Dynamical quantum phase transitions in extended transverse Ising models

Sourav Bhattacharjee and Amit Dutta
Phys. Rev. B 97, 134306 – Published 20 April 2018

Abstract

We study the dynamical quantum phase transitions (DQPTs) manifested in the subsequent unitary dynamics of an extended Ising model with an additional three spin interactions following a sudden quench. Revisiting the equilibrium phase diagram of the model, where different quantum phases are characterized 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, thereby leading to a single critical time scale for a given sector of Fisher zeros.

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  • Received 28 February 2018

DOI:https://doi.org/10.1103/PhysRevB.97.134306

©2018 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsStatistical Physics & Thermodynamics

Authors & Affiliations

Sourav Bhattacharjee and Amit Dutta

  • Department of Physics, Indian Institute of Technology, Kanpur 208016, India

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Issue

Vol. 97, Iss. 13 — 1 April 2018

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