Double resonance in the infinite-range quantum Ising model

preprint2012arXivOpen access

Abstract

We study quantum resonance behavior of the infinite-range kinetic Ising model at zero temperature. Numerical integration of the time-dependent Schrödinger equation in the presence of an external magnetic field in the zz direction is performed at various transverse field strengths gg. It is revealed that two resonance peaks occur when the energy gap matches the external driving frequency at two distinct values of gg, one below and the other above the quantum phase transition. From the similar observations already made in classical systems with phase transitions, we propose that the double resonance peaks should be a generic feature of continuous transitions, for both quantum and classical many-body systems.

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