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Probing the Hall Voltage in Synthetic Quantum Systems
Maximilian Buser1, Sebastian Greschner2, Ulrich Schollwöck1
1Department of Physics, Arnold Sommerfeld Center for Theoretical Physics (ASC), Munich Center for Quantum Science and Technology (MCQST), Fakultät für Physik, Ludwig-Maximilians-Universität München, D-80333 München, Germany.
Researchers propose measuring Hall voltage in quantum gases, enabling direct comparison with solid-state systems. This study reveals robust Hall voltage characteristics in interacting flux ladders, unobservable in Hall polarization.
Area of Science:
- Quantum simulation
- Condensed matter physics
- Ultracold atoms
Background:
- Artificial magnetic fields in quantum gases are experimentally realized.
- Hall polarization measurements are established in these systems.
- Direct comparison with solid-state systems is desired.
Purpose of the Study:
- To extend Hall polarization measurements to Hall voltage in quantum gases.
- To enable direct comparison between quantum gas and solid-state systems.
- To investigate Hall response in inhomogeneous quantum phases.
Main Methods:
- Theoretical discussion of feasible schemes for Hall voltage measurement.
- Analysis of interacting flux ladder models.
- Investigation of site-resolved Hall response.
Main Results:
- Characteristic zero crossings in Hall voltage were identified.
- Hall voltage exhibits remarkable robustness against interaction strengths, particle fillings, and geometries.
- These Hall voltage features are unobservable in Hall polarization.
- Spatially inhomogeneous quantum phases show distinct site-resolved Hall responses.
Conclusions:
- Measuring Hall voltage in quantum gases is feasible and provides new insights.
- The robustness of Hall voltage offers a unique signature compared to Hall polarization.
- This approach facilitates a direct bridge between quantum gas experiments and solid-state physics.
- Site-resolved measurements reveal complex responses in inhomogeneous systems.
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