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Quantum simulation of strongly correlated quantum matter is a challenging research topic with a wide range of applications across
various disciplines, including condensed matter physics, high-energy physics, nuclear physics, and quantum gravity.
In this presentation, we shall discuss cold-atom quantum simulation schemes and the thermalisation characteristics of strongly
correlated many-body systems that exhibit intriguing holographic and quantum chaotic properties.
In the beginning, we shall discuss our recent investigations of disordered, all-to-all interacting cold atomic systems in optical cavity
setups that have opened a gateway for the quantum simulation of such models. Then, we shall discuss the cavity QED implementation
of the Sachdev-Ye-Kitaev (SYK) model, which serves as the paradigmatic model for holographic quantum matter. We shall learn about
the model's intriguing out-of-equilibrium universal dynamics. Towards this, our general theoretical methodology reveals that the disorder
-averaged unitary evolution can effectively be described by a Lindbladian evolution. Furthermore, we shall understand the eigenstate
thermalisation hypothesis in non-Hermitian quantum systems by considering the non-Hermitian incarnation of the SYK model as a testbed.
At the end, we shall briefly discuss how quantum chaos can be used as a resource for quantum state designs, also known as deep
thermalisation in many-body quantum systems. |