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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.…

Statistical Mechanics · Physics 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…

Statistical Mechanics · Physics 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,…

Quantum Gases · Physics 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…

Quantum Physics · Physics 2023-08-29 Ruizhe Shen , Tianqi Chen , Mohammad Mujahid Aliyu , Fang Qin , Yin Zhong , Huanqian Loh , Ching Hua Lee

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…

Strongly Correlated Electrons · Physics 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…

High Energy Physics - Theory · Physics 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…

Quantum Physics · Physics 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…

Quantum Physics · Physics 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…

Statistical Mechanics · Physics 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…

High Energy Physics - Phenomenology · Physics 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…

High Energy Physics - Theory · Physics 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…

Statistical Mechanics · Physics 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…

Statistical Mechanics · Physics 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…

Strongly Correlated Electrons · Physics 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…

High Energy Physics - Theory · Physics 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…

Statistical Mechanics · Physics 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…

Statistical Mechanics · Physics 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…

Quantum Physics · Physics 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…

Statistical Mechanics · Physics 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…

Quantum Physics · Physics 2023-12-01 Erik Gustafson , Michael Hite , Jay Hubisz , Bharath Sambasivam , Judah Unmuth-Yockey
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