Proposal for Observing Yang-Lee Criticality in Rydberg Atomic Arrays

Abstract

Yang-Lee edge singularities (YLES) are the edges of the partition function zeros of an interacting spin model in the space of complex control parameters. They play an important role in understanding non-Hermitian phase transitions in many-body physics, as well as characterizing the corresponding nonunitary criticality. Even though such partition function zeroes have been measured in dynamical experiments where time acts as the imaginary control field, experimentally demonstrating such YLES criticality with a physical imaginary field has remained elusive due to the difficulty of physically realizing non-Hermitian many-body models. We provide a protocol for observing the YLES by detecting kinked dynamical magnetization responses due to broken PT symmetry, thus enabling the physical probing of nonunitary phase transitions in nonequilibrium settings. In particular, scaling analyses based on our nonunitary time evolution circuit with matrix product states accurately recover the exponents uniquely associated with the corresponding nonunitary CFT. We provide an explicit proposal for observing YLES criticality in Floquet quenched Rydberg atomic arrays with laser-induced loss, which paves the way towards a universal platform for simulating non-Hermitian many-body dynamical phenomena.

21 pages, 12 figures, published in PRL

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Cited by in corpus (20)

• Topological Non-Hermitian skin effect
• Non-Hermitian strongly interacting Dirac fermions: a quantum Monte-Carlo study
• Observation of the non-Hermitian skin effect and Fermi skin on a digital quantum computer
• Yang-Lee Zeros, Semicircle Theorem, and Nonunitary Criticality in Bardeen-Cooper-Schrieffer Superconductivity
• Kinked linear response from non-Hermitian cold-atom pumping
• Identifying non-Hermitian critical points with quantum metric
• Scaling and Universality at Ramped Quench Dynamical Quantum Phase Transition
• Waveguide QED with dissipative light-matter couplings
• Dynamical signatures of the Yang-Lee edge singularity in non-Hermitian systems
• Yang-Lee Zeros in Quantum Phase Transition: An Entanglement Perspective
• Characterizing phase transitions and criticality in non-Hermitian extensions of the XY model
• Yang-Lee edge singularity and quantum criticality in non-Hermitian PXP model
• Tuning excitation transport in a dissipative Rydberg ring
• Transfer learning from Hermitian to non-Hermitian quantum many-body physics
• Non-Hermitian ultra-strong bosonic clustering through interaction-induced caging
• Non-Hermitian chiral anomalies in interacting systems
• Efficient preparation of the AKLT State with Measurement-based Imaginary Time Evolution
• Characterizing the Yang-Lee zeros of the classical Ising model through dynamic quantum phase transitions
• Reciprocal Floquet thermalization in one-dimensional Rydberg atom array
• Engineering the non-Hermitian Su-Schrieffer-Heeger model with skin effects in Rydberg atom arrays