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Published on: August 2, 2019
Quantum information scrambling in two-dimensional Bose-Hubbard lattices
Devjyoti Tripathy1, Akram Touil2,3, Bartłomiej Gardas4
1Department of Physics, University of Maryland, Baltimore County, Baltimore, Maryland 21250, USA.
Lattice geometry governs information dispersion. Two-dimensional Bose-Hubbard lattices show information scrambling, with out-of-time-ordered correlators (OTOC) revealing quantum chaos characteristics under specific conditions.
Area of Science:
- Quantum physics
- Condensed matter physics
- Statistical mechanics
Background:
- Excitations in lattices are governed by structure.
- Information dispersion depends on lattice geometry.
- Quantum chaos and information scrambling are key phenomena.
Purpose of the Study:
- To investigate information scrambling in two-dimensional lattices.
- To analyze the behavior of out-of-time-ordered correlators (OTOC) in these systems.
- To explore the relationship between information scrambling and decoherence.
Main Methods:
- Utilizing the Bose-Hubbard model for two-dimensional lattices.
- Simulating systems with as few as two hexagons.
- Calculating out-of-time-ordered correlators (OTOC).
Main Results:
- Demonstrated information scrambling in two-dimensional Bose-Hubbard lattices.
- Observed exponential decay in OTOC for quantum chaos only with specific local observables.
- Found that OTOC is generally described by Gaussian-exponential convolutions.
Conclusions:
- Lattice geometry significantly impacts information dispersion.
- Information scrambling occurs in small two-dimensional lattice systems.
- The behavior of OTOC suggests a strong link between information scrambling and decoherence theory.
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