Theory of few-photon quantum scattering in nanophotonic structures
Abstract/Contents
- Abstract
- The capability to create strong photon-photon interaction at a few-photon level in integrated photonic systems is of central importance for quantum information processing. To achieve such a capability, an important approach is to confine photons in a one-dimensional waveguide coupled to a local quantum system with strong nonlinearity. At a fundamental level, photon-photon interaction in such system is described by multi-photon scattering matrix (S matrix). In this thesis, we discuss both computational and conceptual aspects of multi-photon S matrix. For the computational aspect, we provide a systematical way to compute N-photon S matrix using the input-output formalism. The main result is a general connection between the N-photon S matrix and the Green functions of the local quantum system. Such computation can be generalized straightforwardly to the case of multiple waveguide channels to study the Fano interference in the presence of photon-photon interactions. For the conceptual aspect, we discuss the general structure of two-photon S matrix without explicit computation. Using techniques that are closely related to cluster decomposition principles in quantum field theory, we provide a general constraint on the analytic properties of the two-photon S matrix. Furthermore, we present a generalized form of the cluster decomposition principle. The two-photon S matrix, when the local quantum region supports multiple ground states, has an analytic structure that differs significantly from what is commonly anticipated.
Description
| Type of resource | text |
|---|---|
| Form | electronic; electronic resource; remote |
| Extent | 1 online resource. |
| Publication date | 2017 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Associated with | Xu, Shanshan |
|---|---|
| Associated with | Stanford University, Department of Physics. |
| Primary advisor | Fan, Shanhui, 1972- |
| Thesis advisor | Fan, Shanhui, 1972- |
| Thesis advisor | Brongersma, Mark L |
| Thesis advisor | Lev, Benjamin |
| Advisor | Brongersma, Mark L |
| Advisor | Lev, Benjamin |
Subjects
| Genre | Theses |
|---|
Bibliographic information
| Statement of responsibility | Shanshan Xu. |
|---|---|
| Note | Submitted to the Department of Physics. |
| Thesis | Thesis (Ph.D.)--Stanford University, 2017. |
| Location | electronic resource |
Access conditions
- Copyright
- © 2017 by Shanshan Xu
- License
- This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).
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