Quantum Phase Transitions - Maple Application Center
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Quantum Phase Transitions

: Jeriann Beiter
Engineering software solutions from Maplesoft
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While classical phase transitions are common phenomena widely understood on a basic level, the subject of quantum phase transitions is much less frequently broached at a pedagogical level. Here, our discussion will start with a basic introduction of the fundamental differences (and similarities) between classical and quantum phase transitions. We will introduce the Ising model as a quantitative model of phase transitions, and major results of the 1D Ising model will be briefly reviewed. Moving into applications of quantum phase transitions using the Ising model, the magnetization phase diagram of LiHoF4 will be presented, along with some of the electronic structure properties of the compound to demonstrate why it is a suitable example. Electronic structure properties, such as dipole moment, will be calculated in the worksheet using Maple. Overall, students should come away with an appreciation of using the Ising model to understand quantum phase transitions, and how this model can be applied to real systems. This worksheet uses the Maple Quantum Chemistry Toolbox.

Application Details

Publish Date: March 16, 2020
Created In: Maple 2019
Language: English

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