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We examine the low frequency spin susceptibility of the paramagnetic phase of the quantum Ising chain in transverse field at temperatures well below the energy gap. We find that the imaginary part is dominated by rare quantum processes in…

Strongly Correlated Electrons · Physics 2019-02-06 Julia Steinberg , N. P. Armitage , Fabian H. L. Essler , Subir Sachdev

We investigate the influence of sub-Ohmic dissipation on randomly diluted quantum Ising and rotor models. The dissipation causes the quantum dynamics of sufficiently large percolation clusters to freeze completely. As a result, the…

Strongly Correlated Electrons · Physics 2012-08-23 Manal Al-Ali , José A. Hoyos , Thomas Vojta

We investigate sudden quenches across the critical point in the transverse field Ising chain with a perturbing non-integrable next-nearest-neighbour interaction. Expressions for the return (Loschmidt) amplitude and associated rate function…

Statistical Mechanics · Physics 2015-06-22 Johannes Kriel , Christoph Karrasch , Stefan Kehrein

We consider thermal transport between two reservoirs coupled by a quantum Ising chain as a model for non-equilibrium physics induced in quantum-critical many-body systems. By deriving rate equations based on exact expressions for the…

Statistical Mechanics · Physics 2012-12-13 Malte Vogl , Gernot Schaller , Tobias Brandes

The spherical model for spins describes ferromagnetic phase transitions well, but it fails at low temperatures. A quantum version of the spherical model is proposed. It does not induce qualitative changes near the phase transition. However,…

Condensed Matter · Physics 2009-10-22 Th. M. Nieuwenhuizen

Recently has been observed for some one-dimensional models that exhibit unexpected pseudo-transitions and quasi-phases. This pseudo-transition resembles a first- and second-order phase transition simultaneously. One of those models is the…

Strongly Correlated Electrons · Physics 2018-06-18 I. M. Carvalho , J. Torrico , S. M. de Souza , M. Rojas , O. Rojas

Zero-temperature or quantum phase transitions in itinerant electronic systems both with and without quenched disordered are discussed. Phase transitions considered include, the ferromagnetic transition, the antiferromagnetic transition, the…

Statistical Mechanics · Physics 2008-02-03 T. R. Kirkpatrick , D. Belitz

We present a general introduction to the non-zero temperature dynamic and transport properties of low-dimensional systems near a quantum phase transition. Basic results are reviewed in the context of experiments on the spin-ladder…

Strongly Correlated Electrons · Physics 2007-05-23 Subir Sachdev , Matthias Vojta

We consider the stochastic dynamics of Ising ferromagnets (either pure or random) near zero temperature. The master equation satisfying detailed balance can be mapped onto a quantum Hamiltonian which has an exact zero-energy ground state…

Statistical Mechanics · Physics 2013-02-27 Cecile Monthus , Thomas Garel

Dynamical phase transition in quantum many body systems is usually studied by taking it in the ground state and then quenching a parameter to a new value. We investigate here the dynamics when one performs the time evolution of a generic…

Statistical Mechanics · Physics 2020-08-04 Sirshendu Bhattacharyya , Subinay Dasgupta

We consider a linear quench from the paramagnetic to ferromagnetic phase in the quantum Ising chain interacting with a static spin environment. Both decoherence from the environment and non-adiabaticity of the evolution near a critical…

Quantum Physics · Physics 2016-09-08 Lukasz Cincio , Jacek Dziarmaga , Jakub Meisner , Marek M. Rams

At low temperatures, the classical two-dimensional random bond Ising model undergoes a frustration-driven ferromagnet-to-paramagnet transition controlled by a zero-temperature fixed point separating ferromagnet and spin glass phases. We…

Statistical Mechanics · Physics 2026-03-04 Akshat Pandey , Aditya Mahadevan , A. Alan Middleton , Daniel S. Fisher

A dynamical quantum phase transition can occur during time evolution of sudden quenched quantum systems across a phase transition. It corresponds to the nonanalytic behavior at a critical time of the rate function of the quantum state…

Quantum Physics · Physics 2019-05-14 Xue-Yi Guo , Chao Yang , Yu Zeng , Yi Peng , He-Kang Li , Hui Deng , Yi-Rong Jin , Shu Chen , Dongning Zheng , Heng Fan

We study the zero temperature static properties of dissipative ensembles of quantum Ising spins arranged on periodic one dimensional finite clusters and on an infinite chain. The spins interact ferro-magnetically with nearest-neighbour pure…

Disordered Systems and Neural Networks · Physics 2009-11-10 Leticia F. Cugliandolo , Gustavo S. Lozano , Homero Lozza

We consider an exactly solvable version of the quantum spin-1/2 orthogonal-dimer chain with the Heisenberg intra-dimer and Ising inter-dimer couplings. The investigated quantum spin system exhibits at zero temperature fractional plateaux at…

Statistical Mechanics · Physics 2014-10-21 T. Verkholyak , J. Strecka

We propose a self-validating scheme to calculate the unbiased responses of quantum many-body systems to external fields of arbibraty strength at any temperature. By switching on a specified field to a thermal pure quantum state of an…

Statistical Mechanics · Physics 2018-11-30 Hiroyuki Endo , Chisa Hotta , Akira Shimizu

We study the relaxation dynamics of a quantum Ising chain initially prepared in a product of canonical states corresponding each to an equilibrium state of part of the chain at a given temperature. We focus our attention on the transverse…

Statistical Mechanics · Physics 2009-11-11 Thierry Platini , Dragi Karevski

Interacting quantum systems illustrate complex phenomena including phase transitions to novel ordered phases. The universal nature of critical phenomena reduces their description to determining only the transition temperature and the…

Quantum phase transitions take place between distinct phases of matter at zero temperature. Near the transition point, exotic quantum symmetries can emerge that govern the excitation spectrum of the system. A symmetry described by the E8…

Strongly Correlated Electrons · Physics 2015-05-27 R. Coldea , D. A. Tennant , E. M. Wheeler , E. Wawrzynska , D. Prabhakaran , M. Telling , K. Habicht , P. Smeibidl , K. Kiefer

Symmetry-breaking phases in many-fermion systems are characterized by anomalous functions that represent transient processes during which some properties of free particles, such as spin or charge, are not conserved. Connecting the…

Strongly Correlated Electrons · Physics 2025-10-09 Václav Janiš , Mukesh Khanore , Antonín Klíč