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Valence bond ground states in isotropic quantum antiferromagnets
Haldane predicted that the isotropic quantum Heisenberg spin chain is in a “massive” phase if the spin is integral. The first rigorous example of an isotropic model in such a phase is presented. The
Jarzynski Relations for Quantum Systems and Some Applications
We derive quantum analogues of Jarzynski's relations, and discuss two applications, namely, a derivation of the law of entropy increase for general compound systems, and a preliminary analysis of
Steady State Thermodynamics
The present paper reports our attempt to search for a new universal framework in nonequilibrium physics. We propose a thermodynamic formalism that is expected to apply to a large class of
Hidden symmetry breaking and the Haldane phase inS=1 quantum spin chains
We study the phase diagram ofS=1 antiferromagnetic chains with particular emphasis on the Haldane phase. The hidden symmetry breaking measured by the string order parameter of den Nijs and Rommelse
From Quantum Dynamics to the Canonical Distribution: General Picture and a Rigorous Example
Derivation of the canonical (or Boltzmann) distribution based only on quantum dynamics is discussed. Consider a closed system which consists of a mutually interacting subsystem and a heat bath, and
Universal Trade-Off Relation between Power and Efficiency for Heat Engines.
TLDR
A general lower bound for dissipation is proved in terms of the square of the heat current, thus establishing that nonvanishing current inevitably implies dissipation, which leads to a universal trade-off relation between efficiency and power.
REVIEW ARTICLE: The Hubbard model - an introduction and selected rigorous results
The Hubbard model is a `highly oversimplified model' for electrons in a solid which interact with each other through extremely short-ranged repulsive (Coulomb) interaction. The Hamiltonian of the
FROM NAGAOKA'S FERROMAGNETISM TO FLAT-BAND FERROMAGNETISM AND BEYOND : AN INTRODUCTION TO FERROMAGNETISM IN THE HUBBARD MODEL
This is a self-contained review about ferromagnetism in the Hubbard model, which should be accessible to readers with various backgrounds who are new to the field. We describe Nagaoka's
Ferromagnetism in the Hubbard model
Whether spin-independent Coulomb interaction can be the origin of a realistic ferromagnetism in an itinerant electron system has been an open problem for a long time. Here we study a class of Hubbard
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