SKM 2021 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 9: Poster Session: Correlated Electrons
TT 9.42: Poster
Tuesday, September 28, 2021, 13:30–16:00, P
Dynamical quantum phase transitions in a chiral p-wave superconductor upon chemical potential quenches — •Yuto Shibata1,2, Chitra Ramasubramanian2, and Aline Ramires1 — 1Condensed Matter Theory Group, Paul Scherrer Institut, 5232 Villigen PSI, Switzerland — 2Institute for Theoretical Physics, ETH Zürich, 8093 Zürich, Switzerland
Dynamical quantum phase transitions (DQPTs) have been shown useful to identify non-trivial topology of quantum systems [1,2]. However, most of the preceding works do not incorporate self-consistency conditions for order parameters, which leads to periodic DQPTs.
Here, we study the dynamics of a two-dimensional chiral p-wave superconductor upon a quantum quench in the sign of the chemical potential within the BCS weak-coupling limit. We solve the BdG equations using fourth-order Runge-Kutta methods self-consistently and observe the phase of order parameter persistently oscillates sinusoidally in time after the quench. Despite the imposition of self-consistent conditions, periodic DQPTs are observed. These are identified as cusps in Loschmidt echo and accompanied by simultaneous creation of topological defects in the Pancharatnam geometric phase over curves in momentum space. We also discuss the robustness of the persistent phase oscillation against deformation of the Fermi surface and introduction of asymmetry to the chemical potential quenches.
[1] M. Heyl, Rep. Prog. Phys. 81, 054001 (2018).
[2] N. Fläschner et al., Nature Physics 14, 265-268 (2018).