扩展哈伯德模型的散射共振和两粒子束缚态

扩展哈伯德模型中不可分辨粒子的纠缠作为量子相变的探针

Entanglement of indistinguishable particles as a probe for quantum phase transitions in the extended Hubbard model

我们研究了扩展的哈伯德模型在半填充周期性边界条件下的量子相变，采用粒子的纠缠，而不是更传统的纠缠模式。我们的结果表明，纠缠在临界点处存在间断或局部极小值。我们关联的不连续性的一阶过渡，和最小值的二阶。因此，我们表明，粒子的纠缠可以用来推导相图，除了相位SDW-BOW之间的微妙的过渡，和超导体相TS-SS。

用扩展的哈伯德模型模拟长程相互作用系统中空间纠缠和局域纠缠的可行性

Feasibility of approximating spatial and local entanglement in long-range interacting systems using the extended Hubbard model

我们调查的扩展哈伯德模型作为一个近似的本地和空间纠缠的一维链的纳米结构，其中粒子通过一个“软”库仑势表示的长程相互作用。在这个过程中，我们设计了一个协议来计算哈伯德模型的粒子-粒子的空间纠缠，并表明，在鲜明的对比空间自由度的损失，预测是相当准确的。我们还比较了结果的本地纠缠与以前的结果发现，使用接触相互作用（PRA，81（2010）052321），并表明，而扩展的哈伯德模型恢复一个更好的协议与纠缠的长程相互作用系统，仍然存在现实的参数区域，它无法预测的定量和定性行为的纠缠在纳米结构系统。

扩展哈伯德模型中束缚团簇的快速转移和有效相干分离

Fast transfer and efficient coherent separation of bound cluster in the extended Hubbard model

研究了玻色和费米系统强关联扩展哈伯德模型中束缚对和束缚三重态的形成和动力学性质。我们发现，BP和BT的带宽增益显着时，现场和最近邻相互作用强度达到相应的共振点。这允许BP和BT的快速传输和有效相干分离。精确结果表明，在最优系统中，相干分离的成功概率为1。在费米系统中，这一发现可以用来产生远距离纠缠，而不需要时间控制和测量过程。

Interaction-induced two-photon edge states in extended Hubbard model realized in a cavity array

We study theoretically two-photon states in a periodic array of coupled cavities with both on-site and nonlocal Kerr-type nonlinearities. In the absence of nonlinearity the structure is topologically trivial and possesses no edge states. The interplay of two nonlinear interaction mechanisms described by the extended Hubbard model facilitates formation of edge states of bound photon pairs. Numerical and exact analytical results for the two-photon wave functions are presented. Our findings thus shed light onto the edge states of composite particles and their localization properties.

Fermion pairing in body-centered-cubic quantum simulators of extended Hubbard models

We investigate formation and condensation of fermion pairs in cold-atom quantum simulators for extended Hubbard models ($UV$ models) with body-centered-cubic (BCC) optical lattices in the dilute limit, predicting small and light pairs. Pair mass, radius, and binding conditions are calculated, and used to compute transition temperatures. We predict that: (a) local pairs form in BCC optical lattices and binding energies can be large; (b) for particular cases where onsite $U$ and intersite $V$ are attractive with similar size, pairs are both small and light; and (c) pairs of $^6$Li atoms Bose--Ei…

通过双频驱动缓解 Floquet-Hubbard 晶格中的高能带加热

Mitigating higher-band heating in Floquet-Hubbard lattices via two-tone driving

本文将双频驱动抵消多光子共振的方法引入受激 Floquet-Hubbard 晶格，证明弱第二驱动可抑制强摇动下的高能带加热，并发现最佳振幅依赖相互作用强度 $U$。

Extended Bose-Hubbard models with Rydberg macrodimer dressing

Extended Hubbard models have proven to bear novel quantum states, but their experimental realization remains challenging. In this work we propose to use bosonic quantum gases dressed with molecular bound states in Rydberg interaction potentials for the observation of these quantum states. We study the molecular Rabi coupling with respect to principal quantum number and trapping frequency of the ground state atoms for various molecular potentials of Rubidium and Potassium, and the hereby resulting dressed interaction strength. Additionally, we propose a two-color excitation scheme which signifi…

一维扩展Bose-哈伯德模型的纠缠谱

Entanglement spectrum of one-dimensional extended Bose-Hubbard models

纠缠谱提供了有关相关量子系统的重要信息。我们表明，研究的块状性质的减少密度矩阵在一些部门和分区的依赖性的频谱在有限的系统导致有趣的意想不到的见解，我们说明的情况下，一维扩展哈伯德模型。我们表明，块对称性提供了一个直观的理解的光谱双简并的Haldane绝缘体，以及揭示部分双简并的莫特绝缘体。此外，令人惊讶的是，在Half-和莫特-绝缘体的光谱简并的分区依赖性直接链接到，在原则上无关，密度-密度相关性，并提出了一个有趣的周期性行为在超流和超固相。

Dynamical quantum phase transitions in the one-dimensional extended Fermi-Hubbard model

We study the emergence of dynamical quantum phase transitions (DQPTs) in a half-filled one-dimensional lattice described by the extended Fermi-Hubbard model, based on tensor network simulations. Considering different initial states, namely noninteracting, metallic, insulating spin and charge density waves, we identify several types of sudden interaction quenches which lead to DQPTs. Furthermore, clear connections to particular properties of observables, specifically the mean double occupation or charge imbalance, are established in two main regimes, and scenarios in which such correspondence i…