Thermodynamics of One-Dimensional Solvable Models by Minoru Takahashi download in ePub, pdf, iPad
Furthermore we study asymptotic behavior of P n at nite temperature by Quantum Monte-Carlo simulation. We prove that for short strings the probability can be expressed in terms of Riemann zeta function with odd arguments. Out of equilibrium we discuss how to generate and manipulate entangled states by means of many-body Hamiltonians.
As an application, we establish a piecewise linear formula for the Kerov-Kirillov-Reshetikhin bijection in the combinatorial Bethe ansatz. The behavior of entanglement can be related, via certain witnesses, to thermodynamic quantities thus offering interesting possibilities for an experimental test. So far the observed results to date are seen to be in excellent agreement with results obtained using the analysis of this simplest exactly solved model.
This adds yet another link between statistical mechanics and number theory. We discuss the zero and finite temperature properties of entanglement in interacting spin, fermion and boson model systems. Those experimental observations reveal the unique beauty of integrability.
The recent interest in aspects common to quantum information and condensed matter has prompted a flory of activity at the border of these disciplines that were far distant untill few years ago. It also agrees with our previous analytical results. Here we review an important part of this field, the properties of the entanglement in many-body systems. The results agree quite well with the analytical ones. This is the most fundamental correlation function.
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