Local readout and control of current and kinetic energy operators in optical lattices

Abstract

Quantum gas microscopes have revolutionized quantum simulations with ultracold atoms, allowing to measure local observables and snapshots of quantum states. However, measurements so far were mostly carried out in the occupation basis. Here, we demonstrate how all kinetic operators, such as kinetic energy or current operators, can be measured and manipulated with single bond resolution. Beyond simple expectation values of these observables, the single-shot measurements allow to access full counting statistics and complex correlation functions. Our work paves the way for the implementation of efficient quantum state tomography and hybrid quantum computing protocols for itinerant particles on a lattice. In addition, we demonstrate how site-resolved programmable potentials enable a spatially-selective, parallel readout in different bases as well as the engineering of arbitrary initial states.

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Cited by in corpus (21)

• Real-time scattering in the lattice Schwinger model
• Realization of strongly-interacting Meissner phases in large bosonic flux ladders
• Non-Gaussian diffusive fluctuations in Dirac fluids
• Many-body Physics of Ultracold Alkaline-Earth atoms with SU($N$)-symmetric interactions
• Optical superlattice for engineering Hubbard couplings in quantum simulation
• Geometric Floquet theory
• Floquet Flux Attachment in Cold Atomic Systems
• Simulating Chemistry with Fermionic Optical Superlattices
• Efficiently measuring $d$-wave pairing and beyond in quantum gas microscopes
• Measurement of total phase fluctuation in cold-atomic quantum simulators
• Diagnosing quantum transport from wave function snapshots
• Subexponential decay of local correlations from diffusion-limited dephasing
• A phase microscope for quantum gases
• A symmetry-protected topological optical lattice clock
• Chiral phases and dynamics of dipoles in triangular optical ladders
• Third quantization with Hartree approximation for open-system bosonic transport
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• Fractionalized Prethermalization in the One-Dimensional Hubbard Model
• Engineering long-range and multi-body interactions via global kinetic constraints
• Phase Transition of Topological Index driven by Dephasing
• Dissipative Generation of Currents by Nonreciprocal Local and Global Environments