提升简并对绝热量子计算的噪声增强性能

脉冲驱动的近共振量子绝热动力学：准简并度的提升

Pulse-driven near-resonant quantum adiabatic dynamics: lifting of quasi-degeneracy

我们研究了由脉冲驱动的两能级系统的量子动力学，该脉冲在小振幅下开始近共振，产生非绝热演化，并在较大振幅下诱导绝热演化。这个问题进行了分析，在升降机的退化上升幅度。对于线性上升和指数上升的情况，该方程都有精确解。在幂律上升的情况下，给出了近似解。这使我们能够确定近似公式的线形共振激发的各种形式的脉冲，如截断的触发脉冲。我们还分析和解释的各种叠加状态，可以通过半斯塔克啁啾快速绝热通道（半SCRAP）过程。

实Hamilton算子退化性的最优拓扑检验

Optimal Topological Test for Degeneracies of Real Hamiltonians

我们考虑了参数空间中实哈密顿量本征态绕圈的绝热输运。证明了映射到本征基空间中的非平凡环的环必须包围简并。Jahn-Teller理论的例子来说明测试。我们进一步表明，所提出的测试是最佳的。

谱结构在XXZ模型绝热基态制备中的作用

Role of spectral structure in adiabatic ground-state preparation of the XXZ model

研究XXZ模型中谱结构对绝热基态制备的影响，通过三种策略比较发现，谱退化是限制因素，简单优化初始哈密顿量可有效抑制临界交叉，而反迪布里克项需在消除退化后才有效。

Controlled Quantized Adiabatic Transport in a superlattice Wannier-Stark ladder

The Born-Fock theorem is one of the most fundamental theorems of quantum mechanics and forms the basis for reliable and efficient navigation in the Hilbert space of a quantum system with a time-dependent Hamiltonian by adiabatic evolution. In the absence of level crossings, i.e. without degeneracies, and under adiabatic time evolution all eigenstates of the Hamiltonian keep their energetic order, labelled by a conserved integer quantum number. Thus controlling the eigenstates of the Hamiltonian and their energetic order in asymptotic limits allows to engineer a perfect adiabatic transfer betwe…

Vibronic Ground-state Degeneracies and the Berry Phase: A Continuous Symmetry Perspective

We develop a geometric construction to prove the inevitability of the electronic ground-state (adiabatic) Berry phase for a class of Jahn-Teller models with maximal continuous symmetries and N > 2 intersecting electronic states. Given that vibronic ground-state degeneracy in JT models may be seen as a consequence of the electronic Berry phase, and that any JT problem may be obtained from the subset we investigate in this letter by symmetry-breaking, our arguments reveal the fundamental origin of the vibronic ground-state degeneracy of JT models.

两体Lieb-Liniger模型的奇异量子完整性和非厄米简并性

Exotic quantum holonomy and non-Hermitian degeneracies in two-body Lieb-Liniger model

在一维玻色系统中研究了奇异量子完整性和例外点的相互作用。厄米绝热循环导致本征能发生非平凡变化的本征能非完整性可以解释为本征能黎曼面结构的一种表现，其中的分支点被确定为复化参数空间中的例外点，即简并点.它也表明，例外点的发散点的非阿贝尔规范连接的规范理论制定的本征空间非完整性。这有助于我们计算规范连接的反路径有序指数，以获得规范协变量。