Journal ArticleDOI
Non-ergodicity of phase functions in certain systems
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In this paper, a lower bound for the time average of the autocorrelation function of a phase function X(q1,…,Pn), defined for canonical ensembles of classical systems, is obtained in terms of averages involving constants of the motion of the systems considered.About:
This article is published in Physica D: Nonlinear Phenomena.The article was published on 1969-09-01. It has received 256 citations till now. The article focuses on the topics: Ergodicity & Ergodic theory.read more
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Colloquium: Nonequilibrium dynamics of closed interacting quantum systems
TL;DR: In this paper, the authors give an overview of recent theoretical and experimental progress in the area of nonequilibrium dynamics of isolated quantum systems, particularly focusing on quantum quenches: the temporal evolution following a sudden or slow change of the coupling constants of the system Hamiltonian.
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Thermal conduction in classical low-dimensional lattices
TL;DR: In this paper, the authors consider stationary energy transport in crystals with reference to simple mathematical models consisting of coupled oscillators on a lattice, and the role of lattice dimensionality on the breakdown of the Fourier's law is discussed.
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Fundamental aspects of steady-state conversion of heat to work at the nanoscale
TL;DR: In this paper, the authors introduce some of the theories used to describe these steady-state flows in a variety of mesoscopic or nanoscale systems, including linear response theory with or without magnetic fields, Landauer scattering theory in the linear response regime and far from equilibrium.
Book
Holographic Quantum Matter
TL;DR: In this paper, a review of theories of states of quantum matter without quasiparticle excitations is provided through a holographic duality with gravitational theories in an emergent spatial dimension.
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Dynamics of a quantum phase transition and relaxation to a steady state
TL;DR: In this paper, the authors review recent theoretical work on two closely related issues: excitation of an isolated quantum condensed matter system driven adiabatically across a continuous quantum phase transition or a gapless phase and apparent relaxation of an excited system after a sudden quench of a parameter in its Hamiltonian.
References
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Journal ArticleDOI
Two soluble models of an antiferromagnetic chain
TL;DR: In this article, two genuinely quantum models for an antiferromagnetic linear chain with nearest neighbor interactions are constructed and solved exactly, in the sense that the ground state, all the elementary excitations and the free energy are found.
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Some exact calculations on a chain of spins {1}/{2} II
TL;DR: In this article, the authors studied the X-Y model of a linear chain of spins in the presence of a magnetic field h along the z axis and derived an expression for the time-dependent correlation function ϱ z R (β, t) of the z -components of spins separated by an arbitrary number R of lattice sites.
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Absence of Ordering in Certain Classical Systems
TL;DR: In this article, a classical inequality giving lower bounds for fluctuations about ordered states is derived, analogous to a quantum result due to Bogoliubov, by a purely classical argument which makes explicit the nature of the surface boundary conditions required, a point which is rather obscure in the quantum derivations.
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On the theory of spin-spin relaxation II
P. Mazur,R.H. Terwiel +1 more
TL;DR: In this article, an exact integral equation governing the evolution in time of the relaxation function of Kubo and Tomita is derived, characterizing the approach to equilibrium of an isolated spin system, for systems with a nonsecular interaction small compared to the exchange interaction.