On the Spectrum of the Many-Body Pauli Projector

Maxwell-Pauli和Maxwell-Schrodinger方程组行波解的存在性

Existence of Travelling Wave Solutions to the Maxwell-Pauli and Maxwell-Schrödinger Systems

研究了带电粒子与其自生电磁场相互作用的两种数学描述。第一个模型是忽略自旋与磁场相互作用的单体Maxwell-Schrödinger系统，第二个模型是包含自旋-场相互作用的单体Maxwell-Pauli系统。我们证明了这两个系统存在行波解，只要波的速度$|v|$不是太大。此外，我们观察到，这些解决方案的能量的行为类似于$\frac{mv^2}{2}$为小速度的粒子，这可以解释为说，粒子的有效质量是相同的，它的裸质量。

泡利概率谱携带纯态量子费希尔度量

The Pauli Probability Spectrum Carries the Pure-State Quantum Fisher Metric

该研究发现N个量子比特纯态的经典费希尔信息矩阵是量子费希尔信息矩阵的2倍，可通过固定的成对贝尔测量获取，还推导了混合态下贝尔采样不可见的缺失费希尔信息，揭示了相关统计、几何与读出的联系。

An effective solution to convex $1$-body $N$-representability

From a geometric point of view, Pauli's exclusion principle defines a hypersimplex. This convex polytope describes the compatibility of $1$-fermion and $N$-fermion density matrices, therefore it coincides with the convex hull of the pure $N$-representable $1$-fermion density matrices. Consequently, the description of ground state physics through $1$-fermion density matrices may not necessitate the intricate pure state generalized Pauli constraints. In this article, we study the generalization of the $1$-body $N$-representability problem to ensemble states with fixed spectrum $\mathbf{w}$, in o…

置换不变多体系统的约化密度矩阵

Reduced density matrix of permutational invariant many-body systems

考虑密度矩阵是L个格点置换群（L个格点置换不变量子系统的本征态）的不可约表示上的态的投影和，通过将L-n个格点看作环境，构造了n<L块的约化密度矩阵.在自然基下给出了RDM元素的显式解析表达式，并导出了相应的谱。结果适用于所有的量子多体系统与置换对称的平均场论是准确的。

Pauli stabilizer models of twisted quantum doubles

We construct a Pauli stabilizer model for every two-dimensional Abelian topological order that admits a gapped boundary. Our primary example is a Pauli stabilizer model on four-dimensional qudits that belongs to the double semion (DS) phase of matter. The DS stabilizer Hamiltonian is constructed by condensing an emergent boson in a $\mathbb{Z}_4$ toric code, where the condensation is implemented by making certain two-body measurements. We rigorously verify the topological order of the DS stabilizer model by identifying an explicit finite-depth quantum circuit (with ancillary qubits) that maps …

广义自旋螺旋态作为部分可积模型中的量子多体疤痕

Generalized Spin Helix States as Quantum Many-Body Scars in Partially Integrable Models

提出一种通用机制构建具有任意大局部希尔伯特空间维度的部分可积模型，通过在Temperley-Lieb代数生成元组成的可积自旋链中引入可积性破缺项，在非可积子空间中识别出广义自旋螺旋态作为精确量子多体疤痕，揭示了可积性与多体疤痕的联系。