Related Experiment Video
Updated: Jan 17, 2026
07:28
Evolution of Staircase Structures in Diffusive Convection
Published on: September 5, 2018
6.9K
Analytical shortcuts to adiabaticity of weakly driven processes
1Universidade Federal do Pará, Faculdade de Física, ICEN, Av. Augusto Corrêa, 1, Guamá, 66075-110, Belém, Pará, Brazil.
Physical Review. E
|September 16, 2025
Summary
This study presents analytical expressions for shortcuts to adiabaticity in finite-time, weakly driven processes. These shortcuts ensure no excess energy is added, preventing unwanted excitations in quantum systems.
Area of Science:
- Thermodynamics
- Quantum Mechanics
- Statistical Physics
Background:
- Achieving adiabatic processes in finite time is crucial for controlling quantum systems.
- Shortcuts to adiabaticity aim to speed up processes without introducing excitations.
- Open quantum systems present challenges due to environmental interactions.
Purpose of the Study:
- To derive analytical expressions for shortcuts to adiabaticity applicable to any switching time.
- To develop protocols for finite-time, weakly driven processes in thermally isolated systems.
- To validate these shortcuts using theoretical examples.
Main Methods:
- Analytical solution of optimal protocols for weak processes in open systems.
- Incorporation of the 'waiting time' concept for extension to adiabatic processes.
- Verification through analysis of excess power and its nullification.
Main Results:
- An analytical expression for shortcuts to adiabaticity is presented for any switching time.
- The derived shortcuts ensure zero excess power, preventing non-equilibrium excitations.
- Validation on an oscillatory relaxation function and the transverse-field quantum Ising chain.
Conclusions:
- The developed shortcuts to adiabaticity are effective for finite-time processes in weakly driven, isolated systems.
- The non-quenching process in the quantum Ising chain suppresses excitations more effectively than quenching.
- This work provides a theoretical framework for rapid, controlled manipulation of quantum states.
Related Concept Videos
01:18Adiabatic Processes for an Ideal Gas
4.0K
When an ideal gas is compressed adiabatically, that is, without adding heat, work is done on it, and its temperature increases. In an adiabatic expansion, the gas does work, and its temperature drops. Adiabatic compressions actually occur in the cylinders of a car, where the compressions of the gas-air mixture take place so quickly that there is no time for the mixture to exchange heat with its environment. Nevertheless, because work is done on the mixture during the compression, its...
4.0K
01:20Work Done in an Adiabatic Process
4.1K
Consider the adiabatic compression of an ideal gas in the cylinder of an automobile diesel engine. The gasoline vapor is injected into the cylinder of an automobile engine when the piston is in its expanded position. The temperature, pressure, and volume of the resulting gas-air mixture are 20 °C, 1.00 x 105 N/m2, and 240 cm3 , respectively. The mixture is then compressed adiabatically to a volume of 40 cm3. Note that, in the actual operation of an automobile engine, the compression is not...
4.1K
01:27Pressure and Volume in an Adiabatic Process
3.3K
Free expansion of a gas is an adiabatic process. However, there are few differences between free expansion and adiabatic expansion. During free expansion, no work is done, and there is no change in internal energy. But, for an adiabatic expansion, work is done, and there is a change in internal energy. During an adiabatic process, the relation between the pressure and volume is obtained from the condition for the adiabatic process, that is,
3.3K
01:21Path Between Thermodynamics States
3.9K
Consider the two thermodynamic processes involving an ideal gas that are represented by paths AC and ABC in Figure 1:
3.9K
01:16Efficiency of The Carnot Cycle
3.6K
The hypothetical Carnot cycle consists of an ideal gas subjected to two isothermal and two adiabatic processes. Since the internal energy of an ideal gas depends only on its temperature, which is the same before and after the completion of the Carnot cycle, there is no change in its internal energy. Hence, using the first law of thermodynamics, the total heat exchanged by the ideal gas equals the total work done. Thus, we can quantify the efficiency of the Carnot cycle via the heat exchanged...
3.6K
01:14Reversible and Irreversible Processes
5.6K
The thermodynamic processes can be classified into reversible and irreversible processes. The processes that can be restored to their initial state are called reversible processes. It is only possible if the process is in quasi-static equilibrium, i.e., it takes place in infinitesimally small steps, and the system remains at equilibrium However, these are ideal processes and do not occur naturally. An ideal system undergoing a reversible process is always in thermodynamic equilibrium within...
5.6K