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Homogeneous nucleation of a new phase near an Ising-like critical point of another phase transition is studied. A scaling analysis shows that the free energy barrier to nucleation contains a singular term with the same scaling as the order…

Statistical Mechanics · Physics 2009-11-07 Richard P. Sear

Determining the phase diagram of interacting quantum many-body systems is an important task for a wide range of problems such as the understanding and design of quantum materials. For classical equilibrium systems, the Lee-Yang formalism…

Statistical Mechanics · Physics 2022-08-03 Pascal M. Vecsei , Jose L. Lado , Christian Flindt

We present a numerical calculation of the Lee-Yang and Fisher zeros of the 2D Ising model using multi-point Pad\'{e} approximants. We perform simulations for the 2D Ising model with ferromagnetic couplings both in the absence and in the…

High Energy Physics - Lattice · Physics 2024-04-16 Simran Singh , Massimo Cipressi , Francesco Di Renzo

Showing that the location of the zeros of the partition function can be used to study phase transitions, Yang and Lee initiated an ambitious and very fruitful approach. We give an overview of the results obtained using this approach. After…

Statistical Mechanics · Physics 2009-11-11 Ioana Bena , Michel Droz , Adam Lipowski

Temperature estimation of interacting quantum many-body systems is both a challenging task and topic of interest in quantum metrology, given that critical behavior at phase transitions can boost the metrological sensitivity. Here we study…

Quantum Physics · Physics 2023-12-05 Mei Yu , H. Chau Nguyen , Stefan Nimmrichter

The distribution of Yang-Lee zeros in the ferromagnetic Ising model in both two and three dimensions is studied on the complex field plane directly in the thermodynamic limit via the tensor network methods. The partition function is…

Strongly Correlated Electrons · Physics 2015-10-28 Artur Garcia-Saez , Tzu-Chieh Wei

We discuss on general grounds some local indicators of entanglement, that have been proposed recently for the study and classification of quantum phase transitions. In particular, we focus on the capability of entanglement in detecting…

Quantum Physics · Physics 2007-05-23 L. Campos Venuti , C. Degli Esposti Boschi , G. Morandi , M. Roncaglia , A. Scaramucci

Entanglement is believed to be crucial in macroscopic physical systems for understanding the collective quantum phenomena such as quantum phase transitions. We start from and solve exactly a novel Yang-Baxter spin-1/2 chain model with…

Quantum Physics · Physics 2008-11-17 Ming-Guang Hu , Kang Xue , Mo-Lin Ge

Lee-Yang theory is central to the analysis of thermal phase transitions. However, the underlying mechanism of the theory and the nature of Lee-Yang zeros in quantum many-body systems remains elusive. Here, we develop a unified framework for…

Quantum Physics · Physics 2026-01-21 Tian-Yi Gu , Gaoyong Sun

Using free-fermionic techniques we study the entanglement entropy of a block of contiguous spins in a large finite quantum Ising chain in a transverse field, with couplings of different types: homogeneous, periodically modulated and random.…

Statistical Mechanics · Physics 2009-11-13 Ferenc Igloi , Yu-Cheng Lin

One of the simplest examples of a PT-symmetric quantum system is the scaling Yang-Lee model, a quantum field theory with cubic interaction and purely imaginary coupling. We give a historical review of some facts about this model in d <= 2…

High Energy Physics - Theory · Physics 2010-11-02 Patrick Dorey , Clare Dunning , Roberto Tateo

We address the quantum dynamics of a system composed of a qubit globally coupled to a many-body system characterized by short-range interactions. We employ a dynamic finite-size scaling framework to investigate the out-of-equilibrium…

Statistical Mechanics · Physics 2019-05-20 Davide Rossini , Ettore Vicari

We have extended, in most cases through 24th order, the series expansions of the dimer density in powers of the activity in the case of bipartite ((hyper)-simple-cubic and (hyper)-body-centered-cubic) lattices of dimensionalities 2<= d <=…

Statistical Mechanics · Physics 2012-07-09 Paolo Butera , Mario Pernici

We use an external spin as a dynamical probe of many body localization. The probe spin is coupled to an interacting and disordered environment described by a Heisenberg spin chain in a random field. The spin-chain environment can be tuned…

Disordered Systems and Neural Networks · Physics 2016-11-30 Evert P. L. van Nieuwenburg , Sebastian D. Huber , R. Chitra

Entanglement plays a key role in quantum physics, but how much information it can extract from many-body systems is still an open question, particularly regarding quantum criticalities and emergent symmetries. In this work, we…

Strongly Correlated Electrons · Physics 2025-11-13 Zhe Wang , Zehui Deng , Zenan Liu , Zhiyan Wang , Yi-Ming Ding , Long Zhang , Wenan Guo , Zheng Yan

To analyze phase transitions in a nonequilibrium system we study its grand canonical partition function as a function of complex fugacity. Real and positive roots of the partition function mark phase transitions. This behavior, first found…

Statistical Mechanics · Physics 2009-10-31 Peter F. Arndt

We investigate the Ising model in one, two, and three dimensions using a cumulant method that allows us to determine the Lee-Yang zeros from the magnetization fluctuations in small lattices. By doing so with increasing system size, we are…

Statistical Mechanics · Physics 2020-11-13 Aydin Deger , Fredrik Brange , Christian Flindt

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

We study the Quantum Chromodynamics (QCD) phase transitions in the complex chemical potential plane in the framework of Dyson-Schwinger equation approach, in the presence of a constant gluonic background field that represents confining…

High Energy Physics - Phenomenology · Physics 2025-04-18 Zi-yan Wan , Yi Lu , Fei Gao , Yu-xin Liu

We consider the influence of a power-law deviation from the critical coupling such that the system is critical at its surface. We develop a scaling theory showing that such a perturbation introduces a new length scale which governs the…

Statistical Mechanics · Physics 2009-10-06 Mario Collura , Dragi Karevski , Loïc Turban