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We prove that at any inverse temperature $\beta$ and on any transitive amenable graph, the automorphism-invariant Gibbs states of the ferromagnetic Ising model are convex combinations of the plus and minus states. This is obtained for a…

Probability · Mathematics 2017-10-23 Aran Raoufi

Given a thermal field theory for some temperature $\beta^{-1}$, we construct the theory at an arbitrary temperature $ 1 / \beta'$. Our work is based on a construction invented by Buchholz and Junglas, which we adapt to thermal field…

High Energy Physics - Theory · Physics 2007-05-23 Christian Jaekel

We reveal that three-dimensional multi-orbital topological superconductivity can be identified by a bulk measurement, i.e., the temperature dependence of nuclear magnetic relaxation (NMR) rates. Below a critical temperature $T_{\rm c}$, the…

Superconductivity · Physics 2015-11-12 Yuki Nagai , Yukihiro Ota , Masahiko Machida

We extend the formalism of pure state thermodynamics to matrix product states. In pure state thermodynamics finite temperature properties of quantum systems are derived without the need of statistical mechanics ensembles, but instead using…

Quantum Physics · Physics 2013-10-31 Silvano Garnerone

We study the metastability of the ferromagnetic Ising model on a random $r$-regular graph in the zero temperature limit. We prove that in the presence of a small positive external field the time that it takes to go from the all minus state…

Probability · Mathematics 2015-11-23 Sander Dommers

We consider C*-algebras of finite higher-rank graphs along with their rotational action. We show how the entropy theory of product systems with finite frames applies to identify the phase transitions of the dynamics. We compute the positive…

Operator Algebras · Mathematics 2020-01-24 Evgenios T. A. Kakariadis

We present emergent dynamics of continuous and discrete thermomechanical Cucker-Smale(TCS) models equipped with temperature as an extra observable on general digraph. In previous literature, the emergent behaviors of the TCS models were…

Classical Analysis and ODEs · Mathematics 2018-12-10 Jiu-Gang Dong , Seung-Yeal Ha , Doheon Kim

Inspired by recent remarkable sets of experiments on UTe$_2$: discoveries of the fourth horizontal internal transition line running toward a tetra-critical point (TCP) at $H$=15T, the off-axis high field phases, and abnormally large Knight…

Superconductivity · Physics 2024-11-12 Kazushige Machida

We develop a general framework for analyzing KMS-states on C*-algebras arising from actions of Hecke pairs. We then specialize to the system recently introduced by Connes and Marcolli and classify its KMS-states for inverse temperatures…

Operator Algebras · Mathematics 2007-10-18 Marcelo Laca , Nadia Larsen , Sergey Neshveyev

We calculate the critical temperature of the Ising model on a set of graphs representing a concatenated three-bit error-correction code. The graphs are derived from the stabilizer formalism used in quantum error correction. The stabilizer…

Quantum Physics · Physics 2015-05-13 C. Ricardo Viteri , Yu Tomita , Kenneth R. Brown

We study thermal states of strongly interacting quantum spin chains and prove that those can be represented in terms of convex combinations of matrix product states. Apart from revealing new features of the entanglement structure of Gibbs…

The Feynman-Metropolis-Teller treatment of compressed atoms has been recently generalized to relativistic regimes and applied to the description of static and rotating white dwarfs in general relativity. We present here the extension of…

Solar and Stellar Astrophysics · Physics 2014-03-28 S. M. de Carvalho , M. Rotondo , Jorge A. Rueda , R. Ruffini

We resolve the long standing question of temperature dependence of uniformly moving bodies by means of a quantum statistical treatment centred on the zeroth law of thermodynamics. The key to our treatment is the result, established by…

Mathematical Physics · Physics 2015-05-13 Geoffrey L. Sewell

Simulating strongly coupled gauge theories at finite temperature and density is a longstanding challenge in nuclear and high-energy physics that also has fundamental implications for condensed matter physics. In this work, we use minimally…

We analyze the free energy and construct the Gibbs-KMS states for a class of quantum lattice systems, at low temperatures and when the interactions are almost diagonal in a suitable basis. We study systems with continuous symmetry, but our…

Mathematical Physics · Physics 2009-10-31 J. Froehlich , L. Rey-Bellet , D. Ueltschi

We examine Nica-Pimsner algebras associated with semigroup actions of $\mathbb{Z}_+^n$ on a C*-algebra $A$ by $*$-endomorphisms. We give necessary and sufficient conditions on the dynamics for exactness and nuclearity of the Nica-Pimsner…

Operator Algebras · Mathematics 2018-08-17 Evgenios T. A. Kakariadis

Network structures are reconstructed from dynamical data by respectively naive mean field (nMF) and Thouless-Anderson-Palmer (TAP) approximations. For TAP approximation, we use two methods to reconstruct the network: a) iteration method; b)…

Computation · Statistics 2015-05-20 Hong-Li Zeng , Erik Aurell , Mikko Alava , Hamed Mahmoudi

We show through a nonlinear Fokker-Planck formalism, and confirm by molecular dynamics simulations, that the overdamped motion of interacting particles at T=0, where T is the temperature of a thermal bath connected to the system, can be…

Statistical Mechanics · Physics 2011-02-08 J. S. Andrade , G. F. T. da Silva , A. A. Moreira , F. D. Nobre , E. M. F. Curado

In the framework of deformation quantization we define formal KMS states on the deformed algebra of power series of functions with compact support in phase space as C[[\lambda]]-linear functionals obeying a formal variant of the usual KMS…

Quantum Algebra · Mathematics 2007-05-23 Martin Bordemann , Hartmann Roemer , Stefan Waldmann

Given a topologically free action of a countable group $G$ on a compact metric space $X$, there is a canonical correspondence between continuous 1-cocycles for this group action and diagonal 1-parameter groups of automorphisms of the…

Operator Algebras · Mathematics 2022-10-04 Johannes Christensen , Stefaan Vaes