Related Experiment Video
Updated: Nov 25, 2025

09:23
Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
Published on: May 30, 2014
14.8K
Universal two-level quantum Otto machine under a squeezed reservoir.
Rogério J de Assis1, José S Sales2, Jefferson A R da Cunha1
1Instituto de Física, Universidade Federal de Goiás, 74.001-970 Goiânia-GO, Brazil.
Physical Review. E
|December 17, 2020
Summary
This study presents a universal heat machine using a two-level system. It can produce work or cool/heat environments by adjusting parameters, even in finite-time operations.
Area of Science:
- Quantum thermodynamics
- Statistical mechanics
- Heat engine design
Background:
- Classical Otto heat engines have limitations in efficiency.
- Quantum systems offer novel approaches to thermodynamics.
- Squeezed thermal reservoirs can enhance thermodynamic processes.
Purpose of the Study:
- To investigate a quantum Otto heat engine with a two-level system.
- To explore the potential for universal behavior in quantum heat machines.
- To analyze performance in the practical finite-time regime.
Main Methods:
- Modeling a single two-level system interacting with thermal reservoirs.
- Utilizing a squeezed hot thermal reservoir.
- Analyzing the adiabaticity parameter and squeezing parameter.
- Studying the finite-time isentropic strokes.
Main Results:
- The two-level system demonstrates universal heat machine functionality.
- The machine can either produce net work or consume work for cooling/heating.
- Performance is analyzed in the finite-time regime, enhancing practical utility.
Conclusions:
- Quantum Otto engines with two-level systems can act as universal machines.
- Control over squeezing and adiabaticity enables versatile operation.
- Finite-time analysis is crucial for practical applications of quantum heat engines.
More Related Videos
Related Concept Videos
The Quantum-Mechanical Model of an Atom
55.1K
Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra.
55.1K
Hybridization of Atomic Orbitals II
43.4K
sp3d and sp3d 2 Hybridization
43.4K
Conservation of Energy in Control Volume
994
Consider a turbine operating under steady-flow conditions. The control volume is drawn around the turbine, with fluid entering at one point and exiting at another. The turbine extracts energy from the fluid, which performs mechanical work (shaft work).
For steady flow systems, the time derivative of the stored energy becomes zero since there is no energy accumulation within the control volume. This simplifies the energy equation to:
For steady flow systems, the time derivative of the stored energy becomes zero since there is no energy accumulation within the control volume. This simplifies the energy equation to:
994
Hybridization of Atomic Orbitals I
60.0K
The mathematical expression known as the wave function, ψ, contains information about each orbital and the wavelike properties of electrons in an isolated atom. When atoms are bound together in a molecule, the wave functions combine to produce new mathematical descriptions that have different shapes. This process of combining the wave functions for atomic orbitals is called hybridization and is mathematically accomplished by the linear combination of atomic orbitals. The new orbitals that...
60.0K
Ampere-Maxwell's Law: Problem-Solving
936
A parallel-plate capacitor with capacitance C, whose plates have area A and separation distance d, is connected to a resistor R and a battery of voltage V. The current starts to flow at t = 0. What is the displacement current between the capacitor plates at time t? From the properties of the capacitor, what is the corresponding real current?
To solve the problem, we can use the equations from the analysis of an RC circuit and Maxwell's version of Ampère's law.
For the first part of the...
To solve the problem, we can use the equations from the analysis of an RC circuit and Maxwell's version of Ampère's law.
For the first part of the...
936
The Squeeze Theorem
65
Certain mathematical functions exhibit unpredictable or highly variable behavior near specific input values, making direct evaluation of their limits challenging. This complexity may arise from rapid oscillations or irregular patterns that obscure the function’s trend. In such cases, the Squeeze Theorem offers a reliable method for determining limits.According to the Squeeze Theorem, if a function is confined between two other functions near a particular point, and both outer functions...
65

