| Full text | |
| Author(s): |
Naze, Pierre
;
Bonanca, Marcus V. S.
;
Deffner, Sebastian
Total Authors: 3
|
| Document type: | Journal article |
| Source: | Entropy; v. 24, n. 5, p. 14-pg., 2022-05-01. |
| Abstract | |
While quantum phase transitions share many characteristics with thermodynamic phase transitions, they are also markedly different as they occur at zero temperature. Hence, it is not immediately clear whether tools and frameworks that capture the properties of thermodynamic phase transitions also apply in the quantum case. Concerning the crossing of thermodynamic critical points and describing its non-equilibrium dynamics, the Kibble-Zurek mechanism and linear response theory have been demonstrated to be among the very successful approaches. In the present work, we show that these two approaches are also consistent in the description of quantum phase transitions, and that linear response theory can even inform arguments of the Kibble-Zurek mechanism. In particular, we show that the relaxation time provided by linear response theory gives a rigorous argument for why to identify the "gap" as a relaxation rate, and we verify that the excess work computed from linear response theory exhibits Kibble-Zurek scaling. (AU) | |
| FAPESP's process: | 18/06365-4 - Optimization of thermodynamical work in far from equilibrium systems |
| Grantee: | Pierre Marie Antoine Leite Nazé |
| Support Opportunities: | Scholarships in Brazil - Doctorate |
| FAPESP's process: | 18/21285-7 - Optimization of thermodynamic work with machine learning control |
| Grantee: | Pierre Marie Antoine Leite Nazé |
| Support Opportunities: | Scholarships abroad - Research Internship - Doctorate |
| FAPESP's process: | 20/02170-4 - Optimal thermodynamic processes in out-of-equilibrium systems |
| Grantee: | Marcus Vinicius Segantini Bonança |
| Support Opportunities: | Regular Research Grants |