Open-system many-body dynamics through interferometric measurements and feedback

authored by: Jonas Lammers, Hendrik Weimer, Klemens Hammerer
Abstract: Light-matter interfaces enable the generation of entangled states of light and matter which can be exploited to steer the quantum state of matter through measurement of light and feedback. Here we consider continuous-time, interferometric homodyne measurements of light on an array of light-matter interfaces followed by local feedback acting on each material system individually. While the systems are physically noninteracting, the feedback master equation we derive describes driven-dissipative, interacting many-body quantum dynamics, and comprises pairwise Hamiltonian interactions and collective jump operators. We characterize the general class of driven-dissipative many-body systems which can be engineered in this way, and derive necessary conditions on models supporting nontrivial quantum dynamics beyond what can be generated by local operations and classical communication. We provide specific examples of models which allow for the creation of stationary many-particle entanglement, and the emulation of dissipative Ising models. Since the interaction between the systems is mediated via feedback only, there is no intrinsic limit on the range or geometry of the interaction, making the scheme quite versatile.
Organisation(s): Institute of Theoretical Physics
Institute of Gravitation Physics
CRC 1227 Designed Quantum States of Matter (DQ-mat)
Type: Article
Journal: Physical Review A
Volume: 94
ISSN: 2469-9926
Publication date: 17.11.2016
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Atomic and Molecular Physics, and Optics
Electronic version(s): https://doi.org/10.1103/PhysRevA.94.052120 (Access: Unknown)

BibTeX

@article{2da82b2b88e044f1a304022715fad359,
title = "Open-system many-body dynamics through interferometric measurements and feedback",
abstract = "Light-matter interfaces enable the generation of entangled states of light and matter which can be exploited to steer the quantum state of matter through measurement of light and feedback. Here we consider continuous-time, interferometric homodyne measurements of light on an array of light-matter interfaces followed by local feedback acting on each material system individually. While the systems are physically noninteracting, the feedback master equation we derive describes driven-dissipative, interacting many-body quantum dynamics, and comprises pairwise Hamiltonian interactions and collective jump operators. We characterize the general class of driven-dissipative many-body systems which can be engineered in this way, and derive necessary conditions on models supporting nontrivial quantum dynamics beyond what can be generated by local operations and classical communication. We provide specific examples of models which allow for the creation of stationary many-particle entanglement, and the emulation of dissipative Ising models. Since the interaction between the systems is mediated via feedback only, there is no intrinsic limit on the range or geometry of the interaction, making the scheme quite versatile.",
author = "Jonas Lammers and Hendrik Weimer and Klemens Hammerer",
note = "Funding information: We thank Sebastian Hofer for discussions. We acknowledge support from DFG through SFB 1227 (DQ-mat), from the European Commission through FET-Open Project iQUOEMS, and from the Volkswagen Foundation.",
year = "2016",
month = nov,
day = "17",
doi = "10.1103/PhysRevA.94.052120",
language = "English",
volume = "94",
journal = "Physical Review A",
issn = "2469-9926",
publisher = "American Physical Society",
number = "5",
}