Quantum simulation of dynamical maps with trapped ions
By Philipp Schindler, Markus Müller, Daniel Nigg, J. Barreiro, E. Martinez, M. Hennrich, Thomas Monz, S. Diehl, Peter Zoller, Rainer Blatt. Nature Physics, 2012
186 citations recorded by the source corpus.
Dynamical maps describe general transformations of the state of a physical system—their iteration 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 a many-particle context, where the time evolution involves both coherent and dissipative elements: we experimentally explore the stroboscopic dynamics of a complex many-body spin model with a universal trapped ion quantum simulator. We generate long-range phase coherence of spin by an iteration of purely dissipative quantum maps and demonstrate the characteristics of competition between combined coherent and dissipative non-equilibrium evolution—the hallmark of a previously unobserved dynamical phase transition. We assess the influence of experimental errors in the quantum simulation and tackle this problem by developing an efficient error detection and reduction toolbox based on quantum feedback. Dynamical maps are well known in the context of classical nonlinear dynamics and chaos theory. A trapped-ion quantum simulator can be used to study the generalized version of dynamical maps for many-body dissipative quantum systems.
Subfields: Artificial Intelligence
View Paper: https://www.semanticscholar.org/paper/c78cae76e7b2d3b188e7478309cf9de63f40f322
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Citations in the corpus
- Quantum trajectories and open many-body quantum systems (2014, methodology): “Recent experiments have made use of this extreme control to demonstrate combinations of coherent and dissipative maps in digital quantum simulation [168, 169].”
- Geometry of quantum phase transitions (2019, unknown): “Examples of suitable experimental platforms for the implementation and simulation of such an open many-body framework range from ultra-cold atoms in optical lattices [124, 364], to ion traps [365, 366], to cavity microarrays [367, 368, 369, 370, 371, 372, 143] and Rydberg atoms [373, 374].”