Related Experiment Video
Updated: May 27, 2025
09:29
Obtention of Giant Unilamellar Hybrid Vesicles by Electroformation and Measurement of their Mechanical Properties by Micropipette Aspiration
Published on: January 19, 2020
8.3K
Entanglement growth from squeezing on the MPS manifold
Sebastian Leontica1, Andrew G Green2
1London Centre for Nanotechnology, University College London, London, UK. sebastian.leontica.22@ucl.ac.uk.
Nature Communications
|February 20, 2025
Summary
Researchers analytically connect Lyapunov spectrum from matrix product state (MPS) projection to entanglement growth. This rigorously establishes the projected Lyapunov spectrum as a new method for characterizing quantum chaos in many-body systems.
Area of Science:
- Quantum physics
- Many-body systems
- Chaos theory
Background:
- Characterizing quantum chaos is challenging due to the Schrödinger equation's linearity.
- Projecting dynamics onto variational manifolds offers a way to recover non-linearity and study classical chaos as a signature of quantum chaos.
Purpose of the Study:
- To analytically demonstrate the connection between the Lyapunov spectrum from matrix product state (MPS) manifold projection and entanglement growth.
- To rigorously establish the physical significance of the projected Lyapunov spectrum as a characterization of quantum chaos.
Main Methods:
- Projection of quantum dynamics onto the matrix product state (MPS) manifold.
- Analytical demonstration of the link between Lyapunov spectrum and entanglement growth.
- Analysis of perturbation propagation as bosonic quasi-particles.
Main Results:
- An analytical connection is established between the Lyapunov spectrum from MPS projection and entanglement growth.
- Entanglement growth is shown to occur via squeezing a localized distribution on the variational manifold.
- The number of distinct perturbation channels directly relates to the Lyapunov spectrum.
Conclusions:
- The projected Lyapunov spectrum is rigorously shown to be physically significant.
- This spectrum offers a novel method for characterizing quantum chaos in many-body systems.
- The method provides a link between quantum chaos and classical chaos.
Related Concept Videos
01:21Path Between Thermodynamics States
3.0K
Consider the two thermodynamic processes involving an ideal gas that are represented by paths AC and ABC in Figure 1:
3.0K
01:17Steady, Laminar Flow Between Parallel Plates
120
Understanding steady, laminar flow between parallel plates is essential for analyzing and designing flow in narrow rectangular channels, commonly found in various water conveyance and drainage systems. The Navier-Stokes equations govern fluid motion and are generally challenging to solve due to their nonlinearity. However, simplifications are possible in certain cases, like the steady laminar flow between parallel plates. For this scenario, we assume steady, incompressible, laminar flow.
120
01:15Thin-Walled Hollow Shafts
161
In analyzing a thin-walled hollow shaft subjected to torsional loading, a segment with width dx is isolated for examination. Despite its equilibrium state, this segment faces torsional shearing forces at its ends. These forces are quantitatively described by the product of the longitudinal shearing stress on the segment's minor surface and the area of this surface, leading to the concept of shear flow. This shear flow is consistent throughout the structure, indicating a uniform distribution...
161
01:18Stress Concentrations in Circular Shafts
160
Consider the elastic torsion formula, which applies to a circular shaft with a consistent cross-section. This formula assumes that the shaft's ends are loaded with rigid plates firmly attached. However, in many cases, torques are applied to the shaft through mechanisms like flange couplings or gears, which are connected by keys inserted into keyways. This application method modifies the stress distribution near the point of torque application, causing it to deviate from the distributions...
160
01:13¹H NMR: Complex Splitting
1.2K
A proton M that is coupled to a proton X results in doublet signals for M. However, NMR-active nuclei can be simultaneously coupled to more than one nonequivalent nucleus. When M is coupled to a second proton A, such as in styrene oxide, each peak in the doublet is split into another doublet.
Splitting diagrams or splitting tree diagrams are routinely used to depict such complex couplings. While drawing splitting diagrams, the splitting with the larger coupling constant is usually applied...
Splitting diagrams or splitting tree diagrams are routinely used to depict such complex couplings. While drawing splitting diagrams, the splitting with the larger coupling constant is usually applied...
1.2K
01:09Bending of Material: Problem Solving
172
In this lesson, determine the ratio of the maximum bending moments applied to two metal pipes, given that both pipes can withstand a maximum stress of 100 MPa. Both pipes have an outer radius of 1.8 cm. Pipe A has an inner radius of 1.5 cm, and Pipe B has an inner radius of 1 cm. The ratio of the maximum bending moment applied to two metallic pipes, each with a different inner and outer radius, is determined by considering their dimensions. The inner radius of the first pipe is 1.5 cm, and for...
172