相关实验视频
Updated: Jul 21, 2025

06:42
Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
9.0K
使用矩阵产品状态提取量子多体痕 Eigenstates
Shun-Yao Zhang1, Dong Yuan1, Thomas Iadecola2,3
1Center for Quantum Information, IIIS, Tsinghua University, Beijing 100084, People's Republic of China.
Physical review letters
|July 28, 2023
概括
我们开发了一种新的矩阵产物状态 (MPS) 算法,以识别量子多体痕自态. 这种方法有效地提取大型系统中的这些特殊状态,帮助量子物理研究.
科学领域:
- 量子多体物理学 量子多体物理学
- 凝聚物质理论 凝聚物质理论
- 量子信息科学 量子信息科学
背景情况:
- 量子多体痕系统表现出不同于热状态的非热激发固有状态.
- 鉴定这些有痕的固态在计算上具有挑战性,因为它们在热态中很罕见.
- 精确的对角化方法仅限于小系统大小,阻碍了对大型量子系统的研究.
研究的目的:
- 开发一种高效的计算方法来提取量子多体痕特态.
- 通过使用这些固态,研究 Néel 状态在热力学极限中的复苏稳定性.
- 系统地获得对有痕迹的固态的矩阵产品状态 (MPS) 表示.
主要方法:
- 开发了一种新的矩阵-产品状态 (MPS) 算法,称为DMRG-S.
- 应用DMRG-S研究Rydberg封锁链的80个站点.
- 有限尺寸缩放分析,将结果推断到热力学极限.
主要成果:
- 在大型的Rydberg封锁链中成功提取了痕特征.
- 进行了有限大小的缩放,以分析Neel状态复苏的稳定性.
- 在动力约束模型中发现了具有精确MPS表示的新的痕特征.
结论:
- DMRG-S算法提供了一个强大的工具,用于研究超出精确的对角化限制的量子多体痕.
- 该研究提供了关于热力学极限中的量子多体痕稳定性的见解.
- 这项工作建立了一个新的方法来探索使用MPS表示的量子多体现象.
相关概念视频
The Pauli Exclusion Principle
39.2K
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:
39.2K
Molecular Orbital Theory I
32.3K
Overview of Molecular Orbital Theory
32.3K
The Quantum-Mechanical Model of an Atom
42.5K
Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra.
42.5K
Atomic Nuclei: Nuclear Spin State Overview
1.0K
NMR-active nuclei have energy levels called 'spin states' that are associated with the orientations of their nuclear magnetic moments. In the absence of a magnetic field, the nuclear magnetic moments are randomly oriented, and the spin states are degenerate. When an external magnetic field is applied, the spin states have only 2 + 1 orientations available to them. A proton with = ½ has two available orientations. Similarly, for a quadrupolar nucleus with a nuclear spin value of...
1.0K
Extraction: Partition and Distribution Coefficients
2.5K
The distribution law or Nernst's distribution law is the law that governs the distribution of a solute between two immiscible solvents. This law, also known as the partition law, states that if a solute is added to the mixture of two immiscible solvents at a constant temperature, the solute is distributed between the two solvents in such a way that the ratio of solute concentrations in the solvents remains constant at equilibrium.
For extracting a solute from an aqueous phase into an...
For extracting a solute from an aqueous phase into an...
2.5K
Interpreting ¹H NMR Signal Splitting: The (n + 1) Rule
1.4K
In the AX proton spin system, proton A can sense the two spin states of a coupled proton X, resulting in a doublet NMR signal with two peaks of equal (1:1) intensity. When proton A is coupled to two equivalent protons (AX2 spin system), the spin states of each X can be aligned with or against the external field, creating three possible scenarios. This results in a 1:2:1 triplet signal, where the central peak corresponds to the chemical shift of A and is twice as large or intense as the...
1.4K

