Quantum Chaos as a Resource for Quantum Control

Controlling chaos is a well-established technique that exploits the exponential sensitivity of classical chaotic systems for efficient control. This concept has been generalized to single-particle quantum systems [1,2] and, more recently, extended to bosonic many-body systems described by the Bose–Hubbard model [3]. In direct analogy to the classical paradigm, a localized quantum state can be transported along a specific trajectory of the semiclassical limit to reach a desired target state. Recent progress shows that even in the absence of a semiclassical limit, quantum chaos can be harnessed as a resource for quantum control, potentially enabling full state connectivity.

[1] S. Tomsovic, J. D. Urbina, and Klaus Richter, Controlling Quantum Chaos: Optimal Coherent Targeting, PRL 130.2 (2023): 020201

[2] S. Tomsovic, J. D. Urbina, and Klaus Richter, Controlling quantum chaos: Time-dependent kicked rotor, PRE 108 (2023): 044202

[3] L. Beringer, M. Steinhuber, J. D. Urbina, K. Richter, S. Tomsovic, Controlling many-body quantum chaos: Bose-Hubbard systems, New J. Phys (2024): 26 073002