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The statics of the Fredrickson-Andersen model (FAM) of the liquid-glass transition is solved on the Bethe lattice (BL). The kinetic constraints of the FAM imply on the BL an ergodicity-breaking transition to a (glassy) phase where a fraction of spins of the system is permanently blocked, and the remaining "free" spins become nontrivially correlated. We compute several observables of the ergodicity-broken phase, such as the self-overlap, the configurational entropy, and the spin-glass susceptibility, and we compare the analytical predictions with numerical experiments.

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Evidence for a Griffiths Phase to Cluster Spin Glass Transition in the LaSr(Mn Al Ti)O System.

Adv Sci (Weinh)

December 2024

School of Science, MOE Key Laboratory for Nonequilibrium Synthesis and Modulation of Condensed Matter, Frontier Institute of Science and Technology, State Key Laboratory for Mechanical Behaviour of Materials, Xi'an Jiaotong University, Xi'an, 710049, China.

Article Synopsis
  • Griffiths phase and cluster spin glass transitions have been predicted in both classical and quantum systems, but experimental evidence in classical systems has been lacking for decades.
  • Recent experiments have successfully identified the Griffiths phase to cluster spin glass transition in diluted ferromagnets LaSr(Mn Al Ti)O (0 ≤ x ≤ 0.12), revealing key transitions in the phase diagram depending on disorder concentration.
  • The results highlight that the Griffiths phase behaves like an unfrozen cluster spin glass with partially broken ergodicity, providing valuable insights for further research on disordered magnets and their unique properties.
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We have synthesized δ-CoZnMn ( = 0.4-3.5) pseudo-binary alloys of 10 different compositions by a high-temperature solid-state synthetic route, determined their crystal structures and the Mn substitution pattern, and estimated the existence range of the δ-phase.

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Ergodicity breaking from Rydberg clusters in a driven-dissipative many-body system.

Sci Adv

March 2024

Department of Physics, Joint Quantum Centre (JQC) Durham-Newcastle, Durham University, South Road, Durham DH1 3LE, United Kingdom.

It is challenging to probe ergodicity breaking trends of a quantum many-body system when dissipation inevitably damages quantum coherence originated from coherent coupling and dispersive two-body interactions. Rydberg atoms provide a test bed to detect emergent exotic many-body phases and nonergodic dynamics where the strong Rydberg atom interaction competes with and overtakes dissipative effects even at room temperature. Here, we report experimental evidence of a transition from ergodic toward ergodic breaking dynamics in driven-dissipative Rydberg atomic gases.

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Measurement-Induced Quantum Synchronization and Multiplexing.

Phys Rev Lett

January 2024

Institute for Theoretical Physics I, University of Stuttgart, D-70550 Stuttgart, Germany.

Measurements are able to fundamentally affect quantum dynamics. We here show that a continuously measured quantum many-body system can undergo a spontaneous transition from asynchronous stochastic dynamics to noise-free stable synchronization at the level of single trajectories. We formulate general criteria for this quantum phenomenon to occur and demonstrate that the number of synchronized realizations can be controlled from none to all.

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