Abstract:
In this note, we use geometric optimal control to completely solve the problem of minimum-time transitions between thermal equilibrium states of the quantum parametric os...Show MoreMetadata
Abstract:
In this note, we use geometric optimal control to completely solve the problem of minimum-time transitions between thermal equilibrium states of the quantum parametric oscillator, which finds applications in various physical contexts. We discover a new kind of optimal solutions, absent from all the previous treatments of the problem.
Published in: IEEE Transactions on Automatic Control ( Volume: 62, Issue: 8, August 2017)
Keywords assist with retrieval of results and provide a means to discovering other relevant content. Learn more.
- IEEE Keywords
- Index Terms
- Equilibrium State ,
- Parametric Oscillator ,
- Thermal Equilibrium State ,
- Optimal Control ,
- Thermal Conditions ,
- Kinds Of Solutions ,
- Geometric Control ,
- Maximum And Minimum ,
- System State ,
- Ordinary Differential Equations ,
- Oscillation Frequency ,
- Boundary Value ,
- Even Number ,
- Types Of Solutions ,
- Density Matrix ,
- Harmonic Oscillator ,
- Harmonic Potential ,
- Maximum Principle ,
- First-order Differential Equations ,
- Heat Engine ,
- Pontryagin Maximum Principle ,
- Heisenberg Picture ,
- Admission Control ,
- Optimal Control Theory ,
- Number Of Switches ,
- Maximum Work ,
- Transcendental Equation ,
- Final Time ,
- Constant Motion ,
- Switching Function
- Author Keywords
Contents Keywords assist with retrieval of results and provide a means to discovering other relevant content. Learn more.
- IEEE Keywords
- Index Terms
- Equilibrium State ,
- Parametric Oscillator ,
- Thermal Equilibrium State ,
- Optimal Control ,
- Thermal Conditions ,
- Kinds Of Solutions ,
- Geometric Control ,
- Maximum And Minimum ,
- System State ,
- Ordinary Differential Equations ,
- Oscillation Frequency ,
- Boundary Value ,
- Even Number ,
- Types Of Solutions ,
- Density Matrix ,
- Harmonic Oscillator ,
- Harmonic Potential ,
- Maximum Principle ,
- First-order Differential Equations ,
- Heat Engine ,
- Pontryagin Maximum Principle ,
- Heisenberg Picture ,
- Admission Control ,
- Optimal Control Theory ,
- Number Of Switches ,
- Maximum Work ,
- Transcendental Equation ,
- Final Time ,
- Constant Motion ,
- Switching Function
- Author Keywords
