密度诱导隧道效应的观察

矢量非线性薛定谔方程中的成对双折射局域波

Pair-Tunneling Induced Localized Waves in a Vector Nonlinear Schrödinger Equation

研究了耦合双模非线性薛定谔方程的局域波，方程中含有一个对隧穿项，表示强相互作用粒子可以作为一个分裂的对在模间隧穿.利用达布变换，我们导出了非线性矢量波如亮孤子、Kuznetsov-Ma孤子、Akhmediev呼吸子和流氓波的精确解，并展示了它们有趣的时空结构。得到了标定非线性波参数范围的相图。我们的研究结果在玻色-爱因斯坦凝聚体、非线性纤维和超流体等领域具有重要意义。

Coexistence of two kinds of superfluidity in Bose-Hubbard model with density-induced tunneling at finite temperatures

With use of the U(1) quantum rotor method in the path integral effective action formulation, we have confirmed the mathematical similarity of the phase Hamiltonian and of the extended Bose-Hubbard model with density-induced tunneling (DIT). Moreover, we have shown that the latter model can be mapped to a pseudospin Hamiltonian that exhibits two coexisting (single-particle and pair) superfluid phases. Phase separation of the two has also been confirmed, determining that there exists a range of coefficients in which only pair condensation, and not single-particle superfluidity, is present. The D…

光晶格中简并和时间折射对称性破缺的隧道诱导恢复

Tunneling-Induced Restoration of the Degeneracy and the Time-Reversal Symmetry Breaking in Optical Lattices

本文研究了一维光晶格的$p$带中玻色子的基态性质。我们表明，系统的相图是由晶格势的非谐性的影响很大。特别地，对于一定范围的隧穿强度，系统的全多体基态变得简并。在这个区域，系统的另一个对称性，即所选轨道的占有数的宇称，自发破缺。具有非零交错角动量的态打破了时间反演对称性，成为系统真正的基态。

涡旋诱导双阱中的涡旋亮孤子偶极：分岔、对称性破缺和孤子隧穿

Vortex-Bright Soliton Dipoles: Bifurcations, Symmetry Breaking and Soliton Tunneling in a Vortex-Induced Double Well

研究了双组分玻色-爱因斯坦凝聚体中涡旋亮孤子偶极的出现。这些偶极子可以具有同相（对称）或异相（反对称）的明亮孤立结构。这两种可能性中的每一个的动力学鲁棒性被认为是和异相的情况下被发现表现出一个有趣的破坏性的不稳定性，这反过来又会导致隧道的两个涡“井”之间的明亮的波函数。我们用涡致双势阱系统解释了这一现象，该系统的自发对称性破缺除了导致对称和反对称偶极外，还导致非对称涡亮偶极.这些国家的理论预测证实了详细的数值计算。

Non-exponential tunneling due to mean-field induced swallowtails

Typically, energy levels change without bifurcating in response to a change of a control parameter. Bifurcations can lead to loops or swallowtails in the energy spectrum. The simplest quantum Hamiltonian that supports swallowtails is a non-linear $2 \times 2$ Hamiltonian with non-zero off-diagonal elements and diagonal elements that depend on the population difference of the two states. This work implements such a Hamiltonian experimentally using ultracold atoms in a moving one-dimensional optical lattice. Self-trapping and non-exponential tunneling probabilities, a hallmark signature of band …

Non-Hermitian skin modes induced by on-site dissipations and chiral tunneling effect

In this paper, we study the conditions under which on-site dissipations can induce non-Hermitian skin modes in non-Hermitian systems. When the original Hermitian Hamiltonian has spinless time-reversal symmetry, it is impossible to have skin modes; on the other hand, if the Hermitian Hamiltonian has spinful time-reversal symmetry, skin modes can be induced by on-site dissipations under certain circumstance. As a concrete example, we employ the Rice-Mele model to illustrate our results. Furthermore, we predict that the skin modes can be detected by the chiral tunneling effect, that is, the tunne…

谐振限制光晶格中玻色子的猝灭诱导共振隧穿机制

Quench-induced resonant tunneling mechanisms of bosons in an optical lattice with harmonic confinement

研究了一维光晶格中附加谐波陷阱从强约束到弱约束突然猝灭时小玻色子系综的非平衡动力学。我们发现，初始本地化和排斥相互作用之间的竞争导致系统的共振响应的中间淬火振幅，对应于避免交叉的多体本征谱与不同的最终陷阱频率。特别是，我们表明，这些避免交叉可以用来准备系统在一个理想的状态。的动力学响应取决于相互作用的强度以及原子的数量体现了多体性质的隧道动力学。

隧穿诱导的单冷原子angular momentum

Tunneling-induced angular momentum for single cold atoms

在由三个简谐势阱组成的二维系统中，通过打破空间绝热通过过程的对称性，研究了单个冷粒子的角动量携带态的产生.通过系统的两个本征态的叠加，单个冷粒子被完全转移到最终陷阱的简并第一激发态，其通过隧穿共振耦合到初始和中间陷阱的基态。取决于该过程的总时间，在最终陷阱中产生角动量，其值在$\pm\hbar$之间振荡。讨论了这一过程中的渐近本征态的各个井和结果已被检查的全二维薛定谔方程的模拟。

Long-Range Non-Equilibrium Coherent Tunneling Induced by Fractional Vibronic Resonances

We study the influence of a linear energy bias on a non-equilibrium excitation on a chain of molecules coupled to local phonons (a tilted Holstein model) using both a random-walk rate kernel theory and a nonperturbative, massively parallelized adaptive-basis algorithm. We uncover structured and discrete vibronic resonance behavior fundamentally different from both linear response theory and homogeneous polaron dynamics. Remarkably, resonance between the phonon energy $\hbarω$ and the bias $δ_ε$ occurs not only at integer but also fractional ratios $δ_ε/(\hbarω) = \frac{m}{n}$, which effect lon…