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Entanglement in the Kondo Spin Chain Abolfazl Bayat 1, Sougato Bose 1, Pasquale Sodano 2 1 University College London, London, UK. 2 University of Perugia, Perugia, Italy. Engineering of States and Devices: Theory and Experiments
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Contents of the Talk Condensed Matter Quantum Information 1. Kondo physics 2. Entanglement in the Kondo ground state 3. Generating a long range entanglement
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Gapped Systems Ground state Excited states The intrinsic length scale of the system impose an exponential decay
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Gapless Systems Ground state Continuum of excited states There is no length scale in the system so correlations decay algebraically
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Kondo Physics Despite the gapless nature of the Kondo system, correlations decay exponentially
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Kondo Spin Chain E. S. Sorensen et al., J. Stat. Mech., P08003 (2007)
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Entanglement as a Witness of the Cloud A B Impurity L
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Scaling Kondo Phase: Dimer Phase: A B Impurity L N-L-1
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Scaling Properties of the Kondo regime Kondo Phase: Dimer Phase:
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Local Quench Quench
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Kondo versus Dimer
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Optimal Parameter
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Optimality and Distance independence Independent of length N, when cloud contains N-2 spins we generate a constant Entanglement
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Modified Strategy
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Entanglement in the Modified Strategy Kondo: High value distance independent entanglement mediated by the cloud. Dimer: Entanglement is just due to an end-end effect which decays exponentially.
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More fun with Kondo
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Entanglement Rotor Dispatching centre With interacting the clouds impurities get entangled
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Summary of Results With using the entanglement measures, one can capture the properties of the Kondo physics. A local quench generates an oscillatory dynamics in the Kondo regime. Kondo cloud mediates long range distance independent entanglement between individual ending. References: 1- Abolfazl Bayat, Pasquale Sodano, Sougato Bose, Physical Review B 81, 064429 (2010) 2- Pasquale Sodano, Abolfazl Bayat, Sougato Bose, Physical Review B 81, 100412(R) (2010)
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