Complexity and Purity Over Time in Quantum Dynamics

Abstract: A quantum system's time-evolution usually combines internal, coherent dynamics with environmental noise. Combined dynamics may converge to mixed equilibria, reduce to classical determinism for long times, or maintain non-classicality. The first regime is well-explained in quantum Markov semigroup theory. The second is well-established in classical mechanics, though its emergence from quantum dynamics still yields mysteries. The third regime of persistent quantum complexity is a key goal, often proposed achievable through active error correction. I will present results on the capabilities for quantum quench dynamics to innately manifest non-classical complexities and maintain classical or quantum purity without intervention. Of particular interest are chaotic quantum systems and related conjectures about natural phenomena seeming to require non-classical capabilities.

HEP - theorymathematical physicsquantum physics

Audience: researchers in the topic

( video )

Purdue HET

Series comments: The recorded talks will be available on YouTube here: www.youtube.com/playlist?list=PLxU3vHZccQj64m9zsQR74D5WP1z1g4t1J