Bulletin of the American Physical Society
53rd Annual Meeting of the APS Division of Atomic, Molecular and Optical Physics
Volume 67, Number 7
Monday–Friday, May 30–June 3 2022; Orlando, Florida
Session Z04: Quantum Gases in Optical Lattices IIRecordings Available

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Chair: Zoe Yan, Princeton Room: Salon 3/4 
Friday, June 3, 2022 10:30AM  10:42AM 
Z04.00001: Spatial correlations in fermionic triangular lattice Hubbard systems Jirayu Mongkolkiattichai, Liyu Liu, Davis A Garwood, Jin Yang, Peter Schauss Ultracold atoms in triangular optical lattices provide a versatile platform to study strongly correlated systems in which the interplay of motion, interactions and spin gives rise to new states of matter. The interesting feature for triangular lattices is the geometric frustration that three spins with antiferromagnetic interactions cannot be antiparallel, leading to large degeneracies in the manybody ground state [1]. The superposition of the degeneracies could result in a quantum spin liquid which is numerically predicted to occur between the metallic and ordered magnetic phases [2]. In this talk, we present a Mott insulator of lithium6 on a symmetric triangular lattice with a lattice spacing of 1003 nm. The lattice is imaged using Raman sideband cooling technique with an imaging fidelity of 98% [3]. We calibrated tunneling and interaction by extracting lattice depth from band excitation. The temperature of our atoms is below onefifth of the Fermi temperature before loading to the lattice and the temperature scale is less than the tunneling in the lattice. We performed spin removal technique [4] to resolve either spin up or down using onresonance imaging light to detect spinspin correlations. We compare the results to a numerical linked cluster expansion calculation and plan to investigate 120° Neel ordering in Heisenberg antiferromagnets and search for quantum spin liquids in the triangular lattice Hubbard system. 
Friday, June 3, 2022 10:42AM  10:54AM 
Z04.00002: FermiHubbard Model in TunableGeometry Lattices Muqing Xu, Lev H Kendrick, Anant Kale, Geoffrey Ji, Martin Lebrat, Markus Greiner Ultracold atoms in optical lattices provide new perspectives into the study of strongly correlated systems. Fermi gas microscopes, in particular, offer single siteresolved readout and manipulation to elucidate the intricate quantum phases in the Fermi Hubbard model such as pseudo gap, strange metal and HighTc superconductivity. We demonstrate this capability by studying the time and siteresolved dynamics of a hole dopant after a quench and how it scrambles the spin environment. We also report on progress towards an upgraded optical lattice. By interfering and phaselocking the lattice beams, the lattice geometry can be tuned to triangular, honeycomb and nonbipartite square geometries. This would allow introducing geometric frustration in quantum magnetism and studying the Fermi Hubbard model beyond the square lattice band structure. The dynamical tunability would also facilitate adiabatic state preparation of low entropy stronglycorrelated quantum phases. 
Friday, June 3, 2022 10:54AM  11:06AM 
Z04.00003: Bilayer FermiHubbard physics under a quantum gas microscope Thomas R Hartke, Botond Oreg, Carter Turnbaugh, Ningyuan Jia, Martin W Zwierlein Two crucial goals of experiments on stronglycorrelated fermions in optical lattices are to understand how fermion pairing depends on dimensionality, and to understand how pairing is altered when the lattice is doped with excess charge and spin. In this talk, we introduce an experimental platform to address these questions. We realize a bilayer twodimensional FermiHubbard system under a quantum gas microscope through the use of a coherent, outofplane, doublewell superlattice. This doublewell superlattice is also used to reveal the full spin and charge configuration of a single layer system through a twostep process of outofplane Stern Gerlach separation, followed by bilayerselective illumination. These advances represent steps toward quantum simulators which closely mimic and inform the properties of real materials. 
Friday, June 3, 2022 11:06AM  11:18AM 
Z04.00004: Engineering of lattice models with local control in quantum microscopes Timon Hilker, Sarah Hirthe, Dominik Bourgund, Petar Bojovic, Thomas Chalopin, Immanuel Bloch Optical lattices provide a robust platform for quantum simulations in simple geometries, and the use of superlattices and digital mirror devices (DMDs) vastly extends the control over the microscopic behavior. We use these methods to prepare exciting starting states, modify the lattice Hamiltonian, and reach full spin resolution in our quantum microscope. In particular, I will present our realization of the spin1 Haldane model in a fermionic ladder system by engineering antiferromagnetic leg and ferromagnetic rung couplings. We measure the topological structure of the Haldane phase via the string correlations and compare them to the trivial case. Upon doping, we can use our local control to restrict the motion of holes to one dimension while keeping the spinexchange twodimensional. This greatly enhances holehole attraction leading to bound hole pairs. 
Friday, June 3, 2022 11:18AM  11:30AM 
Z04.00005: Dynamical preparation of the tJ model in a FermiHubbard simulator via optical lattice ramps Anant Kale, Annabelle Bohrdt, Jakob Huhn, Muqing Xu, Lev H Kendrick, Martin Lebrat, Fabian Grusdt, Markus Greiner The tJ model describes the lowenergy properties of the doped FermiHubbard model, relevant to the studies of highTc superconductivity. The "simpler" tJ model can be derived from the FermiHubbard model by performing a SchriefferWolff basis transformation and restricting the Hilbert space to exclude doubly occupied sites. We propose a protocol for cold atom experiments to dynamically prepare the tJ model ground (thermal) state in an optical lattice starting from the FermiHubbard ground (thermal) state. Our simple protocol involves performing a slow linear ramp of the optical lattice depth just before fluorescence imaging, which acts as an approximate SchriefferWolff transformation on low energy FermiHubbard eigenstates and eliminates the doublonhole fluctuations. This lattice ramp maps the FermiHubbard eigenstates onto eigenstates of the t−J model which can then be imaged in the natural Fock basis of cold atom experiments. We perform a numerical study using exact diagonalization and find an optimal ramp speed for which the state after the lattice ramp has maximal overlap with the tJ model state and shows correlations approaching those for the tJ model. We also compare our numerics to existing experimental data from our Lithium6 fermionic quantum gas microscope and show a proofofprinciple demonstration of this protocol. More generally, this protocol enables the study of low energy effective Hamiltonians derived via the SchriefferWolff transformation frequently encountered in particle physics. 
Friday, June 3, 2022 11:30AM  11:42AM 
Z04.00006: Outofequilibrium dynamics of the two component BoseHubbard model Florian Baer, Malcolm P Kennett Cold atoms in optical lattices can be used as quantum simulators to study the temporal evolution of quantum systems, which has lead to increasing interest in the outofequilibrium dynamics of multicomponent bosons in optical lattices. We study the BoseHubbard model for two component bosons using a strongcoupling approach within the closed time path formalism. We develop an effective theory for the action of this problem and obtain equations of motion for the superfluid order parameter. We study these equations of motion in the lowfrequency, long wavelength limit for various initial conditions. 
Friday, June 3, 2022 11:42AM  11:54AM 
Z04.00007: Formation of matterwave polaritons in an optical lattice Youngshin Kim, Joonhyuk Kwon, Alfonso Lanuza, Hongyi Huang, Dominik Schneble The polariton is a quasiparticle formed by strong lightmatter coupling. It has been exploited to achieve superfluids of light as well as strongly correlated phases in photonic quantum systems. Recently, we have implemented an ultracoldatom polariton analog, where light and matter are replaced by matter waves and excitations in an optical lattice [1, 2]. In our tunable and dissipationfree system, we have spectroscopically accessed the polariton band structure and studied transport behavior in the superfluid and Mottinsulating regimes. Our work opens up novel possibilities for exploring excitonpolariton physics and polaritonic quantum matter. 
Friday, June 3, 2022 11:54AM  12:06PM 
Z04.00008: Snapshotbased detection of ½Laughlin states: coupled chains and central charge Felix Alexander A Palm, Sam Mardazad, Annabelle Bohrdt, Ulrich J Schollwoeck, Fabian Grusdt Experimental realizations of topologically ordered states of matter, such as fractional quantum Hall states, with cold atoms are now within reach. In particular, optical lattices provide a promising platform for the realization and characterization of such states, where novel detection schemes enable an unprecedented microscopic understanding. 
Friday, June 3, 2022 12:06PM  12:18PM 
Z04.00009: Strongly interacting fluids in a BoseHubbard circuit: Adiabatic preparation Gabrielle Roberts, Andrei Vrajitoarea, Brendan Saxberg, Margaret G Panetta, Ruichao Ma, David Schuster, Jonathan Simon In recent years, circuit QED has proven to be a rich testbed for studying quantum manybody phenomena in synthetic photonic materials. We assemble a 1D Bose Hubbard lattice for microwave photons using a chain of capacitively coupled transmon qubits, with strong photon interactions mediated by the transmon anharmonicity. In this part of the talk we manipulate the onsite energy to explore themes of adiabatic state preparation: melting localized single particles in disordered lattices to quasimomentum states in ordered lattices, preparing a strongly interacting superfluid state, studying the transition between diabatic and adiabatic regime, and quantifying the reversibility of the state preparation as a measure of adiabaticity. 
Friday, June 3, 2022 12:18PM  12:30PM 
Z04.00010: Strongly interacting fluids in a BoseHubbard circuit: Observables Andrei Vrajitoarea, Gabrielle Roberts, Brendan Saxberg, Margaret G Panetta, Ruichao Ma, David Schuster, Jon Simon In recent years, circuit QED has proven to be a rich testbed for studying manybody phenomena in synthetic photonic materials. We assemble a 1D Bose Hubbard lattice for microwave photons using a chain of capacitively coupled transmon qubits, with strong photon interactions mediated by the transmon anharmonicity. In this second part of the talk, we discuss our results in probing the static and dynamical properties of the adiabatically prepared fluid. We characterize the longrange order in the lattice by measuring twobody density correlations, highlighting the statistics for the separation between two photons. Going beyond nonlocal correlations, we probe the global entanglement from singlesite tomography and average the purity over the whole lattice. Finally, we access outofequilibrium transport properties by locally modulating the lattice potential and measuring the spectral response in terms of heat absorption and AC susceptibility, offering a direct probe of the low lying density of states of the strongly interacting fluid. 
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