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Many-Body Quantum Chaos and Entanglement in a Quantum Ratchet.
Marc Andrew Valdez1, Gavriil Shchedrin1, Martin Heimsoth1,2
1Department of Physics, Colorado School of Mines, Golden, Colorado 80401, USA.
Physical Review Letters
|June 23, 2018
Summary
We found new ways to detect quantum chaos in Bose-Einstein condensates. Contrary to expectations, quantum chaotic many-body dynamics are not necessarily highly entangled or delocalized.
Area of Science:
- Quantum physics
- Many-body dynamics
- Quantum chaos
Background:
- Bose-Einstein condensates offer a unique platform for studying complex quantum phenomena.
- Understanding quantum chaos in many-body systems is crucial for advancing quantum mechanics.
- Traditional methods for detecting quantum chaos are limited in certain regimes.
Purpose of the Study:
- To identify and characterize quantum chaos signatures in a Bose-Einstein condensate quantum ratchet.
- To develop novel measures for detecting many-body quantum chaos beyond the reach of random matrix theory.
- To challenge conventional understandings of quantum chaos indicators.
Main Methods:
- Utilizing a Bose-Einstein condensate in a toroidal trap to create a quantum ratchet.
- Proposing and applying measures such as entanglement, condensate depletion, and Hilbert space spreading.
- Quantitatively analyzing many-body dynamics to identify the onset of quantum chaos.
Main Results:
- Identified distinct signatures of quantum chaos in the many-body dynamics of the quantum ratchet.
- Demonstrated the effectiveness of proposed measures in regimes where random matrix theory is inapplicable.
- Revealed that many-body quantum chaos in this system is not characterized by high entanglement or delocalization.
Conclusions:
- The study provides new tools for detecting quantum chaos in complex quantum systems.
- The findings challenge established criteria for identifying quantum chaos, suggesting a more nuanced understanding is needed.
- This work opens new avenues for exploring quantum chaos in condensed matter and quantum information science.
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