Entropy majorization, thermal adiabatic theorem, and quantum phase transitions

Details Entropy majorization, thermal adiabatic theorem, and quantum phase transitions Entropy majorization, thermal adiabatic theorem, and quantum phase transitions

2009-08-26

arxiv.org/abs/0908.3783v1

Physics

Condensed Matter

Statistical Mechanics

8 pages, 4 figures, submit to PRE

Scientific paper

Let a general quantum many-body system at a low temperature adiabatically cross through the vicinity of the system's quantum critical point. We show that the system's temperature is significantly suppressed due to both the entropy majorization theorem in quantum information science and the entropy conservation law in adiabatic processes. We take the one-dimensional transverse-field Ising model and spinless fermion system as concrete examples to show that the inverse temperature might become divergent around their critical points. Since the temperature is a measurable quantity in experiments, our work, therefore, provides a practicable proposal to detect quantum phase transitions.

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