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arXiv · 1610.06988

Mathematical Theory for Quantum Phase Transitions

Tian Ma·Da-peng Li·Ruikuan Liu·Jiayan Yang
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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.

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Tian Ma, Da-peng Li, Ruikuan Liu, Jiayan Yang. 2016-12-08. Mathematical Theory for Quantum Phase Transitions. https://arxiv.org/abs/1610.06988

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