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      Entanglement and replica symmetry breaking in a driven-dissipative quantum spin glass

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          Abstract

          We describe simulations of the quantum dynamics of a confocal cavity QED system that realizes an intrinsically driven-dissipative spin glass. We observe that entanglement plays an important role in the emergence of replica symmetry breaking in a fully connected, frustrated spin network of up to fifteen spin-1/2 particles. A glassy energy landscape emerges as the system is pumped through a Hepp-Lieb-Dicke superradiant transition. We find that the quantum dynamics, whose individual trajectories involve entangled states, reach steady-state spin configurations of lower energy than that of semiclassical trajectories. Cavity emission allows monitoring of the continuous stochastic evolution of spin configurations, while backaction from this projects entangled states into states of broken Ising and replica symmetry. Each many-body quantum trajectory simulation of the same spin network constitutes a replica. The emergence of spin glass order manifests itself through the simultaneous absence of magnetization and the presence of nontrivial spin overlap density distributions among replicas. Moreover, these overlaps reveal incipient ultrametric order, in line with the Parisi RSB solution ansatz for the Sherrington-Kirkpatrick model. A nonthermal Parisi order parameter distribution, however, highlights the driven-dissipative nature of this quantum optical spin glass. This practicable system could serve as a testbed for exploring how quantum effects enrich the physics of spin glasses.

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          Author and article information

          Journal
          19 July 2023
          Article
          2307.10176
          1ea20c21-c5ea-493f-9f4a-39354c115b18

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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          Custom metadata
          20 pages including 11 figures and 7 appendices
          quant-ph cond-mat.dis-nn cond-mat.quant-gas cond-mat.stat-mech

          Condensed matter,Quantum physics & Field theory,Quantum gases & Cold atoms,Theoretical physics

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