Probing Yang-Lee Edge Singularity by Central Spin Decoherence

Abstract

Yang-Lee edge singularities are the branch point of the free energy on the complex plane of physical parameters and were shown to be the simplest universality class of phase transitions. However, the Yang-Lee edge singularities have not been regarded as experimentally observable since they occur at complex physical parameters, which are unphysical. A recent discovery about the relation between partition functions and probe spin coherence makes it experimentally feasible to access the complex plane of physical parameters. However, how to extract the critical point and the critical exponent of Yang-Lee edge singularities in many-body systems, which occurs only at thermodynamic limit, has still been elusive. Here we show that the quantum coherence of a probe spin coupled to finite-size Ising-type spin systems presents universal scaling behavior near the Yang-Lee edge singularity. The finite-size scaling behavior of quantum coherence of the probe spin predicts that one can extract the critical point and the critical exponent of the Yang-Lee edge singularity of Ising-type spin system in the thermodynamic limit from the spin coherence measurement of the probe spin coupled to finite Ising-type spin systems. This finding provides a practical approach to studying the nature of Yang-Lee edge singularities of many-body systems.

5 pages,3 figures

References in corpus (4)

• Quantum many-body theory of qubit decoherence in a finite-size spin bath
• Observation of Lee-Yang zeros
• Quantum many-body theory of qubit decoherence in a finite-size spin bath. II. Ensemble dynamics
• Kibble-Zurek scaling in the Yang-Lee edge singularity

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• Experimental observation of the Yang-Lee quantum criticality in open systems
• Quantum Work Relations and Response Theory in $\mathcal{P}\mathcal{T}$-Symmetric Quantum Systems
• Probing Conformal Invariant of Non-unitary Two-Dimensional Systems by Central Spin Decoherence
• Links between Dissipation and Rényi Divergences in $\mathcal{P}\mathcal{T}$-Symmetric Quantum Mechanics
• Relations between Heat Exchange and Rényi Divergences
• Dynamical signatures of the Yang-Lee edge singularity in non-Hermitian systems
• Yang-Lee Zeros in Quantum Phase Transition: An Entanglement Perspective
• Dissipation in the Generalized Gibbs Ensemble
• Yang-Lee edge singularity and quantum criticality in non-Hermitian PXP model
• Lee-Yang zeros and quantum Fisher information matrix in a nonlinear system
• Characterizing the Yang-Lee zeros of the classical Ising model through dynamic quantum phase transitions
• Fluctuation Relations for Heat Exchange in the Generalized Gibbs Ensemble