Playing Quantum Physics Jeopardy with zero-energy eigenstates

局域自旋哈密顿量中的有限温度量子混沌

Quantum chaos at finite temperature in local spin Hamiltonians

本研究证明，在局域自旋哈密顿量中，有限温度本征态的统计性质可由受局域电荷约束的随机态精确描述，并通过单参数归一化能量密度，在最大混沌区域实现纠缠熵统计的精确匹配，从而在有限温度下定义了最大混沌概念。

带标量U(1)荷的量子混沌哈密顿量的纠缠模式

Entanglement patterns of quantum chaotic Hamiltonians with a scalar U(1) charge

该研究针对多体量子混沌系统的精细特征描述难题，提出带物理约束的随机态方法，在带U(1)荷的自旋模型中解析与数值验证了能谱中部本征态的纠缠修正及涨落，明确了空间局域性的关键作用。

q-Measurement Scheme set in Quantum Photonic Frameworks: Linking Abstract Space and Lab Spaces

Beginning in abstract space and dislodging the representational form paves a way to formulate a version of a quantum physical measurement scheme. With materiality playing sustainment roles with respect to q-states, these latter control system response towards external probes. Sustainment concerns all possible q-states. The particle character usually assigned to eigenstates and eigenvalues dies out, while energy gaps relate to possible energy quanta exchanges; the occupancy concept no longer required. Abstract and laboratory spaces are incommensurate, linking them leads to a possible physical q…

Cryptogauge symmetry and cryptoghosts for crypto-Hermitian Hamiltonians

We discuss the Hamiltonian H = p^2/2 - (ix)^{2n+1} and the mixed Hamiltonian H = (p^2 + x^2)/2 - g(ix)^{2n+1}, which are crypto-Hermitian in a sense that, in spite of apparent complexity of the potential, a quantum spectral problem can be formulated such that the spectrum is real. We note first that the corresponding classical Hamiltonian system can be treated as a gauge system, with imaginary part of the Hamiltonian playing the role of the first class constraint. We observe then that, on the basis of this classical problem, several different nontrivial quantum problems can be formulated. We f…