TL;DR
This paper surveys how harmonic magnetic fields influence quantum operations, examining their effects on observables and contributing to quantum control theory through analysis of time-dependent Hamiltonians.
Contribution
It provides a comprehensive analysis of quantum dynamics under time-varying magnetic fields, highlighting effects like squeezing and parametric resonances, advancing quantum control methods.
Findings
Identification of squeezing effects in quantum states
Analysis of looping and resonance phenomena
Insights into time-dependent quantum observable evolution
Abstract
This manuscript surveys quantum operations under the influence of harmonic magnetic fields subject to time variations. The author scrutinises the dynamic interplay of these fields and canonical variables, leading to effects such as squeezing, looping effects, and parametric resonances. The time evolution of observables tethered to a time-dependent quadratic Hamiltonian is examined. The results of this inquiry offer contributions to the quantum control theory.
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