Math 2.0

Statistical mechanics, structure of matter Phase transitions and critical phenomena Concept

Quantum phase transition

Summary

A quantum phase transition is a sudden change of the ground state of a quantum many-body system as a parameter of its Hamiltonian is varied. It happens at zero temperature. It is driven by quantum fluctuations instead of thermal ones. At the transition the ground-state energy density is not analytic, and at a continuous transition the energy gap above the ground state closes. The transverse-field Ising model is the standard example.

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Further reading

  1. Web https://en.wikipedia.org/wiki/Quantum_phase_transition
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Changed3 November 2026

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