Quantum response to time-dependent external fields

TL;DR

This paper investigates quantum dynamics under time-dependent external fields across various models, aiming to understand control mechanisms for quantum states and the effects of dissipation, with potential applications in quantum information processing.

Contribution

It introduces a comprehensive study of quantum control in different models, including the transverse Ising model and itinerant magnetic states, considering thermal, quantum fluctuations, and dissipation effects.

Findings

Comparison of thermal and quantum fluctuations in the transverse Ising model.

Identification of peculiar energy level structures with Dzyaloshinsky-Moriya interaction.

Observation of the transition from Mott insulator to Nagaoka ferromagnetic state.

Abstract

Recently, explicit real time dynamics has been studied in various systems. These quantum mechanical dynamics could provide new recipes in information processing. We study quantum dynamics under time dependent external fields, and explore how to control the quantum state, and also how to bring the state into a target state. Here, we investigate a pure quantum mechanical dynamics, dynamics in quantum Monte Carlo simulation and also in quantum master equation. For the control magnetic states, operators which do not commute with magnetization are important. We study case of the transverse Ising model, in which we compare natures of thermal and quantum fluctuations. We also study the cases of the Dzyaloshinsky-Moriya interaction, where we find a peculiar energy level structure. Moreover we study the case of itinerant magnetic state, where we study the change from the Mott insulator to the Nagaoka ferromagnetic state. Effects of dissipation are also discussed.