Dynamics of Steered Quantum Coherence and Magic Resource under Sudden Quench

TL;DR

This paper investigates how quantum coherence and magic resources evolve dynamically in a one-dimensional XY spin chain under sudden quenches, revealing critical behavior and scaling laws related to quantum phase transitions.

Contribution

It introduces a detailed analysis of the dynamics of quantum coherence and magic resources during quenches, highlighting their sensitivity to initial states and critical points, with new scaling insights.

Findings

Quantum coherence and magic resources peak at quantum phase transitions.

Scaling of revival times is linear with system size, independent of initial phase.

Abrupt changes occur at critical points depending on initial state.

Abstract

We explore the dynamics of l_1-norm of steered quantum coherence (SQC), steered quantum relative entropy (SQRE), and magic resource quantifier (QRM) in the one-dimensional XY spin chain in the presence of time dependent transverse magnetic field. We find that the system's response is highly sensitive to the initial state and magnetic field strength. % We show that the dynamics of SQC, SQRE and MRQ revealing the critical point associated with equilibrium quantum phase transition (QPT) of the system. All quantities show maximum at QPT when the initial state is prepared in the ferromagnetic phase. Conversely, they undergo abrupt changes at quantum critical point if the initial state of the system is paramagnetic. Moreover, our results confirm that, when quench is done to the quantum critical point, the first suppression (revival) time scales linearly with the system size, and remarkably, its scaling ratio remains consistent for all quenches, irrespective of the initial phase of the system. % These results highlight the interplay between the quantum information resources and dynamics of quantum systems away from the equilibrium. Such insights could be vital for quantum information processing and understanding non-equilibrium phenomena in quantum many-body systems.