Long-range electron-electron interactions in quantum dot systems and applications in quantum chemistry

Abstract

Long-range interactions play a key role in several phenomena of quantum physics and chemistry. To study these phenomena, analog quantum simulators provide an appealing alternative to classical numerical methods. Gate-defined quantum dots have been established as a platform for quantum simulation, but for those experiments the effect of long-range interactions between the electrons did not play a crucial role. Here we present the first detailed experimental characterization of long-range electron-electron interactions in an array of gate-defined semiconductor quantum dots. We demonstrate significant interaction strength among electrons that are separated by up to four sites, and show that our theoretical prediction of the screening effects matches well the experimental results. Based on these findings, we investigate how long-range interactions in quantum-dot arrays may be utilized for analog simulations of artificial quantum matter. We numerically show that about ten quantum dots are sufficient to observe binding for a one-dimensional $H_2$-like molecule. These combined experimental and theoretical results pave the way for future quantum simulations with quantum dot arrays and benchmarks of numerical methods in quantum chemistry.

6 pages, 3 figures, supplemental material: 4 pages, 3 figures

References in corpus (7)

• Demonstration of Entanglement of Electrostatically Coupled Singlet-Triplet Qubits
• Scalable gate architecture for densely packed semiconductor spin qubits
• Rapid high-fidelity gate-based spin read-out in silicon
• Quantum simulation of Fermi-Hubbard models in semiconductor quantum dot arrays
• Quantum simulation of antiferromagnetic Heisenberg chain with gate-defined quantum dots
• Chemistry in One Dimension
• Correlation induced $d$-wave pairing in quantum dot square lattice

Cited by in corpus (7)

• Exciton transport in a germanium quantum dot ladder
• Few-body analogue quantum simulation with Rydberg-dressed atoms in optical lattices
• Mitigation of exchange cross-talk in dense quantum dot arrays
• Multi-qubit DC gates over an inhomogeneous array of quantum dots
• A diverse set of two-qubit gates for spin qubits in semiconductor quantum dots
• Universal control of superexchange in linear triple quantum dots with an empty mediator
• Effects of rotation on the thermodynamic properties of a quantum dot