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

First Law: Particles in Two-dimensional Equilibrium01:18

First Law: Particles in Two-dimensional Equilibrium

5.1K
Recall that a particle in equilibrium is one for which the external forces are balanced. Static equilibrium involves objects at rest, and dynamic equilibrium involves objects in motion without acceleration; but it is important to remember that these conditions are relative. For instance, an object may be at rest when viewed from one frame of reference, but that same object would appear to be in motion when viewed by someone moving at a constant velocity.
Newton's first law tells us about...
5.1K
First Law: Particles in One-dimensional Equilibrium01:10

First Law: Particles in One-dimensional Equilibrium

6.9K
Newton's first law of motion states that a body at rest remains at rest, or if in motion, remains in motion at constant velocity, unless acted on by a net external force. It also states that there must be a cause for any change in velocity (a change in either magnitude or direction) to occur. This cause is a net external force. For example, consider what happens to an object sliding along a rough horizontal surface. The object quickly grinds to a halt, due to the net force of friction. If...
6.9K
Reduced Mass Coordinates: Isolated Two-body Problem01:12

Reduced Mass Coordinates: Isolated Two-body Problem

1.3K
In classical mechanics, the two-body problem is one of the fundamental problems describing the motion of two interacting bodies under gravity or any other central force. When considering the motion of two bodies, one of the most important concepts is the reduced mass coordinates, a quantity that allows the two-body problem to be solved like a single-body problem. In these circumstances, it is assumed that a single body with reduced mass revolves around another body fixed in a position with an...
1.3K
Conservation of Mass in Fixed, Nondeforming Control Volume01:07

Conservation of Mass in Fixed, Nondeforming Control Volume

1.2K
The principle of conservation of mass is fundamental in fluid dynamics and is crucial for analyzing flow within fixed control volumes, such as pipes or ducts. This principle states that the total mass within a control volume remains constant unless altered by the inflow or outflow of mass through the control surfaces. This results in a vital relationship for steady, incompressible flow where the mass entering a system equals the mass leaving it.
In the case of a sewer pipe, which can be modeled...
1.2K
Conservation of Linear Momentum for a System of Particles01:28

Conservation of Linear Momentum for a System of Particles

222
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...
222
Angular Momentum: Single Particle01:10

Angular Momentum: Single Particle

6.1K
Angular momentum is directed perpendicular to the plane of the rotation, and its magnitude depends on the choice of the origin. The perpendicular vector joining the linear momentum vector of an object to the origin is called the “lever arm.” If the lever arm and linear momentum are collinear, then the magnitude of the angular momentum is zero. Therefore, in this case, the object rotates about the origin such that it lies on the rim of the circumference defined by the lever arm...
6.1K

You might also read

Related Articles

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

Sort by
Same author

Publisher's Note: Probing the Scale Invariance of the Inflationary Power Spectrum in Expanding Quasi-Two-Dimensional Dipolar Condensates [Phys. Rev. Lett. 118, 130404 (2017)].

Physical review letters·2017
Same author

Probing the Scale Invariance of the Inflationary Power Spectrum in Expanding Quasi-Two-Dimensional Dipolar Condensates.

Physical review letters·2017
Same author

"Photonic" Cat States from Strongly Interacting Matter Waves.

Physical review letters·2016
Same author

Revealing single-trap condensate fragmentation by measuring density-density correlations after time of flight.

Physical review letters·2014
Same author

Ultrafast quantum random access memory utilizing single Rydberg atoms in a Bose-Einstein condensate.

Physical review letters·2014
Same author

Increased cation conductance in human erythrocytes artificially aged by glycation.

The Journal of membrane biology·2010

Related Experiment Video

Updated: Jun 22, 2025

Picometer-Precision Atomic Position Tracking through Electron Microscopy
15:04

Picometer-Precision Atomic Position Tracking through Electron Microscopy

Published on: July 3, 2021

7.3K

Self-Consistent Many-Body Metrology.

Jae-Gyun Baak1, Uwe R Fischer1

  • 1Seoul National University, Department of Physics and Astronomy, Center for Theoretical Physics, Seoul 08826, Korea.

Physical Review Letters
|July 1, 2024
PubMed
Summary
This summary is machine-generated.

We explored how quantum many-body dynamics affect parameter estimation accuracy in trapped ultracold gases. Self-consistent methods, considering changing orbitals, improve accuracy compared to fixed-orbital approaches.

More Related Videos

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
12:14

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

Published on: August 12, 2013

21.7K
Quantitative and Qualitative Examination of Particle-particle Interactions Using Colloidal Probe Nanoscopy
13:15

Quantitative and Qualitative Examination of Particle-particle Interactions Using Colloidal Probe Nanoscopy

Published on: July 18, 2014

11.0K

Related Experiment Videos

Last Updated: Jun 22, 2025

Picometer-Precision Atomic Position Tracking through Electron Microscopy
15:04

Picometer-Precision Atomic Position Tracking through Electron Microscopy

Published on: July 3, 2021

7.3K
The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
12:14

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

Published on: August 12, 2013

21.7K
Quantitative and Qualitative Examination of Particle-particle Interactions Using Colloidal Probe Nanoscopy
13:15

Quantitative and Qualitative Examination of Particle-particle Interactions Using Colloidal Probe Nanoscopy

Published on: July 18, 2014

11.0K

Area of Science:

  • Quantum Metrology
  • Ultracold Gases
  • Many-Body Physics

Background:

  • Accurate parameter estimation is crucial in quantum metrology.
  • Interacting trapped ultracold gases offer a platform for quantum simulations.
  • Understanding many-body dynamics is key to optimizing quantum protocols.

Purpose of the Study:

  • To investigate the impact of self-consistent many-body dynamics on parameter estimation.
  • To compare metrological performance using dynamically changing versus fixed orbitals.
  • To analyze the influence of orbital evolution on classical Fisher information and maximum likelihood estimation.

Main Methods:

  • Theoretical treatment using a self-consistent many-body approach (multiconfigurational Hartree type).
  • Focus on a tilted double-well geometry for interacting trapped bosons.
  • Comparison of a self-consistent two-mode truncation with dynamically changing orbitals against a conventional fixed-orbital approach.

Main Results:

  • Metrological quantities like classical Fisher information are significantly affected by orbital changes.
  • The self-consistent approach with dynamically changing orbitals yields different estimation accuracies.
  • Quantum many-body dynamics fundamentally influence parameter estimation protocols.

Conclusions:

  • Self-consistency in quantum many-body dynamics is essential for accurate parameter estimation.
  • Dynamically adapting orbitals offer a more realistic and potentially more accurate metrological protocol.
  • The choice of theoretical approach (fixed vs. dynamic orbitals) critically impacts the predicted performance of quantum metrology.