Achieving spin-squeezed states by quench dynamics in a quantum chain

Abstract

We study the time evolution of spin squeezing in the one-dimensional spin-1/2 XY model subject to a sudden quantum quench of a transverse magnetic field. The initial state is selected from the ground state phase diagram of the model, consisting of ferro- and paramagnetic phases separated by a critical value of the transverse field. Our analysis, based on exact results for the model, reveals that by a proper choice of protocol, a quantum quench from an unsqueezed state can create spin squeezed nonequilibrium states. We also identify a nonanalyticity in the long-time average of the spin-squeezing parameter when quenching to the equilibrium quantum critical point. This suggests that the ferro- and paramagnetic phases also define distinct phases for how the transverse field redistributes quantum fluctuations among the spin components away from equilibrium.

14 pages, 10 figures, Revised version, Added references, corrected calculation of off-diagonal spin correlations

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• Preparing spin-squeezed states in Rydberg atom arrays via quantum optimal control
• Amplifying quantum correlations with quench dynamics in a quantum spin chain: Steady-states versus ground-states