4 papers
From Symmetry to Structure: Gauge-Invariant Operators in Multi-Matrix Quantum Mechanics
Robert de Mello Koch, Minkyoo Kim, Hendrik J. R. Van Zyl
Recently the algebraic structure of gauge-invariant operators in multi-matrix quantum mechanics has been clarified: this space forms a module over a freely generated ring. The ring…
(A)Symmetric Complexity and the Quantum Mpemba Effect
Cameron Beetar, Jeff Murugan, Hendrik J. R. van Zyl
The Quantum Mpemba Effect (QME) -- the counter-intuitive phenomenon where states further from equilibrium can relax faster than those closer to it -- challenges standard expectatio…
Bosonic Fortuity in Vector Models
Robert de Mello Koch, Animik Ghosh, Hendrik J. R. Van Zyl
We investigate the space of gauge-invariant operators in coupled matrix-vector systems at finite , extending previous work on single matrix models. By using the Molien-We…
On Complexity and Duality
Jeff Murugan, Zayd Pandit, Hendrik J. R. van Zyl
We explore the relationship between complexity and duality in quantum systems, focusing on how local and non-local operators evolve under time evolution. We find that non-local ope…