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Updated: May 18, 2026

Resonance Raman Spectroscopy of Extreme Nanowires and Other 1D Systems

Resonance Raman Spectroscopy of Extreme Nanowires and Other 1D Systems

Published on: April 28, 2016

Double resonance in the infinite-range quantum Ising model.

Sung-Guk Han¹, Jaegon Um, Beom Jun Kim

¹Department of Physics and BK21 Physics Research Division, Sungkyunkwan University, Suwon 440-746, Korea.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|September 26, 2012

Summary

We investigated quantum resonance in the kinetic Ising model. Two resonance peaks were observed near the quantum phase transition, suggesting this is a general feature of continuous transitions in many-body systems.

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Area of Science:

Quantum physics
Condensed matter theory
Statistical mechanics

Background:

The kinetic Ising model describes magnetic systems with quantum effects.
Understanding quantum resonance is crucial for characterizing many-body system dynamics.

Purpose of the Study:

To investigate quantum resonance behavior in the infinite-range kinetic Ising model at zero temperature.
To explore the impact of external magnetic fields on resonance phenomena.

Main Methods:

Numerical integration of the time-dependent Schrödinger equation.
Analysis of the system's response to an external magnetic field in the z-direction.
Varying transverse field strengths (g) to observe resonance effects.

Main Results:

Identified two distinct resonance peaks in the system's behavior.
These peaks occur when the energy gap aligns with the external driving frequency.
Resonance phenomena were observed at transverse field strengths both below and above the quantum phase transition.

Conclusions:

The occurrence of double resonance peaks is a generic feature of continuous phase transitions.
This phenomenon is expected in both quantum and classical many-body systems exhibiting such transitions.