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Input-output formalism for few-photon transport in one-dimensional nanophotonic waveguides coupled to a qubit
| Content Provider | Semantic Scholar |
|---|---|
| Author | Fan, Shanhui Kocabaş, Şükrü Ekin Shen, Ze Xiang |
| Copyright Year | 2010 |
| Abstract | In the context of quantum information technology, including quantum computing devices, understanding the interaction between a few-photon state and a two-level atom plays an important role [1–3]. The photons are a possible candidate for the “flying qubit” that carries the information, and the two-level atom constitutes the “stationary qubit,” where the flying qubits are generated on demand and correlated with each other. Recently, there has been an increased activity in analyzing the properties of photons propagating in a waveguide coupled to a qubit—a two-level quantum mechanical system. Experimental demonstration of the control of single photons was made in a waveguide coupled to an optical cavity with an atom in its near field [4]. Similar effects were observed in the microwave domain, when low-frequency photons in a transmission line were coupled to a superconducting qubit [5,6], which later was shown to act as a photon amplifier [7]. To theoretically model such systems one needs to consider a continuous set of waveguide modes that are free to propagate in one dimension, either directly coupled to a multilevel system (referred to as an “atom” in the present article), or indirectly coupled through an optical cavity with a discrete set of modes. Photon transport properties are nontrivial in these structures [8–11], which can be tailored to perform logic operations [12] or form a diode [13]. Exact solutions of oneand two-photon scattering have been reported in [9,11]. The most widely used theoretical approach is to treat the set of equations in the Schrödinger picture and apply the Lippmann-Schwinger formalism to calculate the reflection and transmission properties of the single and multiphoton states [10,14–17]. An alternative technique is to use the reduction formulas from field theory to calculate the scattering matrix of the system [18,19]. Time-domain simulations that take the waveguide dispersion into account are also possible, and an interesting radiation trapping mechanism was recently predicted [20]. In this article, we extend the input-output formalism [21,22] of quantum optics—a Heisenberg picture approach originally introduced to analyze the interaction between an atom in a cavity and a continuous set of electromagnetic states outside |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://web.stanford.edu/group/fan/publication/Fan_PRA_82_063821_2010.pdf |
| Alternate Webpage(s) | https://kocabas.gitlab.io/publications/Fan2010.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Amplifier Atom Automatic calculation of particle interaction or decay Body cavities Computation (action) Diode Device Component HL7PublishingSubSection |
| Content Type | Text |
| Resource Type | Article |
