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Open Quantum Systems Decoherence Quantum Simulation

The de Almeida–Thouless Line in Hierarchical Quantum Spin Glasses

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Authors: Chokri Manai, Simone Warzel

Year

2021

Paper ID

13717

Status

Peer-reviewed

Abstract Read

~2 min

Abstract Words

108

Citations

9

Abstract

AbstractWe determine explicitly and discuss in detail the effects of the joint presence of a longitudinal and a transversal (random) magnetic field on the phases of the Random Energy Model and its hierarchical generalization, the GREM. Our results extent known results both in the classical case of vanishing transversal field and in the quantum case for vanishing longitudinal field. Following Derrida and Gardner, we argue that the longitudinal field has to be implemented hierarchically also in the Quantum GREM. We show that this ensures the shrinking of the spin glass phase in the presence of the magnetic fields as is also expected for the Quantum Sherrington–Kirkpatrick model.

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  • AbstractWe determine explicitly and discuss in detail the effects of the joint presence of a longitudinal and a transversal (random) magnetic field on the phases of the Random...

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References & Citation Signals

[1] DOI https://doi.org/10.1007/s10955-021-02860-9 [2] Publisher https://doi.org/10.1007/s10955-021-02860-9

Local Citation Graph (Related-Paper Links)

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External citation index: OpenAlex citation signal • updated 2026-10-22 14:16:33

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