Related Experiment Video
Updated: Jul 31, 2026
07:34
A Cost-effective and Reliable Method to Predict Mechanical Stress in Single-use and Standard Pumps
Published on: August 5, 2015
Counting statistics of an adiabatic pump
1Department of Physics, CB 390, University of Colorado, Boulder, Colorado 80303, USA.
Physical Review Letters
|September 16, 2000
Summary
We derived charge counting statistics for an adiabatic quantum dot pump using the Schwinger-Keldysh formalism. This work discusses conditions for an ideal, noiseless quantized pump, crucial for quantum information processing.
Area of Science:
- Quantum electronics
- Mesoscopic physics
- Quantum transport
Background:
- Understanding charge transport in quantum systems is essential for developing quantum devices.
- Adiabatic quantum pumps offer a mechanism for controlled charge transfer.
- Open quantum dots are key components in studying quantum transport phenomena.
Purpose of the Study:
- To derive the charge counting statistics of an adiabatic pump in an open quantum dot.
- To analyze the distribution function of transmitted charge using the S matrix.
- To investigate the mapping to voltage pulse pumping and the role of chiral anomaly.
Main Methods:
- Schwinger-Keldysh formalism for non-equilibrium quantum systems.
- Derivation of the transmitted charge distribution function.
- Chiral gauge transformation to map the system.
Main Results:
- Obtained the charge counting statistics for an adiabatic quantum dot pump.
- Derived the distribution function of transmitted charge.
- Highlighted the significance of chiral anomaly in the mapped system.
Conclusions:
- The study provides a theoretical framework for analyzing adiabatic quantum pumps.
- Conditions for achieving an ideal, noiseless quantized pump are discussed.
- The findings are relevant for the design of quantum electronic devices and metrology.
Related Concept Videos
01:27Pressure and Volume in an Adiabatic Process
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,
01:20Work Done in an Adiabatic Process
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...
01:16Measurement of Fluid Pressure
Fluid pressure is commonly measured using devices called manometers, which rely on liquid columns to indicate pressure differences. The height of a liquid column in a manometer reflects the pressure exerted by the fluid, providing a simple yet effective means of measurement. Different types of manometers serve specific purposes based on their configurations and the type of fluids involved.
A basic form of manometer is the piezometer, a vertical tube open at the top and filled with the same...
A basic form of manometer is the piezometer, a vertical tube open at the top and filled with the same...
01:16Bernoulli's Equation: Problem Solving
A Venturi meter is essential for measuring fluid flow rates in pipelines. It utilizes the relationship between fluid velocity and pressure described by Bernoulli's equation. When installed in a sewage system, the Venturi meter accurately determines the wastewater flow rate by measuring pressure differences.
The first step is to compute the cross-sectional areas of the pipe and the Venturi throat to analyze the pressure difference indicated by the pressure gauge. Next, the continuity equation is...
The first step is to compute the cross-sectional areas of the pipe and the Venturi throat to analyze the pressure difference indicated by the pressure gauge. Next, the continuity equation is...
01:04Application of the Energy Equation
The application of the energy equation to centrifugal pumps is a fundamental principle in fluid dynamics and engineering. In this scenario, the energy equation is used to calculate the flow rate of a centrifugal pump responsible for transferring water between two reservoirs at different elevations. The pump applies an energy input of 7500 joules per second, and the vertical difference between the lower and upper reservoirs is 10 meters. Additionally, the head loss due to friction and other...
01:28Pipe Flowrate Measurement: Problem Solving
A spray tank system is engineered to uniformly distribute a pest-control liquid across plants by using a pressurized mechanism. The tank, pressurized to 150 kPa, holds the pesticide at a height of 0.80 meters. Liquid flows from the tank through a 1.9 meter pipe with a diameter of 0.015 meters, angled at 0.698 radians, ultimately reaching a 0.007 meter nozzle that sprays the pesticide. Accurate calculation of the system's flow rate is crucial to ensure uniform application, and this is achieved...