Recent studies in this regard range from interaction-induced topological states [32,33], to impurity problems such as the Kondo effects [34][35][36][37][38][39] and the polaron to molecule transitions [40,41]. Naturally, the key properties of these phenomena are firmly based on the features of interactions of an OFR.…”

Section: Introductionmentioning

confidence: 99%

Repulsive polarons in alkaline-earth-metal-like atoms across an orbital Feshbach resonance

Deng¹,

Lu²,

Shi³

et al. 2018

Phys. Rev. A

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We characterize properties of the so-called repulsive polaron across the recently discovered orbital Feshbach resonance in alkaline-earth(-like) atoms. Being a metastable quasiparticle excitation at the positive energy, the repulsive polaron is induced by the interaction between an impurity atom and a Fermi sea. By analyzing in detail the energy, the polaron residue, the effective mass, and the decay rate of the repulsive polaron, we reveal interesting features that are intimately related to the two-channel nature of the orbital Feshbach resonance. In particular, we find that the life time of the repulsive polaron is non-monotonic in the Zeeman-field detuning bewteen the two channels, and has a maximum on the BEC-side of the resonance. Further, by considering the stability of a mixture of the impurity and the majority atoms against phase separation, we show that the itinerant ferromagnetism may exist near the orbital Feshbach resonance at appropriate densities. Our results can be readily probed experimentally, and have interesting implications for the observation of itinerant ferromagnetism near an orbital Feshbach resonance.

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Realization of theSU(N)Kondo Effect in a Strong Magnetic Field

Cited by 25 publications

References 29 publications

Enhancing Kondo coupling in alkaline-earth-metal atomic gases with confinement-induced resonances in mixed dimensions

Enhancing Kondo coupling in alkaline-earth-metal atomic gases with confinement-induced resonances in mixed dimensions

Orbital Kondo effect in fractional quantum Hall systems

Repulsive polarons in alkaline-earth-metal-like atoms across an orbital Feshbach resonance

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