Related Experiment Video
Updated: Jul 3, 2025
08:35
Interactive and Visualized Online Experimentation System for Engineering Education and Research
Published on: November 24, 2021
2.4K
Steady state engineering of a two-level system by the mixed-state inverse engineering scheme
1School of Physics and Materials Engineering, Dalian Nationalities University, Dalian, 116600, China.
Scientific Reports
|February 10, 2024
Summary
This study shows coherent control can engineer quantum states in driven open systems. This method simplifies mixed-state control, but requires specific quantum state trajectories for accuracy.
Area of Science:
- Quantum mechanics
- Open quantum systems
- Quantum control
Background:
- Mixed-state inverse engineering is crucial for controlling quantum states in driven open systems.
- Typically, varying quantum state purity necessitates incoherent control techniques.
Purpose of the Study:
- To analytically study the mixed-state inverse engineering scheme.
- To apply this scheme to a driven two-level model coupled to a heat reservoir.
Main Methods:
- Analytical study of a mixed-state inverse engineering scheme.
- Application to a driven two-level quantum system model.
- Analysis of both Markovian and non-Markovian dynamics.
Main Results:
- Coherent control protocols can be used for mixed-state engineering, contrary to typical assumptions.
- This is achievable for both Markovian and non-Markovian quantum dynamics.
- The quantum state evolution is constrained to specific trajectories in Hilbert space.
Conclusions:
- Coherent control offers a simplified approach to mixed-state inverse engineering.
- The simplification is contingent upon adhering to restricted evolution conditions and special state trajectories.
More Related Videos
09:04A Modeling and Simulation Method for Preliminary Design of an Electro-Variable Displacement Pump
Published on: June 1, 2022
3.1K
06:45Design and Application of a Fault Detection Method Based on Adaptive Filters and Rotational Speed Estimation for an Electro-Hydrostatic Actuator
Published on: October 28, 2022
1.6K
Related Concept Videos
01:27State Space Representation
208
The frequency-domain technique, commonly used in analyzing and designing feedback control systems, is effective for linear, time-invariant systems. However, it falls short when dealing with nonlinear, time-varying, and multiple-input multiple-output systems. The time-domain or state-space approach addresses these limitations by utilizing state variables to construct simultaneous, first-order differential equations, known as state equations, for an nth-order system.
Consider an RLC circuit, a...
Consider an RLC circuit, a...
208
01:18Second Order systems II
111
In an underdamped second-order system, where the damping ratio ζ is between 0 and 1, a unit-step input results in a transfer function that, when transformed using the inverse Laplace method, reveals the output response. The output exhibits a damped sinusoidal oscillation, and the difference between the input and output is termed the error signal. This error signal also demonstrates damped oscillatory behavior. Eventually, as the system reaches a steady state, the error diminishes to zero.
111
01:23Transfer Function to State Space
257
State-space representation is a powerful tool for simulating physical systems on digital computers, necessitating the conversion of the transfer function into state-space form. Consider an nth-order linear differential equation with constant coefficients, like those encountered in an RLC circuit. The state variables are selected as the output and its n−1 derivatives. Differentiating these variables and substituting them back into the original equation produces the state equations.
In an...
In an...
257
01:22Mechanical Systems
199
Mechanical systems are analogous to to electrical networks where springs and masses play similar roles to inductors and capacitors, respectively. A viscous damper in mechanical systems functions similarly to a resistor in electrical networks, dissipating energy. The forces acting on a mass in such systems include an applied force in the direction of motion, counteracted by forces from the spring, a viscous damper, and the mass's acceleration. This interplay of forces is mathematically...
199
01:21Linear Approximation in Time Domain
81
Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
81
01:24One-Degree-of-Freedom System
488
In mechanical engineering, one-degree-of-freedom systems form the basis of a wide range of electrical and mechanical components. Using these models, engineers can predict the behavior of various parts in a larger system, which gives them insight into how different forces interact with each other.
A one-degree-of-freedom system is defined by an independent variable that determines its state and behavior. One example of a one-degree-of-freedom system is a simple harmonic oscillator, such as a...
A one-degree-of-freedom system is defined by an independent variable that determines its state and behavior. One example of a one-degree-of-freedom system is a simple harmonic oscillator, such as a...
488