Many-Body Dynamics of Exciton Creation in a Quantum Dot by Optical Absorption: A Quantum Quench towards Kondo Correlations

Türeci, Hakan E.; Hanl, Markus; Claassen, Martin; Weichselbaum, Andreas; Hecht, T.; Braunecker, Bernd; Govorov, Alexander O.; Glazman, L. I.; İmamoğlu, Ataç; Delft, Jan von

doi:10.1103/physrevlett.106.107402

Cited by 69 publications

(93 citation statements)

References 21 publications

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“…The tools to do so using NRG have become accessible only rather recently. 10,22,23,26 One considers a sudden change in some local term in the Hamiltonian and studies the subsequent time-evolution, characterized, for example, by the quantity G I |e −iĤFt |G I . Its numerical evaluation requires the calculation of overlaps of eigenstates ofĤ I andĤ F .…”

Section: Discussionmentioning

confidence: 99%

“…More recently, there has also been growing interest in inducing such a sudden switch, or quantum quench, by optical excitations of a quantum dot tunnel-coupled to a Fermi sea, in which case the post-quench dynamics leaves fingerprints, characteristic of AO, in the optical absorption or emission line shape. [9][10][11] The intrinsic connection of local quantum quenches to the scaling of the Anderson orthogonality with system size can be intuitively understood as follows. Consider an instantaneous event at the location of the impurity at time t = 0 in a system initially in equilibrium.…”

Section: Introductionmentioning

confidence: 99%

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Anderson orthogonality and the numerical renormalization group

2011

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Anderson Orthogonality (AO) refers to the fact that the ground states of two Fermi seas that experience different local scattering potentials, say |GI and |GF , become orthogonal in the thermodynamic limit of large particle number N , in that | GI|GF | ∼ N − 1 2 ∆ 2 AO for N → ∞. We show that the numerical renormalization group offers a simple and precise way to calculate the exponent ∆AO: the overlap, calculated as function of Wilson chain length k, decays exponentially, ∼ e −kα , and ∆AO can be extracted directly from the exponent α. The results for ∆AO so obtained are consistent (with relative errors typically smaller than 1%) with two other related quantities that compare how ground state properties change upon switching from |GI to |GF : the difference in scattering phase shifts at the Fermi energy, and the displaced charge flowing in from infinity. We illustrate this for several nontrivial interacting models, including systems that exhibit population switching.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Anderson orthogonality and the numerical renormalization group

2011

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“…Comparison of (f) and (g) with (e) shows average charge differences of +1 and −1, respectively, in accord with the Hopfield-type argument summarized by Eq. (15).…”

Section: A Local Charge Modelmentioning

confidence: 99%

“…27 Another example is the Kondo exciton discussed in Refs. 15,16, where the absorption of a photon by a quantum dot is accompanied by the creation of an electron-hole pair on the dot, described byĈ † =ê † and X † =ĥ † , respectively. In this example, the hole numbern h =ĥ †ĥ is conserved, but the dot electron number n e =ê †ê is not, since the Hamiltonian contains dot-lead hybridization terms of the form (ê †ĉ +ĉ †ê ) (see Refs.…”

Section: B Ao and The Displaced Chargementioning

confidence: 99%

“…AO underlies the physics of numerous dynamical phenomena such as the Fermi edge singularity, 3-6 the Altshuler-Aronov zero bias anomaly 7 in disordered conductors, tunnelling in metals 8 and into strongly interacting Luttinger liquids, [9][10][11][12][13] and optical absorption involving a Kondo exciton, [14][15][16] where photon absorption induces a local quantum quench, to name but a few. Recently, AO has also been evoked 17,18 in an analysis of population switching (PS) in quantum dots (the fact that the population of individual levels of a quantum dot may vary non-monotonically with the gate voltage), and was argued to lead, under certain conditions involving a local Coulomb interaction with a nearby charge sensor, to a quantum phase transition.…”

Section: Introductionmentioning

confidence: 99%

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Anderson orthogonality in the dynamics after a local quantum quench

et al. 2012

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We present a systematic study of the role of Anderson orthogonality for the dynamics after a quantum quench in quantum impurity models, using the numerical renormalization group. As shown by Anderson in 1967, the scattering phase shifts of the single-particle wave functions constituting the Fermi sea have to adjust in response to the sudden change in the local parameters of the Hamiltonian, causing the initial and final ground states to be orthogonal. This so-called Anderson orthogonality catastrophe also influences dynamical properties, such as spectral functions. Their low-frequency behaviour shows non-trivial power laws, with exponents that can be understood using a generalization of simple arguments introduced by Hopfield and others for the X-ray edge singularity problem. The goal of this work is to formulate these generalized rules, as well as to numerically illustrate them for quantum quenches in impurity models involving local interactions. As a simple yet instructive example, we use the interacting resonant level model as testing ground for our generalized Hopfield rule. We then analyse a model exhibiting population switching between two dot levels as a function of gate voltage, probed by a local Coulomb interaction with an additional lead serving as charge sensor. We confirm a recent prediction that charge sensing can induce a quantum phase transition for this system, causing the population switch to become abrupt. We elucidate the role of Anderson orthogonality for this effect by explicitly calculating the relevant orthogonality exponents.

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Holographic impurities and Kondo effect

Erdmenger

Flory

Hoyos

et al. 2016

Fortschritte der Physik

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Magnetic impurities are responsible for many interesting phenomena in condensed matter systems, notably the Kondo effect and quantum phase transitions. Here we present a holographic model of a magnetic impurity that captures the main physical properties of the large-spin Kondo effect. We estimate the screening length of the Kondo cloud that forms around the impurity from a calculation of entanglement entropy and show that our results are consistent with the g-theorem.

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Many-Body Dynamics of Exciton Creation in a Quantum Dot by Optical Absorption: A Quantum Quench towards Kondo Correlations

Cited by 69 publications

References 21 publications

Anderson orthogonality and the numerical renormalization group

Anderson orthogonality and the numerical renormalization group

Anderson orthogonality in the dynamics after a local quantum quench

Holographic impurities and Kondo effect

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