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The Yang-Lee edge singularity is a quintessential nonunitary critical phenomenon accompanied by anomalous scaling laws. However, an imaginary magnetic field involved in this critical phenomenon makes its physical implementation difficult.…

统计力学 · 物理学 2022-06-07 Norifumi Matsumoto , Masaya Nakagawa , Masahito Ueda

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…

统计力学 · 物理学 2017-08-10 Bo-Bo Wei

The Yang-Lee edge singularity is an intriguing critical phenomenon characterized by nonunitary field theory. However, its experimental realization for interacting many-body systems remains elusive. We show that Yang-Lee edge singularities,…

量子气体 · 物理学 2025-02-25 Ming-Chu Lu , Shun-Hui Shi , Gaoyong Sun

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…

We show that a class of $\mathcal{PT}$ symmetric non-Hermitian Hamiltonians realizing the Yang-Lee edge singularity exhibits an entanglement transition in the long-time steady state evolved under the Hamiltonian. Such a transition is…

强关联电子 · 物理学 2021-10-12 Shao-Kai Jian , Zhi-Cheng Yang , Zhen Bi , Xiao Chen

The Yang-Lee universality class arises when imaginary magnetic field is tuned to its critical value in the paramagnetic phase of the $d<6$ Ising model. In $d=2$, this non-unitary Conformal Field Theory (CFT) is exactly solvable via the…

高能物理 - 理论 · 物理学 2025-12-03 Erick Arguello Cruz , Igor R. Klebanov , Grigory Tarnopolsky , Yuan Xin

We study the Yang-Lee theory in quantum phase transitions from the perspective of quantum entanglement in one-dimensional many-body systems. We primarily focus on the distribution of Yang-Lee zeros and its associated Yang-Lee edge…

量子物理 · 物理学 2025-01-31 Hongchao Li

We present a comprehensive theoretical framework for quantum criticality in the non-Hermitian detuned PXP model, and establish the complete phase diagram, which had remained elusive in previous studies. Starting from a numerically…

量子物理 · 物理学 2025-10-16 Wen-Yi Zhang , Meng-Yun Mao , Qing-Min Hu , Xinzhi Zhao , Gaoyong Sun , Wen-Long You

The Yang-Lee edge singularity is a prototypical example of the application of renormalization group ideas to critical behavior, and one to which Michael Fisher made several important contributions. Moreover it has connections to several…

统计力学 · 物理学 2023-05-23 John Cardy

The analytic structure of the partition function in finite-volume systems is investigated at complex chemical potentials in a minimal mean-field effective model of QCD with finite-size effects incorporated. We discuss the temperature…

高能物理 - 唯象学 · 物理学 2026-05-20 Tatsuya Wada , Győző Kovács , Masakiyo Kitazawa , Takahiro M. Doi

We study Ising Field Theory (the scaling limit of Ising model near the Curie critical point) in pure imaginary external magnetic field. We put particular emphasis on the detailed structure of the Yang-Lee edge singularity. While the leading…

高能物理 - 理论 · 物理学 2022-08-24 Hao-Lan Xu , Alexander Zamolodchikov

At the Yang-Lee edge singularity, finite-size scaling behavior is used to measure the low-lying excitation spectrum of the Ising quantum spin chain for free boundary conditions. The measured spectrum is used to identify the CFT that…

统计力学 · 物理学 2011-05-16 Smain Balaska , John F. McCabe , Tomasz Wydro

This paper studies the Yang-Lee edge singularity of 2-dimensional (2D) Ising model based on a quantum spin chain and transfer matrix measurements on the cylinder. Based on finite-size scaling, the low-lying excitation spectrum is found at…

统计力学 · 物理学 2015-05-14 Tomasz Wydro , John F. McCabe

The fuzzy sphere method has enjoyed great success in the study of (2+1)-dimensional unitary conformal field theories (CFTs) by regularizing them as quantum Hall transitions on the sphere. Here, we extend this approach to the Yang-Lee…

强关联电子 · 物理学 2025-05-13 Ruihua Fan , Junkai Dong , Ashvin Vishwanath

In this paper we study the non-unitary deformations of the two-dimensional Tricritical Ising Model obtained by coupling its two spin Z2 odd operators to imaginary magnetic fields. Varying the strengths of these imaginary magnetic fields and…

高能物理 - 理论 · 物理学 2023-02-22 Máté Lencsés , Alessio Miscioscia , Giuseppe Mussardo , Gábor Takács

We study a phase transition in a non-equilibrium model first introduced in [5], using the Yang-Lee description of equilibrium phase transitions in terms of both canonical and grand canonical partition function zeros. The model consists of…

统计力学 · 物理学 2007-05-23 Farhad H Jafarpour

We study the driven dynamics across the critical points of the Yang-Lee edge singularities (YLESes) in a finite-size quantum Ising chain with an imaginary symmetry-breaking field. In contrast to the conventional classical or quantum phase…

统计力学 · 物理学 2017-02-14 Shuai Yin , Guang-Yao Huang , Chung-Yu Lo , Pochung Chen

In quantum dynamics, the Loschmidt amplitude is analogous to the partition function in the canonical ensemble. Zeros in the partition function indicate a phase transition, while the presence of zeros in the Loschmidt amplitude indicates a…

量子物理 · 物理学 2025-04-10 Mingtao Xu , Wei Yi , De-Huan Cai

We show here for the one-dimensional spin-1/2 ANNNI (axial-next-to-nearest-neighbor-Ising) model in an external magnetic field that the linear density of Yang-Lee zeros may diverge with critical exponent $\sigma = -2/3$ at the Yang-Lee edge…

统计力学 · 物理学 2010-12-21 D. Dalmazi , F. L. Sa

The 1+1D Ising model is an ideal benchmark for quantum algorithms, as it is very well understood theoretically. This is true even when expanding the model to include complex coupling constants. In this work, we implement quantum algorithms…

量子物理 · 物理学 2023-12-01 Erik Gustafson , Michael Hite , Jay Hubisz , Bharath Sambasivam , Judah Unmuth-Yockey
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