量子场理论在一个空间维度中用于奇拉时钟过渡
Seth Whitsitt1,2, Rhine Samajdar1, Subir Sachdev1,3
1Department of Physics, Harvard University, Cambridge, MA 02138, USA.
概括
我们探讨了N-state奇拉时钟模型中的量子相位过渡,与超冷原子实验相关. 我们的发现显示了具有独特关键指数的直接过渡,而不是相对论量子场理论所描述的.
科学领域:
- 凝聚物质物理学 凝聚物质物理学
- 量子相位过渡 量子相位过渡
- 超冷的原子气体 超冷的原子气体
背景情况:
- 这种N-状态的奇拉时钟模型表现出复杂的量子相位过渡.
- 这种模型与对超冷原子有序的赖德伯格状态的实验具有共同的普遍性.
- 了解这些转变是量子模拟和新型量子状态的关键.
研究的目的:
- 为了研究1D N-state奇拉时钟模型中的量子相位过渡.
- 分析过渡的普遍性类和关键行为.
- 在超冷原子系统中将理论模型与实验观测联系起来.
主要方法:
- 格子二元化转换将时钟模型映射到波斯气体模型.
- 在2-d和4-N的扩展中重新规范化组分析.
- 数字密度矩阵重规范化组 (DMRG) 研究.
主要成果:
- 对于N=3,确定了直接相位过渡,从Z_N对称性被打破的间隙相到恢复Z_N对称性的间隙相.
- 过渡表现出一个动态的临界指数z ≠1,排除了相对论量子场理论的描述.
- 在两个循环顺序中发现了一个重规范化组固点,支持直接相位过渡场景.
- 数值DMRG研究提供了直接过渡的证据,并估计了关键指数z和n.
结论:
- 在d=1中,N-状态的奇拉时钟模型为研究非相对论量子相位过渡提供了一个平台.
- 对波斯气体的二元性为理论分析提供了强大的工具.
- 使用超冷原子的实验实现可以探测这些独特的量子现象.
相关概念视频
The Quantum-Mechanical Model of an Atom
42.2K
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.
42.2K
Space-Time Curvature and the General Theory of Relativity
2.7K
In 1905, Albert Einstein published his special theory of relativity. According to this theory, no matter in the universe can attain a speed greater than the speed of light in a vacuum, which thus serves as the speed limit of the universe.
This has been verified in many experiments. However, space and time are no longer absolute. Two observers moving relative to one another do not agree on the length of objects or the passage of time. The mechanics of objects based on Newton's laws of...
This has been verified in many experiments. However, space and time are no longer absolute. Two observers moving relative to one another do not agree on the length of objects or the passage of time. The mechanics of objects based on Newton's laws of...
2.7K
The de Broglie Wavelength
25.8K
In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...
25.8K
Crystal Field Theory - Octahedral Complexes
26.3K
Crystal Field Theory
To explain the observed behavior of transition metal complexes (such as colors), a model involving electrostatic interactions between the electrons from the ligands and the electrons in the unhybridized d orbitals of the central metal atom has been developed. This electrostatic model is crystal field theory (CFT). It helps to understand, interpret, and predict the colors, magnetic behavior, and some structures of coordination compounds of transition metals.
CFT focuses on...
To explain the observed behavior of transition metal complexes (such as colors), a model involving electrostatic interactions between the electrons from the ligands and the electrons in the unhybridized d orbitals of the central metal atom has been developed. This electrostatic model is crystal field theory (CFT). It helps to understand, interpret, and predict the colors, magnetic behavior, and some structures of coordination compounds of transition metals.
CFT focuses on...
26.3K
¹H NMR of Conformationally Flexible Molecules: Temporal Resolution
829
At room temperature, the chair conformer of cyclohexane undergoes rapid ring flipping between two equivalent chair conformers at a rate of approximately 105 times per second. These two chair conformers are in equilibrium. The rapid ring flipping results in the interconversion of the axial proton to an equatorial proton and an equatorial to the axial proton. Such interconversions are too rapid and cannot be detected on the NMR timescale. Hence, the NMR spectrometer cannot distinguish between the...
829
The Pauli Exclusion Principle
36.4K
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:
36.4K


