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

Induced Electric Dipoles01:28

Induced Electric Dipoles

4.2K
A permanent electric dipole orients itself along an external electric field. This rotation can be quantified by defining the potential energy because the external torque does work in rotating it. Then, the potential energy is minimum at the parallel configuration and maximum at the antiparallel configuration. While the former is a stable equilibrium, the latter is an unstable equilibrium.
Since the absolute value of potential energy holds no physical meaning, its zero value can be chosen as per...
4.2K
Electric Dipoles and Dipole Moment01:30

Electric Dipoles and Dipole Moment

5.1K
Consider two charges of equal magnitude but opposite signs. If they cannot be separated by an external electric field, the system is called a permanent dipole. For example, the water molecule is a dipole, making it a good solvent.
Theoretically, studying electric dipoles leads to understanding why the resultant electric forces around us are weak. Since electric forces are strong, remnant net charges are rare. Hence, the interaction between dipoles helps us understand electrical interactions in...
5.1K
Central-Force Motion01:17

Central-Force Motion

252
The central force system operates by exerting a force on an object directed towards a fixed point, typically the origin, with the force magnitude determined by the object's distance from this fixed point. In the context of an object with mass 'm,' polar coordinates are employed to express the equation of motion. Notably, the azimuthal component of force is nonexistent in this system. A comprehensive rewrite and integration of this equation reveal that the product of the squared...
252
Potential Due to a Polarized Object01:29

Potential Due to a Polarized Object

390
A neutral atom consists of a positively charged nucleus surrounded by a negatively charged electron cloud. When placed in an external electric field, the external electric force pulls the electrons and nucleus apart, opposite to the intrinsic attraction between the nucleus and the electrons. The opposing forces balance each other with a slight shift between the center of masses of the nucleus and the electron cloud, resulting in a polarized atom. On the other hand, a few molecules, like water,...
390
Energy Associated With a Charge Distribution01:21

Energy Associated With a Charge Distribution

1.5K
The work done to bring a charge through a distance r is given by the potential difference between the initial and the final position. To assemble a collection of point charges, the total work done can be expressed in terms of the product of each pair of charges divided by their separation distance, defined with respect to a suitable origin. Solving this expression gives the energy stored in a point charge distribution.
1.5K
Linear Approximation in Time Domain01:21

Linear Approximation in Time Domain

81
Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
81

You might also read

Related Articles

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

Sort by
Same author

Localization transitions in quadratic systems without quantum chaos.

Physical review. E·2025
Same author

Single-quasiparticle eigenstate thermalization.

Physical review. E·2024
Same author

Cavity-mediated thermal control of metal-to-insulator transition in 1T-TaS<sub>2</sub>.

Nature·2023
Same author

Generalized Thermalization in Quantum-Chaotic Quadratic Hamiltonians.

Physical review letters·2023
Same author

Phenomenology of Spectral Functions in Disordered Spin Chains at Infinite Temperature.

Physical review letters·2021
Same author

Eigenstate Entanglement Entropy in Random Quadratic Hamiltonians.

Physical review letters·2020

Related Experiment Video

Updated: Jun 23, 2025

Spatial Separation of Molecular Conformers and Clusters
10:37

Spatial Separation of Molecular Conformers and Clusters

Published on: January 9, 2014

8.9K

Local Integrals of Motion in Dipole-Conserving Models with Hilbert Space Fragmentation.

Patrycja Łydżba1, Peter Prelovšek2, Marcin Mierzejewski1

  • 1Institute of Theoretical Physics, Wroclaw University of Science and Technology, 50-370 Wrocław, Poland.

Physical Review Letters
|June 15, 2024
PubMed
Summary
This summary is machine-generated.

We discovered local integrals of motion (LIOMs) in a fragmented quantum system, revealing frozen density modes. These modes exhibit subdiffusive behavior with longer-range interactions, offering new insights into quantum ergodicity breaking.

More Related Videos

Study of Protein Dynamics via Neutron Spin Echo Spectroscopy
08:03

Study of Protein Dynamics via Neutron Spin Echo Spectroscopy

Published on: April 13, 2022

2.1K
Coulomb Explosion Imaging as a Tool to Distinguish Between Stereoisomers
08:51

Coulomb Explosion Imaging as a Tool to Distinguish Between Stereoisomers

Published on: August 18, 2017

9.7K

Related Experiment Videos

Last Updated: Jun 23, 2025

Spatial Separation of Molecular Conformers and Clusters
10:37

Spatial Separation of Molecular Conformers and Clusters

Published on: January 9, 2014

8.9K
Study of Protein Dynamics via Neutron Spin Echo Spectroscopy
08:03

Study of Protein Dynamics via Neutron Spin Echo Spectroscopy

Published on: April 13, 2022

2.1K
Coulomb Explosion Imaging as a Tool to Distinguish Between Stereoisomers
08:51

Coulomb Explosion Imaging as a Tool to Distinguish Between Stereoisomers

Published on: August 18, 2017

9.7K

Area of Science:

  • Quantum physics
  • Condensed matter theory
  • Statistical mechanics

Background:

  • Hilbert space fragmentation breaks ergodicity, creating disconnected dynamical sectors.
  • These sectors are often characterized by nonlocal integrals of motion.
  • Understanding the nature of these integrals is key to characterizing fragmented systems.

Purpose of the Study:

  • To investigate the existence and nature of local integrals of motion (LIOMs) in a strongly fragmented system.
  • To analyze the behavior of these LIOMs under modified hopping interactions.
  • To establish a connection between fragmented systems and tilted (Stark) chains.

Main Methods:

  • Studied the paradigmatic nearest-neighbor pair hopping model.
  • Identified LIOMs corresponding to long-wavelength frozen density modes.
  • Introduced a numerical algorithm reducing LIOM finding to a data compression problem.

Main Results:

  • Demonstrated the presence of LIOMs in the studied model.
  • Showed that these modes become subdiffusive with longer-range pair hoppings.
  • Established that tilted chains can host either a Hamiltonian or a dipole moment as an LIOM, unlike dipole-conserving models.

Conclusions:

  • Local integrals of motion exist in strongly fragmented systems and can be identified numerically.
  • The dynamics of these modes are sensitive to interaction range, leading to subdiffusion.
  • A unified perspective on fragmentation and tilted chains is provided through the identification of LIOMs.