RT Journal Article
T1 Chaos in a deformed Dicke model
A1 Corps, Angel L.
A1 Molina, Rafael A.
A1 Relaño Pérez, Armando
AB The critical behavior in an important class of excited state quantum phase transitions is signaled by the presence of a new constant of motion only at one side of the critical energy. We study the impact of this phenomenon in the development of chaos in a modified version of the paradigmatic Dicke model of quantum optics, in which a perturbation is added that breaks the parity symmetry. Two asymmetric energy wells appear in the semiclassical limit of the model, whose consequences are studied both in the classical and in the quantum cases. Classically, Poincare sections reveal that the degree of chaos not only depends on the energy of the initial condition chosen, but also on the particular energy well structure of the model. In the quantum case, Peres lattices of physical observables show that the appearance of chaos critically depends on the quantum conserved number provided by this constant of motion. The conservation law defined by this constant is shown to allow for the coexistence between chaos and regularity at the same energy. We further analyze the onset of chaos in relation with an additional conserved quantity that the model can exhibit.
PB IOP Publishing Ltd
SN 1751-8113
YR 2022
FD 2022-02-25
LK https://hdl.handle.net/20.500.14352/71343
UL https://hdl.handle.net/20.500.14352/71343
LA eng
NO © 2022 IOP Publishing Ltd. This work has been financially supported by the Spanish Grant No. PGC2018-094180-BI00 (MCIU/AEI/FEDER, EU), CAM/FEDER Project No. S2018/TCS-4342 (QUITEMADCM), and CSIC Research Platform on Quantum Technologies PTI-001. ALC acknowledges financial support from 'la Caixa' Foundation (ID 100010434) through the fellowship LCF/BQ/DR21/11880024.
NO Ministerio de Ciencia e Innovación (MICINN)/FEDER
NO Comunidad de Madrid/FEDER
NO CSIC Research Platform on Quantum Technologies
NO Fundación "la Caixa"
DS Docta Complutense
RD 5 abr 2025