Replica Symmetry Breaking in Cold Atoms and Spin Glasses

Abstract

We consider a system composed by N atoms trapped within a multimode cavity, whose theoretical description is captured by a disordered multimode Dicke model. We show that in the resonant, zero field limit the system exactly realizes the Sherrington-Kirkpatrick model. Upon a redefinition of the temperature, the same dynamics is realized in the dispersive, strong field limit. This regime also gives access to spin-glass observables which can be used to detect Replica Symmetry Breaking.

6 pages, 3 figures

References in corpus (6)

• Direct observation of Anderson localization of matter-waves in a controlled disorder
• Quantum phase transitions of light
• The mode-locking transition of random lasers
• Phase diagram and complexity of mode-locked lasers: from order to disorder
• Disorder-Induced Order in Two-Component Bose-Einstein Condensates
• Physical replicas and the Bose-glass in cold atomic gases

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• Far from equilibrium field theory for strongly coupled light and matter: dynamics of frustrated multi-mode cavity QED
• Entanglement dynamics in random media
• Quantum-to-classical crossover in the spin glass dynamics of cavity QED simulators
• Optimal storage capacity of quantum Hopfield neural networks
• Directly observing replica symmetry breaking in a vector quantum-optical spin glass
• The Sherrington-Kirkpatrick model for spin glasses: A new approach for the solution