Bulletin of the American Physical Society
APS March Meeting 2018
Monday–Friday, March 5–9, 2018; Los Angeles, California
Session L27: Driven and Dissipative AMO Systems
11:15 AM–2:15 PM,
Wednesday, March 7, 2018
LACC Room: 404B
Sponsoring Unit: DAMOP DQI
Chair: Fernando Sols, Universidad Complutense de Madrid
Abstract: L27.00003 : Hybrid model reduction techniques for semiclassical dynamics with strong quantum features*
11:39 AM–11:51 AM
While quantum models for many-body dynamical systems quickly become intractable to numerically analyze, turning to naive semiclassicalization also precludes key features such as entanglement or non-Gaussianity. Often however, these features only manifest in a handful of degrees of freedom (e.g., strongly coupled atoms), while the remainder of the state remains close to some simple, low-dimensional manifold. We demonstrate a model reduction technique based on the formalism of , where a dynamic basis transformation using manifold coordinates can be used to reduce the complexity of the state, while retaining a full quantum description up to truncation. For concreteness, we apply this technique to a multi-atom cavity QED system, where a handful of atoms strongly couple to the cavity field amidst a background of many weakly coupled atoms. We show that the manifold coordinate evolution corresponds to Maxwell-Bloch dynamics, while the residual quantum state features Jaynes-Cummings physics.
 N. Tezak, N. H. Amini, and H. Mabuchi, arXiv:1704.05369 [Physical Review A (to be published)].
*This work has been supported by the NSF under award number PHY-1648807.
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