论文标题
费米量子环的yrast频谱中BCS-BEC跨界的签名
Signatures of the BCS-BEC crossover in the yrast spectra of Fermi quantum rings
论文作者
论文摘要
我们研究了在量子环配置中旋转1/2费米的非零总动量(yrast状态)的最低能状态的性质,并在低密度下具有有吸引力的现场相互作用。在一维(1D)情况下,我们使用贝尔·安萨兹(Bethe Ansatz)求解了哈伯德模型,而对于跨界为2D制度,我们使用全面配置交互量子量子蒙特卡洛法(FCIQMC)来获得Spinancated Fermi System的Yrast状态。我们展示了yrast激发光谱如何从1D到2D状态以及配对如何影响yrast光谱。我们还发现某些通常与深色孤子相关的某些yrast状态的碎片缩合的特征。
We study properties of the lowest energy states at non-zero total momentum (yrast states) of the Hubbard model for spin-1/2 fermions in the quantum ring configuration with attractive on-site interaction at low density. In the one-dimensional (1D) case we solve the Hubbard model using the Bethe ansatz, while for the crossover into the 2D regime we use the Full-Configuration-Interaction Quantum Monte-Carlo method (FCIQMC) to obtain the yrast states for the spin-balanced Fermi system. We show how the yrast excitation spectrum changes from the 1D to the 2D regime and how pairing affects the yrast spectra. We also find signatures of fragmented condensation for certain yrast states usually associated with dark solitons.