Loschmidt amplitude zeros as a probe for criticality in the quenched XY model

Authors

Jan Philippe B. Sambo ⋅ PH National Institute of Physics, University of the Philippines Diliman
Francis N. C. Paraan ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

This paper investigates the correspondence between dynamical phase transitions (DPT) and quenches across quantum critical points (QCP) in ground state quenches of a spin-1/2 XY model. These DPTs are identified by treating the wavefunction overlap between pre- and post-quench states as a partition funtion and determining its Fisher zeros. It is found that DPTs do not always occur when the quench crosses a quantum critical line. A general condition for the occurrence of these DPTs in the XY model is derived.

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Issue

2016: Proceedings of the 34th Samahang Pisika ng Pilipinas Physics Conference

Physics at the front and center: Strengthening core values in physics research
18–21 August 2016, University of the Philippines Visayas, Iloilo City

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Article ID

SPP-2016-5C-06

Section

Theoretical and Computational Physics

Published

2016-08-18

How to Cite

[1]

JPB Sambo and FNC Paraan, Loschmidt amplitude zeros as a probe for criticality in the quenched XY model, Proceedings of the Samahang Pisika ng Pilipinas 34, SPP-2016-5C-06 (2016). URL: https://proceedings.spp-online.org/article/view/SPP-2016-5C-06.