Order, chaos and quasi symmetries in a first-order quantum phase transition

16th Symmetries in Science

Leviatan, A.^1 ; Macek, M.^1

Racah Institute of Physics, Hebrew University, Jerusalem

91904, Israel^1

关键词: Boson models;    Competing orders;    Dynamical symmetry;    First-order Quantum phase transition;    Quantum analysis;    Quasisymmetry;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/538/1/012012/pdf
DOI  :  10.1088/1742-6596/538/1/012012

来源: IOP

【 摘 要 】

We study the competing order and chaos in a first-order quantum phase transition with a high barrier. The boson model Hamiltonian employed, interpolates between its U(5) (spherical) and SU(3) (deformed) limits. A classical analysis reveals regular (chaotic) dynamics at low (higher) energy in the spherical region, coexisting with a robustly regular dynamics in the deformed region. A quantum analysis discloses, amidst a complicated environment, persisting regular multiplets of states associated with partial U(5) and quasi SU(3) dynamical symmetries.