skip to content
 

Non-Markovian and nonlinear quantum input-output response analysis

Presented by: 
J Zhang Tsinghua University
Date: 
Tuesday 5th August 2014 - 13:30 to 14:10
Venue: 
INI Seminar Room 1
Abstract: 
Co-authors: Yu-xi Liu (Tsinghua University), Rebing Wu (Tsinghua University), Kurt Jacobs (Boston University), Tzyh-Jong Tarn (Washington University in Saint Louis), Franco Nori (RIKEN)

Quantum input-output response analysis is a useful method for modeling the dynamics of complex quantum networks, such as those for communication or quantum control via cascade connections. Non-Markovian and nonlinear effects are expected to be important in networks realized using mesoscopic circuits. Here we first extend the Markovian input-output network formalism to non-Markovian networks, and apply it to various examples. Second, as an natural extension of the input-output formalism of Gardiner and Collet, we develop a new approach based on the so-called quantum Volterra series which can greatly reduce the computational complexity of nonlinear quantum input-output analysis. By this method, we can ignore the internal dynamics of the input-output system and attribute all the information we need to a series of scalar kernal functions. This method can be used to describe the quantum network with both nonlinear components and Bogoliubov components such as quantum amplifers whic h cannot be modelled by the existing methods such as Hudson-Parthasarathy model and quantum transfer function model.

The video for this talk should appear here if JavaScript is enabled.
If it doesn't, something may have gone wrong with our embedded player.
We'll get it fixed as soon as possible.
University of Cambridge Research Councils UK
    Clay Mathematics Institute The Leverhulme Trust London Mathematical Society Microsoft Research NM Rothschild and Sons