Quantum Control      

My main interests in the theory of control of quantum dynamical systems relate to the questions of measurement backaction, analogy with classical control theory, the formulation and solution of the associated stochastic partial differential equations, and applications to experiments, in particular, to cavity QED and quantum nanomechanical devices. I am involved with several people in studying these problems, notably Andrew Doherty (Queensland), John Doyle (Caltech), Asa Hopkins (Caltech), Kurt Jacobs (Griffith), Hideo Mabuchi (Caltech), Keith Schwab (LPS), Daniel Stteck (Oregon), and my LANL colleague Tanmoy Bhattacharya. These activities were supported under the T-Division QUEST initiative (now ended) which included developing collaborations with MIT, UC Santa Barbara, and UT Austin. For more on this topic, see the description of our project on Quantum Feedback Control.

Links are to the Los Alamos eprint server:

1. Feedback Cooling of Atomic Motion in Cavity QED, Daniel A. Steck, Kurt Jacobs, Hideo Mabuchi, Salman Habib, and Tanmoy Bhattacharya, Phys. Rev. A 74, 012322 (2006) quant-ph/0509039
2. Quantum Feedback Control of Atomic Motion in an Optical Cavity, Daniel A. Steck, Kurt Jacobs, Hideo Mabuchi, Tanmoy Bhattacharya, and Salman Habib, Phys. Rev. Lett. 92, 223004 (2004) quant-ph/0310153
3. Feedback Cooling of a Nanomechanical Resonator, Asa Hopkins, Kurt Jacobs, Salman Habib, and Keith Schwab, Phys. Rev. B 68, 235328 (2003) cond-mat/0302529
4. Quantum Feedback Control - How Can We Control Quantum Systems without Disturbing Them?, Salman Habib, Kurt Jacobs, and Hideo Mabuchi, Los Alamos Science 27, 126 (2002)
5. Robust Control in the Quantum Domain, Andrew Doherty, John Doyle, Hideo Mabuchi, Kurt Jacobs, and Salman Habib, Proceedings, 39th IEEE Conference on Decision and Control (Sydney, December 2000) quant-ph/0105018
6. Quantum Feedback Control and Classical Control Theory, Andrew C. Doherty, Salman Habib, Kurt Jacobs, Hideo Mabuchi, and Sze M. Tan, Phys. Rev. A 62, 012105 (2000) quant-ph/9912107

T-Division Research Highlights for 2005: Quantum Feedback in Cavity QED and Quantum Nanomechanics [PDF].

Salman Habib / LANL / revised March 2005