Quantum Phase Transitions

Chon Fai Kam, Wei Min Zhang, Da Hsuan Feng

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

Currently, quantum phase transition is an active research topic that covers different fields of physics, from condensed mater physics, atomic physics to nuclear-particle physics, quantum cosmology, and quantum gravity. It mainly examines the dramatic change of the ground state structure by varying the coupling parameters in the system Hamiltonian. The Q- and P-representations of the partition function in the coherent states’ representation give the upper and lower bound of the partition function, as is given by the Lieb-Berezin inequality. The thermodynamics limit of the Lieb-Berezin inequality tells us that the coherent state expectation of the system Hamiltonian can capture the main ground state properties and therefore provides a general framework to study quantum phase transitions. The underlying mechanics of quantum phase transition associated with dynamical symmetry breaking is also discussed in this chapter.

Original languageEnglish
Title of host publicationLecture Notes in Physics
PublisherSpringer Science and Business Media Deutschland GmbH
Pages219-240
Number of pages22
DOIs
Publication statusPublished - 2023

Publication series

NameLecture Notes in Physics
Volume1011
ISSN (Print)0075-8450
ISSN (Electronic)1616-6361

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

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