Dynamical quantum phase transitions in extended transverse Ising models

Bhattacharjee, Sourav ; Dutta, Amit (2018) Dynamical quantum phase transitions in extended transverse Ising models Physical Review B, 97 (13). ISSN 2469-9950

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Official URL: http://doi.org/10.1103/PhysRevB.97.134306

Related URL: http://dx.doi.org/10.1103/PhysRevB.97.134306


We study the dynamical quantum phase transitions (DQPTs) manifested in the subsequent unitary dynamics of an extended Ising model with additional three spin interactions following a sudden quench. Revisiting the equilibrium phase diagram of the model where different quantum phases are characterised by different winding numbers, we show that in some situations the winding number may not change across a gap closing point in the energy spectrum. Although, usually there exists a one-to-one correspondence between the change in winding number and the number of critical time scales associated with DQPTs, we show that the extended nature of interactions may lead to unusual situations. Importantly, we show that in the limit of the cluster Ising model, three critical modes associated with DQPTs become degenerate and thereby leading to a single critical time scale for a given sector of Fisher zeros.

Item Type:Article
Source:Copyright of this article belongs to American Physical Society.
ID Code:117165
Deposited On:16 Apr 2021 04:33
Last Modified:16 Apr 2021 04:33

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