Mathematical Theory for Quantum Phase Transitions
Analysis of PDEs
2016-12-09 v2
Abstract
Quantum Phase Transition (QPT) is a phase transition between different quantum states by adjusting some control parameters. Based on the Principle of Hamilton Dynamics (PHD) and the Principle of Lagrangian Dynamics (PLD), a general QPT model is established. Also, a definition of QPT is given. The important point is that the QPT model is applied to Bose-Einstein Condensate (BEC) and the corresponding bifurcation solutions (i.e., the quantum states) are obtained by using steady state bifurcation theory.
Cite
@article{arxiv.1610.06988,
title = {Mathematical Theory for Quantum Phase Transitions},
author = {Tian Ma and Da-peng Li and Ruikuan Liu and Jiayan Yang},
journal= {arXiv preprint arXiv:1610.06988},
year = {2016}
}
Comments
18 pages,7 figures