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Chaos and Randomness in Strongly Interacting Quantum Systems

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Figure

Figure 1.1: The 2-point spectral form factor R2, where we have denoted some of the impor-tant behaviors in a chaotic quantum system.
Figure 1.2: The out-of-time-ordered correlation function (OTOC), where we denote theexpected behaviors in a chaotic quantum system.
Figure 1.3: On the left: evolution by a unitary operator, or more generally a channel,denoting the input and output subsystems
Figure 2.1: The 2-point spectral form factor for SYK with Ntemperature = 26 Majoranas at inverse β= 5, computed for 1000 random samples
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