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Atom counting theory can be used to study the role of thermal noise in quantum phase transitions and to monitor the dynamics of a quantum system. We illustrate this for a strongly correlated fermionic system, which is equivalent to an…

I review a variety of model systems and their quantum critical points, motivated by recent experimental and theoretical developments. These are used to present a general discussion of the non-zero temperature crossovers in the vicinity of a…

Strongly Correlated Electrons · Physics 2015-05-14 Subir Sachdev

We consider quantum Heisenberg ferro- and antiferromagnets on the square lattice with exchange anisotropy of easy-plane or easy-axis type. The thermodynamics and the critical behaviour of the models are studied by the pure-quantum…

Statistical Mechanics · Physics 2015-06-24 A. Cuccoli , T. Roscilde , V. Tognetti , R. Vaia , P. Verrucchi

In this article we consider two spin$-1/2$ chains described, respectively, by the thermodynamic limit of the $XY$ model with the usual two site interaction, and an extension of this model (without taking the thermodynamics limit), called…

Quantum Physics · Physics 2015-05-21 Thiago M. Carrijo , Ardiley T. Avelar , Lucas C. Céleri

We investigate the finite-temperature phase diagram of the classical Kitaev-Heisenberg model on the hexagonal lattice. Due to the anisotropy introduced by the Kitaev interaction, the model is magnetically ordered at low temperatures for all…

Strongly Correlated Electrons · Physics 2013-07-19 Craig Price , Natalia B. Perkins

We study the finite temperature crossovers in the vicinity of a zero temperature quantum phase transition. The universal crossover functions are observables of a continuum quantum field theory. Particular attention is focussed on the high…

Condensed Matter · Physics 2008-02-03 Subir Sachdev

Quantum phase transitions occur when quantum fluctuation destroys order at zero temperature. With an increase in temperature, normally the thermal fluctuation wipes out any signs of this transition. Here we identify a physical quantity that…

Statistical Mechanics · Physics 2022-06-17 Protyush Nandi , Sirshendu Bhattacharyya , Subinay Dasgupta

Accurately evaluating finite-temperature properties of quantum many-body systems remains a central challenge. Many existing quantum approaches typically require thermal-state preparation at each target temperature, making low-temperature…

Quantum Physics · Physics 2026-04-15 Hiroto Yamamoto , Katsuhiro Morita

This work is dedicated to the study of a supersymmetric quantum spherical spin system with short-range interactions. We examine the critical properties both a zero and finite temperature. The model undergoes a quantum phase transition at…

Statistical Mechanics · Physics 2020-02-24 L. V. T. Tavares , L. G. dos Santos , G. T. Landi , Pedro R. S. Gomes , P. F. Bienzobaz

Thermodynamic properties of chiral spin liquids are investigated for a variant of the Kitaev model defined on a decorated honeycomb lattice. Using the quantum Monte Carlo simulation, we find that the model exhibits a finite-temperature…

Strongly Correlated Electrons · Physics 2015-08-26 Joji Nasu , Yukitoshi Motome

We address the one-dimensional quantum Ising model as an example of system exhibiting criticality and study in some details the discrimination problem for pairs of states corresponding to different values of the coupling constant. We…

Quantum Physics · Physics 2015-05-13 Carmen Invernizzi , Matteo G A Paris

The critical breakdown of a one-dimensional quantum magnet with long-range interactions is studied by investigating the high-field polarized phase of the anisotropic XY model in a transverse field for the ferro- and antiferromagnetic case.…

Strongly Correlated Electrons · Physics 2020-11-18 P. Adelhardt , J. A. Koziol , A. Schellenberger , K. P. Schmidt

Critical phenomena at finite temperature underpin a broad range of physical systems, yet their study remains challenging due to computational bottlenecks near phase transitions. Quantum annealers have attracted significant interest as a…

Statistical Mechanics · Physics 2025-07-11 Gianluca Teza , Francesco Campaioli , Marco Avesani , Oren Raz

We consider the interaction-round-a-face version of the six-vertex model for arbitrary anisotropy parameter, which allow us to derive an integrable one-dimensional quantum Hamiltonian with three-spin interactions. We apply the quantum…

Mathematical Physics · Physics 2023-09-07 T. S. Tavares , G. A. P. Ribeiro

The anisotropic quantum spin-1/2 XY model on a linear chain was solved by Lieb, Schultz, and Mattis in 1961 and shown to display a continuous quantum phase transition at the O(2) symmetric point separating two gapped phases with competing…

Strongly Correlated Electrons · Physics 2025-03-05 Christopher Mudry , Ömer M. Aksoy , Claudio Chamon , Akira Furusaki

We review the non-zero temperature relaxational dynamics of quantum systems near a zero temperature, second-order phase transition. We begin with the quantum Ising chain, for which universal and exact results for the relaxation rates can be…

Strongly Correlated Electrons · Physics 2017-08-23 Subir Sachdev

We compute the quantum correlation (quantum discord (QD)) and the entanglement (EoF) between nearest neighbor qubits (spin-1/2) in an infinite chain described by the Heisenberg model (XXZ Hamiltonian) at finite temperatures. The chain is in…

Quantum Physics · Physics 2015-05-19 T. Werlang , C. Trippe , G. A. P. Ribeiro , Gustavo Rigolin

The new integrable quantum spin model is proposed. The model has a biaxial magnetic anisotropy of alternating coupling between spins together with multiple spin interactions. Our model gives the possibility to exactly find thermodynamic…

Strongly Correlated Electrons · Physics 2015-05-19 A. A. Zvyagin

We analyze the approach to chiral symmetry breaking in QCD at finite temperature, using the functional renormalization group. We compute the running gauge coupling in QCD for all temperatures and scales within a simple truncated…

High Energy Physics - Phenomenology · Physics 2009-11-11 Jens Braun , Holger Gies

We provide a method for constructing finite temperature states of one-dimensional spin chains displaying quantum criticality. These models are constructed using correlators of products of quantum fields and have an analytical purification.…

Strongly Correlated Electrons · Physics 2014-07-24 Ivan Glasser , J. Ignacio Cirac , Germán Sierra , Anne E. B. Nielsen