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Quantum Spin Glasses

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Quantum Annealing and Other Optimization Methods

Part of the book series: Lecture Notes in Physics ((LNP,volume 679))

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Abstract

In this chapter of this monograph we want to provide an overview on the current status of our knowledge on the theory of quantum spin glasses. Spin glasses are frustrated magnetic systems and a hallmark of their “glassiness” is the presence of a rugged energy landscape with many local minima. It appears obvious that in such an environment quantum effects might play an important role by opening new routes for relaxation due to quantum mechanical tunneling and indeed one observes experimentally a significant acceleration of the dynamics at low temperatures if quantum fluctuations are enhanced. Here we will first focus more on the equilibrium properties of disordered quantum magnets, with and without frustration, in particular to what is expected (theoretically) to happen at and close to a quantum critical point.

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Authors and Affiliations

  1. Theoretische Physik, Universität des Saarlandes, 66041 Saarbräcken, Germany

    Heiko Rieger

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  1. Heiko Rieger
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Arnab Das Bikas K. Chakrabarti

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Rieger, H. Quantum Spin Glasses. In: Das, A., K. Chakrabarti, B. (eds) Quantum Annealing and Other Optimization Methods. Lecture Notes in Physics, vol 679. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11526216_3

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  • DOI: https://doi.org/10.1007/11526216_3

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