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Semiclassical Identification of Periodic Orbits in a Quantum Many-Body System
Maram Akila1, Daniel Waltner1, Boris Gutkin1
1Fakultät für Physik, Universität Duisburg-Essen, Lotharstraße 1, 47048 Duisburg, Germany.
Physical Review Letters
|May 6, 2017
Summary
Investigating quantum many-body chaos, this study introduces a semiclassical analysis for kicked spin chains. It reveals how collective motion influences the mix of regular and chaotic dynamics in these complex quantum systems.
Area of Science:
- Quantum mechanics
- Statistical physics
- Complex systems
Background:
- Chaos in single-particle quantum systems is well-studied.
- Chaos in quantum many-body systems remains less understood.
- Semiclassical analysis is challenging due to exponential orbit proliferation.
Purpose of the Study:
- To develop a feasible semiclassical analysis for quantum many-body systems.
- To investigate the dynamics of a kicked spin chain.
- To understand the role of collective motion in quantum chaos.
Main Methods:
- Utilizing a recently discovered duality relation.
- Focusing on collective and incoherent motion.
- Analyzing a kicked spin chain model.
Main Results:
- Demonstrated a method for semiclassical analysis in many-body systems.
- Identified the interplay between collective motion and chaos.
- Observed a mixture of regular and chaotic dynamics.
Conclusions:
- Semiclassical analysis is applicable to quantum many-body systems.
- Collective motion significantly impacts the chaotic behavior.
- The kicked spin chain serves as a relevant model for studying quantum chaos.
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