# Anti-Kibble-Zurek behavior of a noisy transverse-field XY chain and its quantum simulation with two-level systems

## TL;DR

This paper investigates how noise affects defect formation in a driven quantum XY chain, revealing anti-Kibble-Zurek behavior where slower quenches produce more defects, and proposes a quantum simulation scheme to test these effects.

## Contribution

It demonstrates anti-Kibble-Zurek behavior in a noisy XY chain across various quench protocols and proposes a feasible quantum simulation method using two-level systems.

## Key findings

- Slower driving leads to more defects in noisy conditions.
- Optimal quench time scales as a universal power law with noise strength.
- Proposed quantum simulation scheme can experimentally test the anti-Kibble-Zurek behavior.

## Abstract

We study the dynamics of a transverse-field XY chain driven across quantum critical points by noisy control fields. We characterize the defect density as a function of the quench time and the noise strength, and demonstrate that the defect productions for three quench protocols with different scaling exponents exhibit the anti-Kibble-Zurek behavior, whereby slower driving results in more defects. The protocols are quenching through the boundary line between paramagnetic and ferromagnetic phases, quenching across the isolated multicritical point and along the gapless line, respectively. We also show that the optimal quench time to minimize defects scales as a universal power law of the noise strength in all the three cases. Furthermore, by using quantum simulation of the quench dynamics in the spin system with well-designed Landau-Zener crossings in pseudo-momentum space, we propose an experimentally feasible scheme to test the predicted anti-Kibble-Zurek behavior of this noisy transverse-field XY chain with two-level systems under controllable fluctuations.