Work statistics and symmetry breaking in an excited-state quantum phase transition

Autor: John Goold, Morad El Baz, Zakaria Mzaouali, Ricardo Puebla, Steve Campbell
Přispěvatelé: Science Foundation Ireland, European Commission
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Mzaouali, Z, Puebla, R, Goold, J, El Baz, M & Campbell, S 2021, ' Work statistics and symmetry breaking in an excited-state quantum phase transition ', Physical review. E, vol. 103, no. 3, 032145 . https://doi.org/10.1103/PhysRevE.103.032145
Digital.CSIC. Repositorio Institucional del CSIC
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DOI: 10.1103/PhysRevE.103.032145
Popis: 8 pags., 6 figs., 1 app.
We examine how the presence of an excited-state quantum phase transition manifests in the dynamics of a many-body system subject to a sudden quench. Focusing on the Lipkin-Meshkov-Glick model initialized in the ground state of the ferromagnetic phase, we demonstrate that the work probability distribution displays non-Gaussian behavior for quenches in the vicinity of the excited-state critical point. Furthermore, we show that the entropy of the diagonal ensemble is highly susceptible to critical regions, making it a robust and practical indicator of the associated spectral characteristics. We assess the role that symmetry breaking has on the ensuing dynamics, highlighting that its effect is only present for quenches beyond the critical point. Finally, we show that similar features persist when the system is initialized in an excited state and briefly explore the behavior for initial states in the paramagnetic phase.
We acknowledge support from the SFI-DfE Investigator Programme (Grant No. 15/IA/2864), the European Research Council Starting Grant ODYSSEY (G. A. Grant No. 758403), the SFIRoyal Society University Research Fellowship scheme, and the Science Foundation Ireland Starting Investigator Research Grant “SpeedDemon” (Grant No. 18/SIRG/5508).
Databáze: OpenAIRE