Quantized topological response in trapped quantum gases
- Creators
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Zhang, Pengfei
Abstract
We study the quantized topological response of trapped one-dimensional quantum gases, which involves applying an optical pulse to a half-infinite region in an asymptotically harmonic trap and measuring the resulting density distribution. We prove that the corresponding linear response is described by a universal quantized formula in the thermodynamic limit, which is invariant under local continuous deformations of the trapping potential V, atom distribution f_Λ, the spatial envelope of the optical pulse Θₚ, and the measurement region Θₘ. Our numerical analysis confirms this prediction with high accuracy, and we show that a short but finite optical pulse duration only causes a violation of quantization near the transition time. Our work presents an exciting avenue for exploring quantized topological phenomena in trapped quantum gases.
Additional Information
© 2023 American Physical Society. We thank Yingfei Gu, Chengshu Li, Ning Sun, and Fan Yang for invaluable discussions. P.Z. is partly supported by the Walter Burke Institute for Theoretical Physics at Caltech.Attached Files
Published - PhysRevA.107.L031305.pdf
Supplemental Material - Supplementary.pdf
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Additional details
- Eprint ID
- 121260
- Resolver ID
- CaltechAUTHORS:20230502-19665000.5
- Walter Burke Institute for Theoretical Physics
- Created
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2023-05-05Created from EPrint's datestamp field
- Updated
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2023-05-05Created from EPrint's last_modified field
- Caltech groups
- Walter Burke Institute for Theoretical Physics, Institute for Quantum Information and Matter