Quantum trajectory approach to statistics of amplified and damped cavity fields
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Aalto-yliopiston teknillinen korkeakoulu |
Doctoral thesis (article-based)
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Authors
Date
2010
Major/Subject
Mcode
Degree programme
Language
en
Pages
xix, 68, [54] s. : kuv. ; 25 cm.
Series
Department of Biomedical Engineering and Computational Science publications.
A,
Report / Helsinki University of Technology,
26
Abstract
Analysis of quantum optical experiments and the simulation of optical devices require detailed quantum mechanical models, especially in the case of weak optical fields. In this thesis the quantum dynamics of cavity fields are investigated and new tools for modeling cavity fields interacting with an energy reservoir are developed. Using the quantum trajectory approach the field dynamics during photon detection processes are investigated. Two experimentally feasible detector models, the resolving and the non-resolving detector scheme, are derived and applied to single photon detection and coincidence photon detection experiments. Furthermore, equivalence of the cavity field model to the beam splitter based single photon subtraction and addition schemes is shown. In addition to the detection schemes described above, a reduced model for fields in a non-ideal cavity interacting with a dissipative and amplifying reservoir through multiple two state systems is derived. The reduced model can be used to describe e.g. light emitting diodes and lasers depending on the relative strengths of the losses and energy injection. In these cases the model reproduces fields that approach a thermal or a coherent field, respectively. The derived models can be applied to wide variety of cavity field experiments. The reduced field model can be applied to modeling the optical fields of semiconductor devices or to describe cavity field based quantum information processing experiments. Furthermore, fundamental quantum optics experiments of single photon addition, single photon subtraction, coincidence detection, and their combinations can be analyzed using the derived models.Description
Supervising professor
Tulkki, Jukka, Prof.Thesis advisor
Tulkki, Jukka, Prof.Keywords
dynamic cavity field model, photon detection, CQED
Other note
Parts
- [Publication 1]: Teppo Häyrynen, Jani Oksanen, and Jukka Tulkki. 2009. On the origin of divergences in the coincidence probabilities in cavity photodetection experiments. Journal of Physics B: Atomic, Molecular and Optical Physics, volume 42, number 14, 145506, 8 pages. © 2009 Institute of Physics Publishing (IOPP). By permission.
- [Publication 2]: T. Häyrynen, J. Oksanen, and J. Tulkki. 2009. Exact theory for photon subtraction for fields from quantum to classical limit. Europhysics Letters, volume 87, number 4, 44002, 5 pages. © 2009 Europhysics Letters Association (EPLA). By permission.
- [Publication 3]: T. Häyrynen, J. Oksanen, and J. Tulkki. 2010. Derivation of generalized quantum jump operators and comparison of the microscopic single photon detector models. The European Physical Journal D, volume 56, number 1, pages 113-121. © 2009 EDP Sciences and © 2009 Società Italiana di Fisica and © 2009 Springer Science+Business Media. By permission.
- [Publication 4]: Teppo Häyrynen, Jani Oksanen, and Jukka Tulkki. 2010. Unified quantum jump superoperator for optical fields from the weak- to the strong-coupling limit. Physical Review A, volume 81, number 6, 063804, 6 pages. © 2010 American Physical Society (APS). By permission.
- [Publication 5]: Teppo Häyrynen, Jani Oksanen, and Jukka Tulkki. Quantum trajectory model for photon detectors and optoelectronic devices. 17th CEWQO 2010 Topical issue of Physica Scripta, accepted for publication.
- [Publication 6]: Teppo Häyrynen, Jani Oksanen, and Jukka Tulkki. 2011. Dynamics of cavity fields with dissipative and amplifying couplings through multiple quantum two-state systems. Physical Review A, volume 83, number 1, 013801, 6 pages. © 2011 American Physical Society (APS). By permission.