Hydrogenic entanglement

Spin-orbit entanglement in time evolution of radial wave packets in hydrogenic systems

Time evolution of radial wave packets built from the eigenstates of Dirac equation for a hydrogenic systems is considered. Radial wave packets are constructed from the states of different $n$ quantum number and the same lowest angular momentum. In general they exhibit a kind of breathing motion with dispersion and (partial) revivals. Calculations show that for some particular preparations of the wave packet one can observe interesting effects in spin motion, coming from inherent entanglement of spin and orbital degrees of freedom. These effects manifest themselves through some oscillations in …

从多体局域化相的本征态关联看对数纠缠光锥

Logarithmic entanglement lightcone from eigenstate correlations in the many-body localised phase

本文通过本征态关联框架研究多体局域化系统的时间演化算符纠缠，揭示了纠缠传播的对数光锥源于本征态中的能量与长度尺度层级，并据此发展出不依赖 $\ell$-bits 的微观理论，阐明了本征态关联与涌现纠缠结构的根本联系。

Hilbert-space correlations beyond multifractality and bipartite entanglement in many-body localised systems

Eigenstates of many-body localised (MBL) systems are characterised by area-law bipartite entanglement along with multifractal statistics of their amplitudes on Hilbert space. At the same time, sparse random pure states with fractal statistics are not compatible with area-law and necessarily exhibit volume-law entanglement. This raises the question that what correlation functions of Hilbert-space amplitudes MBL eigenstates must possess for their area law entanglement to be compatible with their multifractality. In this work, we identify and compute such appropriate Hilbert-space correlations wh…

Spatial Entanglement of a Free Bosonic Field

In this paper we discuss the entanglement properties of a thermal non-relativistic free bosonic field. We demonstrate how to formally construct spatial modes in order to use a continuous variable separability criterion and show that the construction of the modes plays a significant role in the way the entanglement manifests itself. For instance the presence of entanglement depends on the shape of the modes and their separation. The temperature of the gas is another crucial factor and for one choice of modes we show that entanglement can be found at arbitrarily high temperatures as long as we c…

强无序量子多体系统中的纠缠动力学与本征态关联

Entanglement dynamics and eigenstate correlations in strongly disordered quantum many-body systems

本文提出一种微观理论，通过强无序量子多体局域系统中四个本征态间的特殊谱关联及其空间结构，揭示了纠缠随时间对数增长的物理机制。

Localisation and Nonlocality in Compound Energy-Momentum Eigenstates

A thought experiment considering conservation of energy and momentum for a pair of free bodies together with their internal energy is used to show the existence of states that have localised position while being eigenstates of energy and momentum. These states are applicable to all varieties of physical bodies, including planets and stars in free motion in the universe. The states are compound entanglements of multiple free bodies in which the momenta of the bodies are anticorrelated so that they always sum to zero, while their total kinetic energy is anticorrelated with their internal energie…