Related Experiment Video
Updated: Jun 6, 2025
05:30
Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
Published on: September 8, 2023
487
Many-body localization in the age of classical computing
Piotr Sierant1, Maciej Lewenstein1,2, Antonello Scardicchio3
1ICFO-Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, 08860 Castelldefels (Barcelona), Spain.
Reports on Progress in Physics. Physical Society (Great Britain)
|November 26, 2024
Summary
The study investigates the conditions for a many-body localization (MBL) phase, where thermalization fails even at infinite system sizes. Numerical findings show persistent drifts towards ergodicity, complicating the understanding of the MBL phase boundary.
Area of Science:
- Quantum physics
- Statistical mechanics
- Condensed matter physics
Background:
- The eigenstate thermalization hypothesis (ETH) explains thermalization in isolated quantum systems via ergodicity and chaos.
- Many-body localization (MBL) is a regime where thermalization fails in disordered systems, but the conditions for a true MBL phase remain unclear.
Purpose of the Study:
- To review recent numerical investigations on the MBL phase.
- To clarify the critical open questions regarding the dynamics of disordered many-body systems.
- To provide a unified understanding of various tools and indicators used to study the breakdown of ergodicity.
Main Methods:
- Analysis of spectral and wave function measures.
- Examination of matrix elements of observables.
- Probing unitary quantum dynamics, transport, and quantum information measures.
- Review of numerical methods for studying ETH and MBL.
Main Results:
- Persistent finite-size drifts towards ergodicity are observed in disordered systems, even at strong disorder.
- These drifts indicate continuous movement towards ergodicity and non-vanishing transport.
- Trends exclude naive single-parameter scaling, necessitating refined scaling procedures.
Conclusions:
- The MBL phase boundary remains elusive due to persistent drifts towards ergodicity.
- Understanding microscopic processes at the ETH-MBL crossover is challenging.
- Further exploration is needed to fully understand thermalization and its failure in disordered many-body systems.
Related Concept Videos
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
01:29Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving
41
Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
41
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
01:10First 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
01:13Stability of Equilibrium Configuration: Problem Solving
584
The stability of equilibrium configurations is an important concept in physics, engineering, and other related fields. In simple terms, it refers to the tendency of an object or system to return to its equilibrium position after being disturbed. The stability of an equilibrium configuration can be analyzed by considering the potential energy function of the system and examining its behavior near the equilibrium point.
Problem-solving in the context of the stability of equilibrium configuration...
Problem-solving in the context of the stability of equilibrium configuration...
584
01:17Ampere-Maxwell's Law: Problem-Solving
545
A parallel-plate capacitor with capacitance C, whose plates have area A and separation distance d, is connected to a resistor R and a battery of voltage V. The current starts to flow at t = 0. What is the displacement current between the capacitor plates at time t? From the properties of the capacitor, what is the corresponding real current?
To solve the problem, we can use the equations from the analysis of an RC circuit and Maxwell's version of Ampère's law.
For the first part of...
To solve the problem, we can use the equations from the analysis of an RC circuit and Maxwell's version of Ampère's law.
For the first part of...
545