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Using the electrostatic analogy, we derive an exact formula for the limiting Yang-Lee zero distribution in the random allocation model of general weights. This exhibits a real-space condensation phase transition, which is induced by a…

Statistical Mechanics · Physics 2025-01-28 Zdzislaw Burda , Desmond A. Johnston , Mario Kieburg

We study the 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…

High Energy Physics - Theory · Physics 2024-01-03 Vladimir V. Mangazeev , Bryte Hagan , Vladimir V. Bazhanov

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

Phase Transition is associated with a drastic change in some observable (ordered parameter) of the system when the controlled parameter is tuned smoothly. Lee-Yang theory of phase transition is discussed which is related to the accumulation…

Statistical Mechanics · Physics 2022-05-10 Shoaib Akhtar

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

We have characterized numerically, using the Janus computer, the Lee-Yang complex singularities related to the overlap in the 3D Ising spin glass with binary couplings in a wide range of temperatures (both in the critical and in the…

Disordered Systems and Neural Networks · Physics 2013-02-20 R. A. Baños , J. M. Gil-Narvion , J. Monforte-Garcia , J. J. Ruiz-Lorenzo , D. Yllanes

Near the second order phase transition point, QCD with two flavours of massless quarks can be approximated by an O($4$) model, where a symmetry breaking external field $H$ can be added to play the role of quark mass. The Lee-Yang theorem…

High Energy Physics - Lattice · Physics 2021-12-01 Felipe Attanasio , Marc Bauer , Lukas Kades , Jan M. Pawlowski

Nuclear spins provide an ideal platform for studying quantum correlations and open quantum system dynamics across diverse areas, including quantum information, quantum foundations, and many-body physics. This is enabled by their long…

Quantum Physics · Physics 2026-02-06 Arijit Chatterjee

Motivated by the search for the QCD critical point, we discuss how to obtain the singular behavior of a thermodynamic system near a critical point, namely the Lee-Yang singularities, from a limited amount of local data generated in a…

High Energy Physics - Theory · Physics 2022-05-18 Gokce Basar , Gerald Dunne , Zelong Yin

The Lee-Yang theorem for the zeroes of the partition function is not strictly applicable to quantum systems because the zeroes are defined in units of the fugacity $e^{h\Delta\tau}$, and the Euclidean-time lattice spacing $\Delta\tau$ can…

Statistical Mechanics · Physics 2009-11-13 P. R. Crompton

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

A finite size scaling is applied to the Yang-Lee zeros of the grand canonical partition function for the 2-D Hubbard model in the complex chemical potential plane. The logarithmic scaling of the imaginary part of the zeros with the system…

Condensed Matter · Physics 2009-10-28 E. Abraham , I. M. Barbour , P. H. Cullen , E. G. Klepfish , E. R. Pike , Sarben Sarkar

We show that, at the critical temperature, there is a class of Lee-Yang zeros of the partition function in a general scalar field theory, which location scales with the size of the system with a characteristic exponent expressed in terms of…

High Energy Physics - Theory · Physics 2017-06-07 N. G. Antoniou , F. K. Diakonos , X. N. Maintas , C. E. Tsagkarakis

Statistical physics provides the concepts and methods to explain the phase behavior of interacting many-body systems. Investigations of Lee-Yang zeros --- complex singularities of the free energy in systems of finite size --- have led to a…

Mesoscale and Nanoscale Physics · Physics 2017-05-08 Kay Brandner , Ville F. Maisi , Jukka P. Pekola , Juan P. Garrahan , Christian Flindt

A one-dimensional branching-coalescing model is considered on a chain of length L with reflecting boundaries. We study the phase transitions of this model in a canonical ensemble by using the Yang-Lee description of the non-equilibrium…

Statistical Mechanics · Physics 2009-11-10 Farhad H. Jafarpour

We study the Yang-Lee zeros of a random matrix partition function with the global symmetries of the QCD partition function. We consider both zeros in the complex chemical potential plane and in the complex mass plane. In both cases we find…

High Energy Physics - Lattice · Physics 2008-11-26 M. A. Halasz , A. D. Jackson , J. J. M. Verbaarschot

The Lee-Yang zeros are one-to-one mapping to zeros in the coherence of a probe spin coupled to a many-body system. Here, we study the spin squeezing under two different types of Lee-Yang dephasing channels in which the partition functions…

Quantum Physics · Physics 2024-04-10 Yuguo Su , Hongbin Liang , Xiaoguang Wang

We study Yang-Lee zeros in the thermodynamic limit of the 2D nearest-neighbor antiferromagnetic Ising model on square and triangular lattices. We employ the Numerical Linked Cluster Expansion (NLCE) equipped with Exact Enumeration (EE) of…

Statistical Mechanics · Physics 2025-09-11 Mahmoud Abdelshafy , Muhammad Sedik

We show that the ground-state quantum correlations of an Ising model can be detected by monitoring the time evolution of a single spin alone, and that the critical point of a quantum phase transition is detected through a maximum of a…

When the quantum critical transverse-field Ising chain is perturbed by a longitudinal field, a quantum integrable model emerges in the scaling limit with massive excitations described by the exceptional $E_{8}$ Lie algebra. Using the…

Strongly Correlated Electrons · Physics 2021-06-14 Xiao Wang , Haiyuan Zou , Kristóf Hódsági , Márton Kormos , Gábor Takács , Jianda Wu