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We use high-order cumulants to investigate the Lee-Yang zeros of generating functions of dynamical observables in open quantum systems. At long times the generating functions take on a large deviation form with singularities of the…

Mesoscale and Nanoscale Physics · Physics 2015-01-08 James M. Hickey , Christian Flindt , Juan P. Garrahan

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

To understand the distribution of the Yang-Lee zeros in quantum integrable field theories we analyse the simplest of these systems given by the two-dimensional Yang-Lee model. The grand-canonical partition function of this quantum field…

Statistical Mechanics · Physics 2018-04-12 Giuseppe Mussardo , Riccarda Bonsignori , Andrea Trombettoni

We revisit the somewhat less studied problem of Yang-Lee zeros of the Ising antiferromagnet. For this purpose, we study two models, the nearest-neighbor model on a square lattice, and the more tractable mean-field model corresponding to…

Statistical Mechanics · Physics 2025-06-23 Muhammad Sedik , Junaid Majeed Bhat , Abhishek Dhar , B Sriram Shastry

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

We study the Lee-Yang zeros in the canonical approach to search phase transition points at finite temperature and density in the Nambu-Jona-Lasinio (NJL) model as an effective model of QCD. The canonical approach is a promising method to…

High Energy Physics - Lattice · Physics 2019-07-10 Masayuki Wakayama , Atsushi Hosaka

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

We show that all of the relevant features of a phase transition can be determined using a non order parameter field which is a physical state of the theory. This fact allows us to understand the deconfining transition of the pure Yang-Mills…

High Energy Physics - Phenomenology · Physics 2009-11-10 Agnes Mocsy , Francesco Sannino , Kimmo Tuominen

We present a general field-theoretic strategy to analyze three connected families of continuous phase transitions which occur in nonequilibrium steady-states. We focus on transitions taking place between an active state and one absorbing…

Statistical Mechanics · Physics 2007-05-23 F. van Wijland

We obtain in a closed form the 1/N^2 contribution to the free energy of the two Hermitian N\times N random matrix model with non symmetric quartic potential. From this result, we calculate numerically the Yang-Lee zeros of the 2D Ising…

High Energy Physics - Theory · Physics 2009-10-31 Luiz C. de Albuquerque , Nelson A. Alves , D. Dalmazi

The microcanonical transfer matrix is used to study the distribution of Yang-Lee zeros of the $Q$-state Potts model in the complex magnetic-field ($x=e^{\beta h}$) plane for the first time. Finite size scaling suggests that at (and below)…

Statistical Mechanics · Physics 2009-10-31 Seung-Yeon Kim , Richard J. Creswick

Systems with absorbing (trapped) states may exhibit a nonequilibrium phase transition from a noise-free inactive phase into an ever-lasting active phase. We briefly review the absorbing critical phenomena and universality classes, and…

Statistical Mechanics · Physics 2009-11-13 Su-Chan Park , Hyunggyu Park

We find novel phase transitions and critical phenomena that occur only outside the linear-response regime of current-driven nonequilibrium states. We consider the strongly-interacting (3+1)-dimensional N=4 large-Nc SU(Nc) supersymmetric…

High Energy Physics - Theory · Physics 2015-06-04 Shin Nakamura

Phase transitions to absorbing states are among the simplest examples of critical phenomena out of equilibrium. The characteristic feature of these models is the presence of a fluctuationless configuration which the dynamics cannot leave,…

Some consequences of the analyticity of the free energy (pressure) of QCD at finite chemical potential are deduced. These include a method for numerical exploration of the full phase diagram by a novel use of simulations at imaginary…

High Energy Physics - Lattice · Physics 2009-11-10 Sourendu Gupta

Using both the exact enumeration method (microcanonical transfer matrix) for a small system (L = 9) and the Wang-Landau Monte Carlo algorithm for large systems to L = 30, we obtain the exact and approximate densities of states g(M,E), as a…

Statistical Mechanics · Physics 2015-05-14 Chi-Ok Hwang , Seung-Yeon Kim

The present work is an endeavour to determine analytically features of the stationary measure of a non-integrable zero-range process, and to investigate the possible existence of phase transitions for such a nonequilibrium model. The rates…

Statistical Mechanics · Physics 2009-11-20 C Godreche

The distributions of the Yang-Lee zeros of the ferromagnetic and antiferromagnetic Q-state Potts models in one dimension are studied for arbitrary Q and temperature. The Yang-Lee zeros of the Potts antiferromagnet have been fully…

Statistical Mechanics · Physics 2015-06-24 Seung-Yeon Kim

We will report on current progress in the understanding of the QCD phase diagram, including universal scaling in the chiral limit and the vicinity of the QCD critical point. In the latter case we will discuss the universal scaling of…

High Energy Physics - Lattice · Physics 2025-02-03 Christian Schmidt

While the equilibrium properties, states, and phase transitions of interacting systems are well described by statistical mechanics, the lack of suitable state parameters has hindered the understanding of non-equilibrium phenomena in diverse…

Soft Condensed Matter · Physics 2019-02-20 Stefano Martiniani , Paul M. Chaikin , Dov Levine
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