TY - CHAP
T1 - Quantum Phase Transitions
AU - Kam, Chon Fai
AU - Zhang, Wei Min
AU - Feng, Da Hsuan
N1 - Publisher Copyright:
© 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.
PY - 2023
Y1 - 2023
N2 - 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.
AB - 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.
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U2 - 10.1007/978-3-031-20766-2_11
DO - 10.1007/978-3-031-20766-2_11
M3 - Chapter
AN - SCOPUS:85159945503
T3 - Lecture Notes in Physics
SP - 219
EP - 240
BT - Lecture Notes in Physics
PB - Springer Science and Business Media Deutschland GmbH
ER -