Next Article in Journal
Graphene Oxide and Reduced Graphene Oxide Nanoflakes Coated with Glycol Chitosan, Propylene Glycol Alginate, and Polydopamine: Characterization and Cytotoxicity in Human Chondrocytes
Next Article in Special Issue
Optical Efficiency Enhancement of Nanojet-Based Dielectric Double-Material Color Splitters for Image Sensor Applications
Previous Article in Journal
Sintering-Based In-Situ Synthesis and Characterization by TEM of Noble Metal Nanoparticles for Ceramic Glaze Color Control
Previous Article in Special Issue
Efficient Biexciton Preparation in a Quantum Dot—Metal Nanoparticle System Using On-Off Pulses
 
 
Article

Accurate Truncations of Chain Mapping Models for Open Quantum Systems

Departamento de Física Teórica de la Materia Condensada and Condensed Matter Physics Center (IFIMAC), Universidad Autónoma de Madrid, E-28049 Madrid, Spain
*
Author to whom correspondence should be addressed.
Academic Editor: Sotirios Baskoutas
Nanomaterials 2021, 11(8), 2104; https://doi.org/10.3390/nano11082104
Received: 29 July 2021 / Revised: 16 August 2021 / Accepted: 17 August 2021 / Published: 19 August 2021
The dynamics of open quantum systems are of great interest in many research fields, such as for the interaction of a quantum emitter with the electromagnetic modes of a nanophotonic structure. A powerful approach for treating such setups in the non-Markovian limit is given by the chain mapping where an arbitrary environment can be transformed to a chain of modes with only nearest-neighbor coupling. However, when long propagation times are desired, the required long chain lengths limit the utility of this approach. We study various approaches for truncating the chains at manageable lengths while still preserving an accurate description of the dynamics. We achieve this by introducing losses to the chain modes in such a way that the effective environment acting on the system remains unchanged, using a number of different strategies. Furthermore, we demonstrate that extending the chain mapping to allow next-nearest neighbor coupling permits the reproduction of an arbitrary environment, and adding longer-range interactions does not further increase the effective number of degrees of freedom in the environment. View Full-Text
Keywords: nanophotonics; quantum dissipation; chain mapping; non-Markovian dynamics; spectral density; harmonic oscillators nanophotonics; quantum dissipation; chain mapping; non-Markovian dynamics; spectral density; harmonic oscillators
Show Figures

Figure 1

MDPI and ACS Style

Sánchez-Barquilla, M.; Feist, J. Accurate Truncations of Chain Mapping Models for Open Quantum Systems. Nanomaterials 2021, 11, 2104. https://doi.org/10.3390/nano11082104

AMA Style

Sánchez-Barquilla M, Feist J. Accurate Truncations of Chain Mapping Models for Open Quantum Systems. Nanomaterials. 2021; 11(8):2104. https://doi.org/10.3390/nano11082104

Chicago/Turabian Style

Sánchez-Barquilla, Mónica, and Johannes Feist. 2021. "Accurate Truncations of Chain Mapping Models for Open Quantum Systems" Nanomaterials 11, no. 8: 2104. https://doi.org/10.3390/nano11082104

Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop