Unitary n -designs via random quenches in atomic Hubbard and spin models: Application to the measurement of Rényi entropies
Abstract
We present a general framework for the generation of random unitaries based on random quenches in atomic Hubbard and spin models, forming approximate unitary n -designs, and their application to the measurement of Rényi entropies. We generalize our protocol presented in Elben et al. [Phys. Rev. Lett. 120, 050406 (2018), 10.1103/PhysRevLett.120.050406] to a broad class of atomic and spin-lattice models. We further present an in-depth numerical and analytical study of experimental imperfections, including the effect of decoherence and statistical errors, and discuss connections of our approach with many-body quantum chaos.
- Publication:
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Physical Review A
- Pub Date:
- February 2018
- DOI:
- 10.1103/PhysRevA.97.023604
- arXiv:
- arXiv:1801.00999
- Bibcode:
- 2018PhRvA..97b3604V
- Keywords:
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- Quantum Physics;
- Condensed Matter - Quantum Gases
- E-Print:
- This is a new and extended version of the Supplementary material presented in arXiv:1709.05060v1, rewritten as a companion paper. Version accepted to Phys. Rev. A. Minus sign corrected in Eq (5)