Related Experiment Video
Updated: Jun 7, 2025
10:37
Spatial Separation of Molecular Conformers and Clusters
Published on: January 9, 2014
8.9K
The Fock-space landscape of many-body localisation
Sthitadhi Roy1, David E Logan2,3
1International Centre for Theoretical Sciences, Tata Institute of Fundamental Research, Bengaluru 560089, India.
Journal of Physics. Condensed Matter : an Institute of Physics Journal
|November 21, 2024
Summary
Many-body localization (MBL) in quantum systems is understood via ergodicity breaking on Fock space. This perspective reveals unique properties distinct from Anderson localization, offering new insights into MBL transitions.
Area of Science:
- Quantum Physics
- Condensed Matter Physics
- Statistical Mechanics
Background:
- Disordered and interacting quantum many-body systems are crucial for understanding complex phenomena.
- Many-body localization (MBL) represents a fundamental departure from conventional thermalization in such systems.
Purpose of the Study:
- To review recent advancements in understanding many-body localization (MBL) through the lens of ergodicity breaking on Fock space.
- To differentiate the Fock-space approach to MBL from conventional Anderson localization concepts.
Main Methods:
- Mapping many-body system dynamics to a fictitious single particle on a high-dimensional Fock-space graph.
- Detailed analysis of static and dynamic eigenstate correlations in ergodic and MBL phases.
- Development of a scaling theory for the MBL transition based on Fock-space quantities.
Main Results:
- The Fock-space approach provides a distinct framework for MBL, differing from Anderson localization.
- Eigenstate correlations reveal key characteristics of ergodic, MBL phases, and the MBL transition.
- Fock-space quantities are shown to be connectable to measurable real-space observables.
Conclusions:
- The Fock-space perspective offers valuable insights into the nature of MBL and its transitions.
- This approach facilitates the development of new theoretical frameworks and connects to experimental observables.
- Open questions in MBL physics are likely to be illuminated by further exploration of the Fock-space framework.
More Related Videos
08:44Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene
Published on: August 22, 2017
7.7K
08:26Automated Two-dimensional Spatiotemporal Analysis of Mobile Single-molecule FRET Probes
Published on: November 23, 2021
2.5K
Related Concept Videos
01:18First Law: Particles in Two-dimensional Equilibrium
5.0K
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...
Newton's first law tells us about...
5.0K
01:12Fermi Level Dynamics
225
The vacuum level denotes the energy threshold required for an electron to escape from a material surface. It is usually positioned above the conduction band of a semiconductor and acts as a benchmark for comparing electron energies within various materials.
Electron affinity in semiconductors refers to the energy gap between the minimum of its conduction band and the vacuum level and it is a critical parameter in determining how easily a semiconductor can accept additional electrons.
The work...
Electron affinity in semiconductors refers to the energy gap between the minimum of its conduction band and the vacuum level and it is a critical parameter in determining how easily a semiconductor can accept additional electrons.
The work...
225
01:10First Law: Particles in One-dimensional Equilibrium
6.8K
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...
6.8K
02:44Atomic Orbitals
33.2K
An atomic orbital represents the three-dimensional regions in an atom where an electron has the highest probability to reside. The radial distribution function indicates the total probability of finding an electron within the thin shell at a distance r from the nucleus. The atomic orbitals have distinct shapes which are determined by l, the angular momentum quantum number. The orbitals are often drawn with a boundary surface, enclosing densest regions of the cloud.
33.2K
03:06The Pauli Exclusion Principle
35.2K
The arrangement of electrons in the orbitals of an atom is called its electron configuration. We describe an electron configuration with a symbol that contains three pieces of information:
35.2K
01:12Reduced Mass Coordinates: Isolated Two-body Problem
1.2K
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...
1.2K