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Experimental Observation of the Yang-Lee Quantum Criticality in Open Quantum Systems.
Phys Rev Lett
April 2024
Beijing Computational Science Research Center, Beijing 100084, China.
The Yang-Lee edge singularity was originally studied from the standpoint of mathematical foundations of phase transitions. However, direct observation of anomalous scaling with the negative scaling dimension has remained elusive due to an imaginary magnetic field required for the nonunitary criticality. We experimentally implement an imaginary magnetic field with an open quantum system of heralded single photons, directly measure the partition function, and demonstrate the Yang-Lee edge singularity via the quantum-classical correspondence.
View Article and Find Full Text PDFCorner transfer matrix approach to the Yang-Lee singularity in the two-dimensional Ising model in a magnetic field.
Phys Rev E
December 2023
Department of Fundamental and Theoretical Physics, The Australian National University, Canberra, ACT 2601, Australia.
We study the two-dimensional (2D) Ising model in a complex magnetic field in the vicinity of the Yang-Lee edge singularity. By using Baxter's variational corner transfer matrix method combined with analytic techniques, we numerically calculate the scaling function and obtain an accurate estimate of the location of the Yang-Lee singularity. The existing series expansions for susceptibility of the 2D Ising model on a triangular lattice by Chan, Guttmann, Nickel, and Perk allowed us to substantially enhance the accuracy of our calculations.
View Article and Find Full Text PDFYang-Lee Zeros, Semicircle Theorem, and Nonunitary Criticality in Bardeen-Cooper-Schrieffer Superconductivity.
Phys Rev Lett
November 2023
Department of Physics, University of Tokyo, 7-3-1 Hongo, Tokyo 113-0033, Japan.
Yang and Lee investigated phase transitions in terms of zeros of partition functions, namely, Yang-Lee zeros [Phys. Rev. 87, 404 (1952)PHRVAO0031-899X10.
View Article and Find Full Text PDFProposal for Observing Yang-Lee Criticality in Rydberg Atomic Arrays.
Phys Rev Lett
August 2023
Department of Physics, National University of Singapore, Singapore 117551, Singapore.
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.
View Article and Find Full Text PDFPseudo-Yang-Lee Edge Singularity Critical Behavior in a Non-Hermitian Ising Model.
Entropy (Basel)
July 2020
Department of Physics, Tsinghua University, Beijing 100084, China.
The quantum phase transition of a one-dimensional transverse field Ising model in an imaginary longitudinal field is studied. A new order parameter is introduced to describe the critical behaviors in the Yang-Lee edge singularity (YLES). The does not diverge at the YLES point, a behavior different from other usual parameters.
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