Local Readout and Control of Current and Kinetic Energy Operators in Optical Lattices

Author:

Impertro Alexander123ORCID,Karch Simon123,Wienand Julian F.123ORCID,Huh SeungJung123ORCID,Schweizer Christian123,Bloch Immanuel123ORCID,Aidelsburger Monika123ORCID

Affiliation:

1. Ludwig-Maximilians-Universität

2. Max-Planck-Institut für Quantenoptik

3. Munich Center for Quantum Science and Technology (MCQST)

Abstract

Quantum gas microscopes have revolutionized quantum simulations with ultracold atoms, allowing one 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 one 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. Published by the American Physical Society 2024

Funder

Deutsche Forschungsgemeinschaft

Bundesministerium für Bildung und Forschung

HORIZON EUROPE Framework Programme

National Research Foundation of Korea

Ministry of Science and ICT, South Korea

European Commission

H2020 Marie Skłodowska-Curie Actions

German Academic Scholarship Foundation

Marianne-Plehn-Program

Quantum Information Research Support Center

Free State of Bavaria

Excellence Strategy of the German Federal Government and the Länder

Publisher

American Physical Society (APS)

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