Excited-state quantum phase transitions

0549487 - ÚPT 2022 RIV GB eng J - Journal Article
Cejnar, P. - Stránský, P. - Macek, Michal - Kloc, M.
Excited-state quantum phase transitions.
Journal of Physics A-Mathematical and Theoretical. Roč. 54, č. 13 (2021), č. článku 133001. ISSN 1751-8113. E-ISSN 1751-8121
Institutional support: RVO:68081731
Keywords : collective and fully connected many-body systems * infinite-size singularities of Hamiltonian eigenvalues and eigenvectors * quasiclassical level density and level dynamics * microcanonical phase transitions * anomalous response to external driving * tunneling singularities
OECD category: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Impact factor: 2.331, year: 2021
Method of publishing: Open access
https://iopscience.iop.org/article/10.1088/1751-8121/abdfe8

We review the effects of excited-state quantum phase transitions (ESQPTs) in interacting many-body systems with finite numbers of collective degrees of freedom. We classify typical ESQPT signatures in the spectra of energy eigenstates with respect to the underlying classical dynamics and outline a variety of quantum systems in which they occur. We describe thermodynamic and dynamic consequences of ESQPTs, like those in microcanonical thermodynamics, quantum quench dynamics, and in the response to nearly adiabatic or periodic driving. We hint at some generalizations of the ESQPT concept in periodic lattices and in resonant tunneling systems.
Permanent Link: http://hdl.handle.net/11104/0325481