Controlling quantum critical dynamics of isolated systems

TL;DR

This paper reviews methods for controlling non-adiabatic dynamics in isolated quantum systems near critical points, emphasizing protocol design to minimize excitations with relevance to ultracold atoms and spin systems.

Contribution

It provides a comprehensive overview of strategies for designing protocols to suppress excitations during quantum critical dynamics, highlighting experimental implementations.

Findings

Different driving schemes influence defect production.

Protocols can be optimized for experimental systems.

Implementation in ultracold atom and spin systems is feasible.

Abstract

Controlling the non adiabatic dynamics of isolated quantum systems driven through a critical point is of interest in a variety of fields ranging from quantum simulation to finite-time thermodynamics. We briefly review the different methods for designing protocols which minimize excitation (defect) production in a closed quantum critical system driven out of equilibrium. We chart out the role of specific driving schemes for this procedure, point out their experimental relevance, and discuss their implementation in the context of ultracold atom and spin systems.