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Rényi Entropies from Random Quenches in Atomic Hubbard and Spin Models
A Elben1,2, B Vermersch1,2, M Dalmonte3
1Institute for Theoretical Physics, University of Innsbruck, Innsbruck A-6020, Austria.
Physical Review Letters
|February 27, 2018
Summary
Scientists developed a new quantum simulation method to measure Rényi entropies in atomic models. This technique uses single quantum state copies and random unitaries for advanced entanglement studies.
Area of Science:
- Quantum Information Science
- Condensed Matter Physics
Background:
- Rényi entropies quantify quantum entanglement.
- Measuring these entropies in complex quantum systems is challenging.
Purpose of the Study:
- To present a novel scheme for measuring Rényi entropies.
- To enable measurements in generic atomic Hubbard and spin models.
- To apply the scheme to arbitrary spatial dimensions using single quantum state copies.
Main Methods:
- Generation of random unitaries via engineered time-dependent disorder potentials.
- Implementation of random quenches and standard projective measurements.
- Utilizing quantum gas microscopes for experimental realization.
Main Results:
- The protocol is feasible with existing quantum simulators.
- Demonstrated analysis of random unitary properties and statistical errors.
- Showcased potential for measuring area law scaling of entanglement in 2D spin models.
Conclusions:
- The proposed scheme offers a practical approach to characterizing entanglement in quantum many-body systems.
- Enables the study of entanglement dynamics, such as entanglement growth in many-body localized systems.
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