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The investigation of the Hamiltonian dynamical counterpart of phase transitions, combined with the Riemannian geometrization of Hamiltonian dynamics, has led to a preliminary formulation of a differential-topological theory of phase…

Statistical Mechanics · Physics 2022-08-19 Matteo Gori , Roberto Franzosi , Giulio Pettini , Marco Pettini

The phase diagram of the monoaxial chiral helimagnet as a function of temperature (T ) and magnetic field with components perpendicular (H x ) and parallel (H z ) to the chiral axis is theoretically studied via the variational mean field…

Strongly Correlated Electrons · Physics 2018-02-06 Victor Laliena , Javier Campo , Yusuke Kousaka

We study $q=10$ and $q=200$ state Potts models on dynamical triangulated lattices and demonstrate that these models exhibit continuous phase transitions, contrary to the first order transition present on regular lattices. For $q=10$ the…

High Energy Physics - Lattice · Physics 2016-08-31 Jan Ambjorn , Gudmar Thorleifsson , Mark Wexler

In closed quantum systems, a dynamical phase transition is identified by nonanalytic behaviors of the return probability as a function of time. In this work, we study the nonunitary dynamics following quenches across exceptional points in a…

Statistical Mechanics · Physics 2018-08-29 Longwen Zhou , Qing-hai Wang , Hailong Wang , Jiangbin Gong

We study theoretically the topological quantum phase transition in Cavity QED lattice. We predict the condition for non-topological phase to the topological phase transition conditions for three different model Hamiltonians in cavity QED…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Chandan GN , N. Banerjee , Sujit Sarkar

Topological phase transitions are typically characterized by abrupt changes in a quantized invariant. Here we report a contrasting paradigm in non-Hermitian parity-time symmetric systems, where the topological invariant remains conserved,…

Mesoscale and Nanoscale Physics · Physics 2025-03-31 Kang Yang , Zhi Li , Peng Xue , Emil J. Bergholtz , Piet W. Brouwer

In connection with recent discussion of topological order and topological phase transitions in quantum systems, we reexamine circumstances that lead to the appearance of a topological glass in certain classical lattice spin models. Local…

Statistical Mechanics · Physics 2015-05-13 Tai-Kai Ng , Yi Zhou , Lei-Han Tang

The thermal restoration of chiral symmetry in QCD is known to proceed by an analytic crossover, which is widely expected to turn into a phase transition with a critical endpoint as the baryon density is increased. In the absence of a…

High Energy Physics - Lattice · Physics 2021-11-08 Owe Philipsen

The dynamics at the critical-point of a general first-order quantum phase transition in a finite system is examined, from an algebraic perspective. Suitable Hamiltonians are constructed whose spectra exhibit coexistence of states…

Nuclear Theory · Physics 2014-11-18 A. Leviatan

The Kondo-lattice model, which couples a lattice of localized magnetic moments to conduction electrons, is often used to describe heavy-fermion systems. Because of the interplay between Kondo physics and magnetic order it displays very…

Strongly Correlated Electrons · Physics 2017-08-24 T. R. Kirkpatrick , D. Belitz

We show that bound states moving in a finite periodic volume have an energy correction which is topological in origin and universal in character. The topological volume corrections contain information about the number and mass of the…

Nuclear Theory · Physics 2012-11-01 Shahin Bour , Sebastian König , Dean Lee , H. -W. Hammer , Ulf-G. Meißner

In QCD with two flavors of massless quarks, the chiral phase transition is plausibly in the same universality class as the classical four component Heisenberg antiferromagnet. Therefore, renormalization group techniques developed in the…

High Energy Physics - Phenomenology · Physics 2009-10-22 K. Rajagopal , F. Wilczek

We investigate the chiral phase transition at finite temperature (T) in colour SU(Nc=3) Quantum Chromodynamics (QCD) with six species of fermions (Nf=6) in the fundamental representation by using lattice QCD with improved staggered…

High Energy Physics - Lattice · Physics 2012-03-30 Kohtaroh Miura , Maria Paola Lombardo , Elisabetta Pallante

The Hamiltonian dynamics of the classical $\phi^4$ model on a two-dimensional square lattice is investigated by means of numerical simulations. The macroscopic observables are computed as time averages. The results clearly reveal the…

Statistical Mechanics · Physics 2008-11-26 Lando Caiani , Lapo Casetti , Marco Pettini

We uncover a finite-time dynamical phase transition in the thermal relaxation of a mean-field magnetic model. The phase transition manifests itself as a cusp singularity in the probability distribution of the magnetisation that forms at a…

Statistical Mechanics · Physics 2022-03-23 Jan Meibohm , Massimiliano Esposito

This article examines the dynamic phase transitions and pattern formations attributed to binary systems modeled by the Cahn-Hilliard equation. In particular, we consider a two-dimensional lattice structure and determine how different…

Analysis of PDEs · Mathematics 2025-11-25 Jared Grossman , Evan Halloran , Shouhong Wang

A new point of view about the deep origin of thermodynamic phase transitions is sketched. The main idea is to link the appearance of phase transitions to some major topology change of suitable submanifolds of phase space instead of linking…

Statistical Mechanics · Physics 2017-08-23 Marco Pettini , Roberto Franzosi , Lionel Spinelli

We report on the discovery of a quantum tri-critical point (QTP) separating a line of first-order topological quantum phase transitions from a continuous transition regime in a strongly correlated one-dimensional lattice system.…

Strongly Correlated Electrons · Physics 2019-03-06 S. Barbarino , G. Sangiovanni , J. C. Budich

We investigate the transition between the phases $B$ and $C_b$ observed in four-dimensional Causal Dynamical Triangulations (CDT). We find that the critical properties of CDT with toroidal spatial topology are the same as earlier observed…

High Energy Physics - Theory · Physics 2020-06-24 Jan Ambjørn , Grzegorz Czelusta , Jakub Gizbert-Studnicki , Andrzej Görlich , Jerzy Jurkiewicz , Dániel Németh

A new procedure of trial variational wave functional is proposed for investigating the mass renormailzation and the local structure of the ground state of a one-dimensional quantum sine-Gordon model with linear spatial modulation, whose…

Strongly Correlated Electrons · Physics 2018-01-17 Zhiguo Wang , Yumei Zhang