纠的增长来自MPS集散器上的挤压
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
概括
研究人员分析地将从矩阵产物状态 (MPS) 投影到纠增长的利亚普诺夫光谱连接起来. 这严格地确定了预测的利亚普诺夫光谱作为一种新方法,用于描述多体系统中的量子混乱.
科学领域:
- 量子物理学的量子物理学
- 多体系统是多体系统.
- 混沌理论是一个混乱理论.
背景情况:
- 鉴于施罗丁格方程的线性,对量子混沌的描述具有挑战性.
- 将动态投射到变量多元体上提供了一种方法来恢复非线性,并研究经典混乱作为量子混乱的签名.
研究的目的:
- 从矩阵产物状态 (MPS) 多重投影和纠增长中分析演示莱普诺夫光谱之间的联系.
- 严格确定预测的利亚普诺夫光谱作为量子混乱的特征的物理意义.
主要方法:
- 量子动力学的投射到矩阵产物状态 (MPS) 体上.
- 分析证明了莱普诺夫光谱与纠增长之间的联系.
- 分析作为玻色子准粒子的扰动传播.
主要成果:
- 从MPS预测和纠增长中建立了莱普诺夫光谱之间的分析连接.
- 纠的增长被证明是通过在变化多重体上挤压局部分布来发生的.
- 不同的扰动通道的数量直接与利亚普诺夫光谱有关.
结论:
- 预测的利亚普诺夫光谱被严格地证明是具有物理意义的.
- 这种光谱提供了一种新的方法来描述多体系统中的量子混乱.
- 该方法提供了量子混乱和经典混乱之间的联系.
相关概念视频
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