# Trapped modes in linear quantum stochastic networks with delays

@article{Tabak2015TrappedMI, title={Trapped modes in linear quantum stochastic networks with delays}, author={Gil Tabak and Hideo Mabuchi}, journal={EPJ Quantum Technology}, year={2015}, volume={3}, pages={1-28} }

Networks of open quantum systems with feedback have become an active area of research for applications such as quantum control, quantum communication and coherent information processing. A canonical formalism for the interconnection of open quantum systems using quantum stochastic differential equations (QSDEs) has been developed by Gough, James and co-workers and has been used to develop practical modeling approaches for complex quantum optical, microwave and optomechanical circuits/networks…

## 11 Citations

### The SLH framework for modeling quantum input-output networks

- Physics
- 2016

The SLH framework is reviewed, a powerful modeling framework for networked quantum systems that is naturally endowed with properties such as modularity and hierarchy, and the prospects for modeling integrated implementations of quantum input-output networks are discussed.

### Factorization of Linear Quantum Systems with Delayed Feedback

- Mathematics, Computer Science
- 2018

We consider the transfer functions describing the input-output relation for a class of linear open quantum systems involving feedback with nonzero time delays. We show how such transfer functions can…

### Coherent LQG Control, Free-Carrier Oscillations, Optical Ising Machines and Pulsed OPO Dynamics

- Physics
- 2016

Broadly speaking, this thesis is about nonlinear optics, quantum mechanics, and computing. More specifically, it covers four main topics: Coherent LQG Control, Free-Carrier Oscillations, Optical…

### Exciting a Bound State in the Continuum through Multiphoton Scattering Plus Delayed Quantum Feedback.

- PhysicsPhysical review letters
- 2019

This work shows, in particular, that single-photon trapping via multiphoton scattering can occur without band edge effects or cavities, the essential resource being instead the delayed quantum feedback provided by a single mirror or the emitters themselves.

### An Engineer's Brief Introduction to Microwave Quantum Optics and a Single-Port State-Space Representation

- PhysicsIEEE Transactions on Quantum Engineering
- 2021

The method was derived directly from first principles of QION to include a state-space representation and a transfer function for a single port quantum network and serves as a case study to highlight how microwave methodologies can be applied in open quantum systems.

### The Stratonovich formulation of quantum feedback network rules

- Physics
- 2016

We express the rules for forming quantum feedback networks using the Stratonovich form of quantum stochastic calculus rather than the Itō or SLH (J. E. Gough and M. R. James, “Quantum feedback…

### Generating nonclassical states of motion using spontaneous emission

- PhysicsNew Journal of Physics
- 2018

Nonclassical motional states of matter are of interest both from a fundamental perspective but also for their potential technological applications as resources in various quantum processing tasks…

### Enhancing a slow and weak optomechanical nonlinearity with delayed quantum feedback

- PhysicsNature communications
- 2017

This work proposes a protocol that allows photons propagating in a waveguide to interact with each other through multiple bounces off an optomechanical system, illustrating that large photon–photon interactions mediated by mechanical motion may be within experimental reach.

### Quantum stabilization of microcavity excitation in a coupled microcavity–half-cavity system

- PhysicsPhysical Review B
- 2020

We analyze the quantum dynamics of a two-level emitter in a resonant microcavity with optical feedback provided by a distant mirror (i.e., a half cavity) with a focus on stabilizing the…

### Quantum Non-Markovian Collision Models from Colored-Noise Baths

- PhysicsSpringer Proceedings in Physics
- 2019

A quantum collision model (CM), also known as repeated interactions model, can be built from the standard microscopic framework where a system S is coupled to a white-noise bosonic bath under the…

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