格点哈密顿系统中量子相变的严格存在性与位置确定
Rigorous existence and location of quantum phase transitions in lattice Hamiltonian systems
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中文总结 AI 辅助
该研究推广了已有论证，证明一般单参数格点哈密顿系统中量子相变的存在性并确定其位置，还涵盖二阶量子相变，表明格点系统中量子相变可解释为状态空间凝聚。
中文摘要 AI 辅助
我们扩展了一类可解释为状态空间凝聚的量子相变（QPTs）的分析，该类相变最初由[M. Ostilli和C. Presilla，《J. Phys. A》54，055005（2021）]提出；我们将[M. Ostilli和C. Presilla，《Phys. Rev. Lett.》127，040601（2021）]的论证推广，以证明一般单参数格点哈密顿系统中QPTs的存在性并确定其位置（通过简单界）。与原始表述不同，该扩展还涵盖二阶QPTs，我们提供了横场伊辛模型作为明确示例。我们的分析表明，在物理情境通常满足的条件下，格点系统中发生的任何QPT均可解释为状态空间中的凝聚。
英文摘要
We extend the analysis of the class of quantum phase transitions (QPTs) that can be interpreted as condensations in state space, first introduced in [M. Ostilli and C. Presilla, J. Phys. A 54, 055005 (2021)], by generalizing the arguments of [M. Ostilli and C. Presilla, Phys. Rev. Lett. 127, 040601 (2021)] to prove the existence and determine the location (via simple bounds) of QPTs in general one-parameter lattice Hamiltonians. Unlike our original formulation, this extension also encompasses second-order QPTs, for which we provide the explicit example of the transverse-field Ising model. Our analysis suggests that, under conditions typically satisfied in physical contexts, any QPT taking place in lattice systems can be interpreted as a condensation in state space.
