Related Experiment Video
Updated: Nov 27, 2025
09:10
Fabrication and Testing of Microfluidic Optomechanical Oscillators
Published on: May 29, 2014
12.4K
Approximate Evolution for A Hybrid System-An Optomechanical Jaynes-Cummings Model.
Luis Medina-Dozal1, Irán Ramos-Prieto1, José Récamier1
1Instituto de Ciencias Físicas, Universidad Nacional Autónoma de México, Apdo. Postal 48-3, Cuernavaca, Morelos 62251, Mexico.
Entropy (Basel, Switzerland)
|December 6, 2020
Summary
This study develops an approximate method for analyzing forced optomechanical systems by combining elements of optomechanics and quantum optics. The new technique provides accurate results comparable to numerical simulations.
Area of Science:
- Quantum Optics
- Optomechanics
- Quantum Information
Background:
- Optomechanical systems couple optical and mechanical degrees of freedom.
- Jaynes-Cummings (JC) Hamiltonian describes light-matter interaction in quantum optics.
- Analyzing forced quantum systems often requires complex numerical methods.
Purpose of the Study:
- To develop an approximate analytical method for a forced optomechanical system.
- To combine phenomenological Hamiltonians from optomechanics and quantum optics.
- To linearize and simplify the system's Hamiltonian for easier analysis.
Main Methods:
- Constructed a phenomenological Hamiltonian from pumped optomechanical and JC Hamiltonians.
- Employed algebraic techniques to derive an approximate time evolution operator.
- Transformed the JC Hamiltonian into a generalized interaction picture Hamiltonian.
Main Results:
- Derived a linearized Hamiltonian with a time evolution operator in product form.
- Achieved remarkable agreement between analytical results and full numerical calculations.
- Demonstrated the validity and accuracy of the approximate analytical approach.
Conclusions:
- The developed analytical technique offers an efficient alternative to numerical simulations.
- This method provides valuable insights into the dynamics of forced optomechanical systems.
- The approach is extendable to other complex quantum optical and optomechanical models.
Related Concept Videos
01:30Simplified Synchronous Machine Model
479
The Synchronous Machine Model is a fundamental tool in analyzing and ensuring the transient stability of power systems. This model simplifies the representation of a synchronous machine under balanced three-phase positive-sequence conditions, assuming constant excitation and ignoring losses and saturation. The model is pivotal for understanding the behavior of synchronous generators connected to a power grid, particularly during transient events.
In this model, each generator is connected to a...
In this model, each generator is connected to a...
479
01:22Mechanical Systems
428
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...
428
01:17Open and closed-loop control systems
1.3K
Control systems are foundational elements in automation and engineering. They are broadly categorized into open-loop and closed-loop systems. These classifications hinge on the presence or absence of feedback mechanisms, significantly influencing the system's performance, complexity, and application.
An open-loop control system operates without feedback from the output. It consists of two primary elements: the controller and the controlled process. The controller receives an input signal...
An open-loop control system operates without feedback from the output. It consists of two primary elements: the controller and the controlled process. The controller receives an input signal...
1.3K
01:18Second Order systems II
279
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.
279
01:24One-Degree-of-Freedom System
662
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...
662
01:23Linear time-invariant Systems
702
A system is linear if it displays the characteristics of homogeneity and additivity, together termed the superposition property. This principle is fundamental in all linear systems. Linear time-invariant (LTI) systems include systems with linear elements and constant parameters.
The input-output behavior of an LTI system can be fully defined by its response to an impulsive excitation at its input. Once this impulse response is known, the system's reaction to any other input can be...
The input-output behavior of an LTI system can be fully defined by its response to an impulsive excitation at its input. Once this impulse response is known, the system's reaction to any other input can be...
702