2012/12/11 by P. Schindler, Philipp Schindler, M. Müller +15 · 232 citations
Computer Science · Physics and Astronomy · #Classical mechanics #Coherence (philosophical gambling strategy) #Context (archaeology) #Dissipative system #Dynamical systems theory #Neural Networks and Reservoir Computing #Open quantum system #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum chaos #Quantum dissipation #Quantum dynamics #Quantum mechanics #Quantum simulator #Statistical physics #cond-mat.quant-gas #quant-ph
paper · pdf · doi:10.1038/nphys2630
published in Nature Physics 9(6), 361-367 (Nature Portfolio) · 8 pages of main text containing 5 color figures, complemented by extensive and self-contained appendices
arxiv created 2012/12/11 · openalex publication_date 2013/05/17 · arxiv updated 2013/11/19 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Dynamical maps describe general transformations of the state of a physical system, and their iteration can be interpreted as generating a discrete time evolution. Prime examples include classical nonlinear systems undergoing transitions to chaos. Quantum mechanical counterparts show intriguing phenomena such as dynamical localization on the single particle level. Here we extend the concept of dynamical maps to an open-system, many-particle context: We experimentally explore the stroboscopic dynamics of a complex many-body spin model by means of a universal quantum simulator using up to five ions. In particular, we generate long-range phase coherence of spin by an iteration of purely dissipative quantum maps. We also demonstrate the characteristics of competition between combined coherent and dissipative non-equilibrium evolution. This opens the door for studying many-particle non-equilibrium physics and associated dynamical phase transitions with no immediate counterpart in equilibrium condensed matter systems. An error detection and reduction toolbox that facilitates the faithful quantum simulation of larger systems is developed as a first step in this direction.