



Atomic Bose–Einstein condensate in twisted-bilayer optical lattices
Authors:Zengming Meng, Liangwei Wang, Wei Han, Fangde Liu, Kai Wen, Chao Gao, Pengjun Wang, Cheng Chin, and Jing Zhang
Observation of strong correlations and superconductivity in twisted-bilayer graphene has stimulated tremendous interest in fundamental and applied physics. In this system, the superposition of two twisted honeycomb lattices, generating a moiré pattern, is the key to the observed fat electronic bands, slow electron velocity and large density of states. Extension of the twisted-bilayer system to new confgurations is highly desired, which can provide exciting prospects to investigate twistronics beyond bilayer graphene. Here we demonstrate a quantum simulation of superfuid to Mott insulator transition in twisted-bilayer square lattices based on atomic Bose–Einstein condensates loaded into spin-dependent optical lattices. The lattices are made of two sets of laser beams that independently address atoms in diferent spin states, which form the synthetic dimension accommodating the two layers. The interlayer coupling is highly controllable by a microwave feld, which enables the occurrence of a lowest fat band and new correlated phases in the strong coupling limit. We directly observe the spatial moiré pattern and the momentum difraction, which confrm the presence of two forms of superfuid and a modifed superfuid to insulator transition in twisted-bilayer lattices. Our scheme is generic and can be applied to diferent lattice geometries and for both boson and fermion systems. This opens up a new direction for exploring moiré physics in ultracold atoms with highly controllable optical lattices.

Observation of quantized vortex in atomic Bose–Einstein condensate at Dirac point with emergent spin–orbit coupling
Authors:Yunda Li, Wei Han, Zengming Meng, Wenxin Yang, Cheng Chin and Jing Zhang
The degeneracy of two or more energy bands at a singular point in the band structure, such as a Dirac point, gives rise to intriguing quantum phenomena as well as unusual material properties. Systems at the Dirac points can possess topological charges and their unique properties can be probed by various methods, such as transport measurement, interferometry and momentum spectroscopy. While the topology of Dirac point in the momentum space is well studied theoretically, observation of topological defects in a many-body quantum system at Dirac point remains an elusive goal. Based on atomic Bose–Einstein condensate in a graphene-like optical honeycomb lattice, we directly observe emergence of quantized vortices induced by the non-commutativity between the harmonic trap and the pseudo-spin–orbit coupling at the Dirac point. By adiabatic control of the honeycomb lattice with an additional harmonic trapping potential, the phase diagram of lattice bosons at the Dirac point is revealed. Our work provides a new way of generating vortices in a quantum gas, and the method is generic and can be applied to different types of optical lattices with topological singularities, including topological flat bands near Dirac points in twisted bilayer optical lattices.

On-demand assembly of optically levitated nanoparticle arrays in vacuum
Authors:Jiangwei Yan, Xudong Yu, Zheng Vitto Han, Tongcang Li and Jing Zhang
Realizing a large-scale fully controllable quantum system is a challenging task in current physical research and has broad applications. In this work, we create a reconfigurable optically levitated nanoparticle array in vacuum. Our optically levitated nanoparticle array allows full control of individual nanoparticles to form an arbitrary pattern and detect their motion. As a concrete example, we choose two nanoparticles without rotation signals from an array to synthesize a nanodumbbell in situ by merging them into one trap. The nanodumbbell synthesized in situ can rotate beyond 1 GHz. Our work provides a platform for studying macroscopic many-body physics and quantum sensing.

Chiral Raman coupling for spin-orbit coupling in ultracold atomic gases
Authors:Biao Shan , Lianghui Huang , Yuhang Zhao , Guoqi Bian, Pengjun Wang, Wei Han and Jing Zhang
Spin-orbit coupling (SOC) in ultracold atoms is engineered by light-atom interaction, such as two-photon Raman transitions between two Zeeman spin states. In this paper, we propose and experimentally realize chiral Raman coupling to generate SOC in ultracold atomic gases, which exhibits high quantization axis direction dependence. Chiral Raman coupling for SOC is created by chiral light-atom interaction, in which a circularly polarized electromagnetic field generated by two Raman lasers interacts with two Zeeman spin states δmF = ±1 (chiral transition). We present a simple scheme of chiral one-dimensional (1D) Raman coupling by employing two Raman lasers at an intersecting angle 90◦ with the proper polarization configuration. In this case, Raman coupling for SOC exists in one direction of the magnetic quantization axis and disappears in the opposite direction. Then we extend this scheme into a chiral two-dimensional (2D) optical square Raman lattice configuration to generate the 1D SOC. There are two orthogonal 1D SOCs, which exist in the positive and negative directions of the magnetic quantization axis respectively. This case is compared with 2D SOC based on the nonchiral 2D optical Raman lattice scheme for studying the topological energy band. This paper broadens the horizon for understanding chiral physics and simulating topological quantum systems.

Observation of high partial-wave Feshbach resonances in 39K Bose–Einstein condensates
Authors:Yue Zhang, Liangchao Chen, Zekui Wang, Yazhou Wang, Pengjun Wang, Lianghui Huang, Zengming Meng, Ran Q and Jing Zhang
We report the new observation of several high partial-wave (HPW) magnetic Feshbach resonances (FRs) in 39K atoms of the hyperfine substate |F = 1,mF = -1⟩. These resonances locate at the region between two broad s-wave FRs from 32.6 G to 162.8 G, in which Bose–Einstein condensates can be produced with tunable positive scattering length obtained by magnetic FRs. These HPW FRs are induced by the dipolar spin–spin interaction with s-wave in the open channel and HPW in the closed channel. Therefore, these HPW FRs have distinct characteristics in temperature dependence and loss line shape from that induced by spin–exchange interaction with HPWs in both open and closed channels. Among these resonances, one d-wave and two g-wave FRs are confirmed by the multichannel quantum-defect theory calculation. The HPW FRs have significant applications in many-body physics dominated by HPW pairing.

Topologically nontrivial and trivial flat bands via weak and strong interlayer coupling in twisted bilayer honeycomb optical lattices for ultracold atoms
Authors:Wenjie Sui, Wei Han, Zheng Vitto Han, Zengming Meng, and Jing Zhang
In recent years, flat electronic bands in twisted bilayer graphene (TBG) have attracted significant attention due to their intriguing topological properties, extremely slow electron velocities, and enhanced density of states. Extending twisted bilayer systems to new configurations is highly desirable, as it offers promising opportunities to explore flat bands beyond TBG. Here, we study both topological and trivial flat bands in a twisted bilayer honeycomb lattice for ultracold atoms and present the evolution of the flat bands with different interlayer coupling strength (ICS). Our results demonstrate that an isolated topological flat band can emerge at the Dirac-point energy for a specific value of weak ICS, referred to as the “critical coupling.” This occurs over a wide range of twist angles, surpassing the limits of the magic angle in TBG systems. When the ICS is slightly increased beyond the critical coupling value, the topological flat band exhibits degenerate band crossings with both the upper and lower adjacent bands at the high-symmetry s point. As the ICS is further increased into the strong coupling regime, trivial flat bands arise around Dirac-point energy. Meanwhile, more trivial flat bands appear, extending from the lowest to higher energy bands, and remain flat as the ICS increases. The topological properties of the flat bands are studied through the winding pattern of the Wilson loop spectrum. Our research provides deeper insights into the formation of flat bands in ultracold atoms with highly controllable twisted bilayer optical lattices, and may contribute to the discovery of new strongly correlated states of matter.

Time-resolved interplay between superradiant and subradiant states in superradiance lattices of Bose-Einstein condensates
Authors:Chengdong Mi, Khan Sadiq Nawaz, Liangchao Chen, Pengjun Wang, Han Cai, Da-Wei Wang, Shi-Yao Zhu, and Jing Zhang
The collective spontaneous emission of many atoms is significantly different from that of a single atom, depending on the geometry and the phase correlation of atomic ensembles. However, experimental observation of arbitrary superradiant and subradiant states of atoms remains challenging due to the difficulties in both preparation and detection of those states. Here we report the time-resolved observation of superradiance from a timed Dicke state in a momentum-space superradiance lattice of Bose-Einstein condensates, which enables an in situ measurement of the coherent lattice dynamics involving both superradiant and subradiant states. The long-lasting oscillation in the superradiant emission is contributed by population transport from the subradiant states in the superradiance lattice. This work paves the way to prepare and observe subradiant states, which has promising applications in quantum information processing...

Rydberg excitation spectrum of 40K ultracold Fermi gases
Authors:Donghao Li, Guoqi Bian, Jie Miao, Pengjun Wang, Zengming Meng, Liangchao Chen, Lianghui Huang, and Jing Zhang
We report the measurement of the Rydberg excitation spectrum by two-photon process in ultracold 40K Fermi gases. Two different methods are employed to measure the Rydberg excitation spectrum, depending on the power of the probe laser. One scheme is to reduce atomic losses by means of electromagnetically induced transparency. The other is to enhance the atomic losses by spontaneous avalanche ionization due to the strong Rydberg-Rydberg interactions. We verify the consistency of both of the methods. The highest Rydberg states detectable in our experiment are limited to n ≤ 62 due to the competition between the long Rydberg blockade effective range and the limited atomic cloud size...

Tunable flux through a synthetic hall tube of neutral Fermions
Authors:Xi-Wang Luo, Jing Zhang, Chuanwei Zhang
Hall tube with a tunable flux is an important geometry for studying quantum Hall physics, but its experimental realization in real space is still challenging. Here, we propose to realize a synthetic Hall tube with tunable flux in a one-dimensional optical lattice with the synthetic ring dimension defined by atomic hyperfine states. We investigate the effects of the flux on the system topology and study its quench dynamics. Utilizing the tunable flux, we show how to realize topological charge pumping. Finally, we show that the recently observed....

Photoassociation spectroscopy of weakly bound 87Rb2 molecules near the 5P1/2 + 5S1/2 threshold by optical Bragg scattering in Bose-Einstein
Authors:Khan Sadiq Nawaz, Liangchao Chen, Chengdong Mi, Zengming Meng, Lianghui Huang, Pengjun Wang , and Jing Zhang
We report the high-resolution photoassociation (PA) spectroscopy of a 87Rb Bose-Einstein condensate (BEC) to excited molecular states near the dissociation limit of 5P1/2 + 5S1/2 by optical Bragg scattering. Since the detection of optical Bragg scattering in the BEC has a high signal-noise ratio, we obtain the high-resolution PA spectrum of excited molecular states in the range of ±1 GHz near the dissociation limit of 5P1/2 + 5S1/2 . We compare the results with the conventional method of trap loss and show that the results agree with each other very well. Many interesting phenomena of excited molecular states are observed, such as light-induced frequency shift and anomalous strong bound molecular lines at the atomic transition from |F = 1> to |F'= 2>. The observed excited molecular states in the range of ±1 GHz near the dissociation limit of 5P1/2 + 5S1/2 should help to further improve long-range bound-state models near the dissociation limit....

Synthesized magnetic field of a sawtooth superradiance lattice in Bose–Einstein condensates
Authors:Pengjun Wang , Liangchao Chen , Chengdong Mi , Zengming Meng , Lianghui Huang , Khan Sadiq Nawaz , Han Cai , Da-Wei Wang , Shi-Yao Zhu and Jing Zhang
Ultracold atoms have become one of the most exciting platforms to synthesize novel condensed matter physics. Here we realize a sawtooth superradiance lattice in Bose–Einstein condensates and investigate its chiral edge currents. Based on one-dimensional superradiance lattice (SL) in standing wave-coupled electromagnetically induced transparency, a far-detuned standing-wave field is introduced to synthesize a magnetic field. The relative spatial phase between the two standing-wave coupling fields introduce a magnetic flux in the sawtooth loop transitions of the lattice. This flux determines the moving direction of excitations created in the SL and results in nonsymmetric reflectivities when the SL is probed in two opposite directions. Our work demonstrates an in situ technique to synthesize and detect artificial gauge field in cold atoms...

Experimental realization of spin-tensor momentum coupling in ultracold Fermi gases
Authors:Donghao Li , Lianghui Huang, Peng Peng, Guoqi Bian, Pengjun Wang, Zengming Meng, Liangchao Chen and Jing Zhang
We experimentally realize spin-tensor momentum coupling (STMC) using three ground Zeeman states coupled by three Raman laser beams in an ultracold atomic system of 40K Fermi atoms. This type of STMC consists of two bright-state bands as a spin-orbit coupled spin-1/2 system and one dark-state middle band. Using radio-frequency spin-injection spectroscopy, we investigate the energy band of STMC. It is demonstrated that the middle state is a dark state in the STMC system. The experimental realization of STMC open the door for further exploring exotic quantum matter...

