Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Distribution of Molecular Speeds01:27

Distribution of Molecular Speeds

6.0K
The motion of molecules in a gas is random in magnitude and direction for individual molecules, but a gas of many molecules has a predictable distribution of molecular speeds. This predictable distribution of molecular speeds is known as the Maxwell-Boltzmann distribution. The distribution of molecular speeds in liquids is comparable to that of gases but not identical and can help to understand the phenomenon of the boiling and vapor pressure of a liquid. Consider that a molecule requires a...
6.0K
Maxwell-Boltzmann Distribution: Problem Solving01:20

Maxwell-Boltzmann Distribution: Problem Solving

3.2K
Individual molecules in a gas move in random directions, but a gas containing numerous molecules has a predictable distribution of molecular speeds, which is known as the Maxwell-Boltzmann distribution, f(v).
This distribution function f(v) is defined by saying that the expected number N (v1,v2) of particles with speeds between v1 and v2 is given by
3.2K
Velocity and Acceleration of a Wave00:51

Velocity and Acceleration of a Wave

5.1K
A wave propagates through a medium with a constant speed, known as a wave velocity. It is different from the speed of the particles of the medium, which is not constant. In addition, the velocity of the medium is perpendicular to the velocity of the wave. The variable speed of the particles of the medium implies that there must be acceleration associated with it. 
The velocity of the particles can be obtained by taking the partial derivative of the position equation with respect to time....
5.1K
Conservation of Linear Momentum for a System of Particles01:28

Conservation of Linear Momentum for a System of Particles

672
In the dynamic realm of billiards, a fascinating interplay of forces governs the motion of cue balls and stationary balls. When the cue ball collides with a stationary ball, linear momentum is exchanged. The cue ball imparts a fraction of its linear momentum to the stationary ball, causing the cue ball to decelerate while initiating the motion of the stationary ball.
The impulsive force at play during this interaction is of extremely short duration, rendering its impulse negligible. When...
672
Speed of a Transverse Wave01:13

Speed of a Transverse Wave

4.3K
The speed of a wave depends on the characteristics of the medium. For example, in the case of a guitar, the strings vibrate to produce the sound. The speed of the waves on the strings and the wavelength determine the frequency of the sound produced. The strings on a guitar have different thicknesses but may be made of similar material. They have different linear densities, and the linear density is defined as the mass per length.
One of the key properties of any wave is the wave speed. Light...
4.3K
Limits of the First Law of Thermodynamics01:22

Limits of the First Law of Thermodynamics

153
Spontaneous processes, like a rock falling to the ground or sodium reacting with chlorine, occur without external work and often involve a decrease in the system‘s energy. However, certain endothermic processes, such as the dissolution of sodium chloride in water, occur spontaneously even though they increase the energy of the system. This limitation suggests that the First Law of Thermodynamics, which states that the total energy of a system is constant in an isolated system, cannot...
153

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

HOTAIR regulates HK2 expression by binding endogenous miR-125 and miR-143 in oesophageal squamous cell carcinoma progression.

Oncotarget·2017
Same author

A catalytic spectrophotometric method for determination of nanomolar manganese in seawater using reverse flow injection analysis and a long path length liquid waveguide capillary cell.

Talanta·2017
Same author

Neural lineage tracing in the mammalian brain.

Current opinion in neurobiology·2017
Same author

Journey to the east: Diverse routes and variable flowering times for wheat and barley en route to prehistoric China.

PloS one·2017
Same author

Dual roles of yes-associated protein (YAP) in colorectal cancer.

Oncotarget·2017
Same author

Pulmonary vein isolation with real-time pulmonary vein potential recording using second-generation cryoballoon: Procedural and biophysical predictors of acute pulmonary vein reconnection.

Pacing and clinical electrophysiology : PACE·2017

Related Experiment Video

Updated: Apr 17, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
11:03

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

9.1K

Quantum speed limits in open systems: non-Markovian dynamics without rotating-wave approximation.

Zhe Sun1, Jing Liu2, Jian Ma2

  • 11] Department of Physics, Hangzhou Normal University, Hangzhou 310036, China [2] Department of Physics, National University of Singapore, Singapore 117542 [3] Singapore University of Technology and Design, 20 Dover Drive 138682, Singapore.

Scientific Reports
|February 14, 2015
PubMed
Summary
This summary is machine-generated.

We developed a quantum speed limit (QSL) for open systems applicable to any initial state and dynamics. Counter-rotating terms and non-Markovianity can enhance quantum evolution speed under specific conditions.

More Related Videos

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
09:23

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Published on: May 30, 2014

15.2K
Quantifying Cytoskeleton Dynamics Using Differential Dynamic Microscopy
06:37

Quantifying Cytoskeleton Dynamics Using Differential Dynamic Microscopy

Published on: June 15, 2022

4.3K

Related Experiment Videos

Last Updated: Apr 17, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
11:03

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

9.1K
Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
09:23

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Published on: May 30, 2014

15.2K
Quantifying Cytoskeleton Dynamics Using Differential Dynamic Microscopy
06:37

Quantifying Cytoskeleton Dynamics Using Differential Dynamic Microscopy

Published on: June 15, 2022

4.3K

Area of Science:

  • Quantum Physics
  • Quantum Information Theory
  • Open Quantum Systems

Background:

  • Quantum speed limits (QSLs) define fundamental bounds on the rate of quantum evolution.
  • Understanding QSLs in open quantum systems is crucial for quantum technologies.
  • Previous studies often relied on approximations like the rotating-wave approximation (RWA).

Purpose of the Study:

  • To derive a computable QSL time bound for open systems applicable to both pure and mixed initial states.
  • To investigate the influence of non-Markovian dynamics and counter-rotating terms on QSLs.
  • To explore the interplay between non-Markovianity and system-bath coupling strength.

Main Methods:

  • Derivation of an easily computable QSL time bound.
  • Numerical study using the hierarchy equation method.
  • Analysis of a qubit system interacting with a broadened cavity mode without approximations like RWA, Born, or Markovian assumptions.

Main Results:

  • The derived QSL is applicable to Markovian and non-Markovian dynamics, and pure or mixed initial states.
  • Counter-rotating terms were found to increase the quantum evolution speed compared to RWA.
  • Non-Markovianity can enhance evolution speed for small cavity mode broadening, but not for larger widths in non-RWA cases.

Conclusions:

  • The study provides a versatile QSL applicable to various open quantum system scenarios.
  • Counter-rotating terms and non-Markovian effects play significant roles in determining quantum evolution speeds.
  • The findings offer insights into optimizing quantum processes by controlling system-bath interactions and approximations.