Self-induced glassy phase in multimodal cavity quantum electrodynamics

• URL: http://arxiv.org/abs/2101.03754v1
• Date: Mon, 11 Jan 2021 08:23:20 GMT
• Title: Self-induced glassy phase in multimodal cavity quantum electrodynamics
• Authors: Vittorio Erba, Mauro Pastore, Pietro Rotondo
• Abstract summary: We present results showing that the system has a low-temperature glassy phase. For rational values of the only free adimensional parameter $alpha=p/q$ of the interaction, the number of metastable states at low temperature grows exponentially.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We provide strong evidence that the effective spin-spin interaction in a multimodal confocal optical cavity gives rise to a self-induced glassy phase, which emerges exclusively from the peculiar euclidean correlations and is not related to the presence of disorder as in standard spin glasses. As recently shown, this spin-spin effective interaction is both non-local and non-translational invariant, and randomness in the atoms positions produces a spin glass phase. Here we consider the simplest feasible disorder-free setting where atoms form a one-dimensional regular chain and we study the thermodynamics of the resulting effective Ising model. We present extensive results showing that the system has a low-temperature glassy phase. Notably, for rational values of the only free adimensional parameter $\alpha=p/q$ of the interaction, the number of metastable states at low temperature grows exponentially with $q$ and the problem of finding the ground state rapidly becomes computationally intractable, suggesting that the system develops high energy barriers and ergodicity breaking occurs.

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