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1. On the other hand, quantum chaos describes chaotic classical dynamical systems in terms of quantum theory.
2. Quantum chaos is responsible for the scrambling of information occurring in complex systems such as blackholes.
3. Thus, one could leverage balanced energy gain and loss as an experimental tool not only to probe quantum chaos but to study many-body quantum systems in general.
4. "Decoherence limits quantum computing, so it follows that because increasing quantum chaos reduces decoherence, you can keep computing longer," Saxena said.
5. Quantum chaos is a branch of physics which studies how chaotic classical dynamical systems can be described in terms of quantum theory.
6. Quantum chaos typically deals with systems whose properties need to be calculated using either numerical techniques or approximation schemes (see e.g. Dyson series).
7. Nevertheless, learning how to solve such quantum problems is an important part of answering the question of quantum chaos.
8. Statistical measures of quantum chaos were born out of a desire to quantify spectral features of complex systems.
9. I must emphasize, however, that the term "quantum chaos" serves more to describe a conundrum than to define a well-posed problem.
10. Considering the following interpretation of the bigger picture may be helpful in coming to grips with quantum chaos.
11. Quantum chaos is concerned with establishing the relation between boxes P (chaotic systems) and Q (quantum systems).
12. "At present this seems to be the best textbook on quantum chaos.
13. The book is based on lectures on classical and quantum chaos held by the author at Heidelberg University.
14. Quantum chaos began as an attempt to nd chaos, in the sense of extreme sensitivity to in quantum me- changes in initial conditions, chanical systems.
15. These are some of the questions that quantum chaos tries to answer.
16. This book, however, is one of the first to deal with quantum chaos, the natural progression from such classical systems.
17. In this book the author deals with three major issues in quantum chaos.
18. The primary issues in quantum chaos in a three-body system are what are the signs of chaos, and how large the quantum system has to be to display chaotic behavior.
19. In quantum chaos, trajectories do not diverge exponentially because they are constrained by the fact that the entire evolution must be unitary.
20. Several signatures have been studied in the literature to identify quantum chaos but all of them fall short in some way or the other.
21. Then, we will discuss a few well-studied signatures of quantum chaos and the subtleties associated with them.
22. There are some major differences between classical and quantum mechanics, and these differences are important for our discussion of quantum chaos.
23. “Our work challenges the expectation that decoherence generally suppresses quantum chaos,” Saxena said.
24. Decoherence limits quantum computing, so it follows that because increasing quantum chaos reduces decoherence, you can keep computing longer,” Saxena said.
25. The subject of quantum chaos is an active field of research in which many basic issues still require clarification.
26. A novel quantity to measure quantum chaos in spectra is proposed and a conjecture about its universal statistical behaviour is put forward.
27. There thus exists no quantum chaos (QC`} that manifests itself in the long-time behaviour of the dynamics.
28. This experiment has been carried out by the team of J. C. Garreau and P. Szriftgiser (quantum chaos group of the PhLAM lab).

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• [{'LOWER': 'quantum'}, {'LEMMA': 'chaos'}]