Research

I am interested in the effect of disorder on mathematical models of physics, particularly on those that describe quantum mechanical phenomena. 

Currently, I work on disordered open quantum systems. I study the theory of ergodic quantum processes (aka, repeated interaction quantum systems, aka, quantum collision models), which, mathematically, are certain linear cocycles with physically-relevant positivity properties. This formalism incorporates classical disorder into models of open quantum dynamics.

Preprints

• Reducibility Theory and Ergodic Theorems for Homogeneous Repeated Quantum Interactions, arxiv:2406.10982.
  with J. Schenker.

• Asymptotic Purification of Quantum Trajectories under Disordered Generalized Measurements, arXiv:2404.03168.  
  with E. Moreno-Nadales, L. Pathirana, & J. Schenker.

In preparation

• Spectral Properties and Mixing for Homogeneous Repeated Quantum Interactions, (in preparation).
  with J. Schenker.

• Ergodic Theorems for Quantum Trajectories under Disordered Generalized Measurements, (in preparation).
  with E. Moreno-Nadales & L. Pathirana.

My Google Scholar and my ORCiD.