Time-Periodic Quantum Systems

2021 ◽  
pp. 339-396
Author(s):  
Linda Reichl
Keyword(s):  
Quantum Systems ◽  
Time Periodic

scholarly journals Flow-equation approach to quantum systems driven by an amplitude-modulated time-periodic force

2022 ◽  
Vol 105 (1) ◽  
Author(s):  
Viktor Novičenko ◽  
Giedrius Žlabys ◽  
Egidijus Anisimovas
Keyword(s):  
Quantum Systems ◽  
Flow Equation ◽  
Equation Approach ◽  
Periodic Force ◽  
Time Periodic

scholarly journals Variational principle for time-periodic quantum systems

2020 ◽  
Vol 75 (10) ◽  
pp. 855-861
Author(s):  
Nils Krüger
Keyword(s):  
Variational Principle ◽  
Numerical Methods ◽  
Solvable Model ◽  
Quantum Systems ◽  
Time Dependent ◽  
High Dimensional ◽  
Benchmark System ◽  
Time Periodic ◽  
Very High ◽  
Floquet States

AbstractA variational principle enabling one to compute individual Floquet states of a periodically time-dependent quantum system is formulated, and successfully tested against the benchmark system provided by the analytically solvable model of a linearly driven harmonic oscillator. The principle is particularly well suited for tracing individual Floquet states through parameter space, and may allow one to obtain Floquet states even for very high-dimensional systems which cannot be treated by the known standard numerical methods.

scholarly journals Time Periodic Perturbations of Quantum Systems

1979 ◽  
Vol 34 (12) ◽  
pp. 1404-1409 ◽  
Author(s):  
A. Kelemen
Keyword(s):  
Spectral Line ◽  
Quantum System ◽  
Energy Levels ◽  
Quantum Systems ◽  
Spectral Lines ◽  
Arbitrary Distribution ◽  
Periodic Perturbations ◽  
The Mean ◽  
Time Periodic

Abstract We discuss a method of calculating the mean energy of a quantum system if the latter is subjected to time periodic perturbations. This, e.g., includes the possibility of determining shapes of spectral lines for an arbitrary distribution of nonperturbed energy levels. The method is studied on a system of order 2 whose spectral line is exactly lorentzian. We prove that the next to lowest approximation reproduces this form exactly.

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