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SUMMARY:Non-Markovian and nonlinear quantum input-output response analysis
  - Zhang\, J (Tsinghua University)
DTSTART:20140805T123000Z
DTEND:20140805T131000Z
UID:TALK53608@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Co-authors: Yu-xi Liu (Tsinghua University)\, Rebing Wu (Tsing
 hua University)\, Kurt Jacobs (Boston University)\, Tzyh-Jong Tarn (Washin
 gton University in Saint Louis)\, Franco Nori (RIKEN) \n\nQuantum input-ou
 tput response analysis is a useful method for modeling the dynamics of com
 plex 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 f
 irst extend the Markovian input-output network formalism to non-Markovian 
 networks\, and apply it to various examples. Second\, as an natural extens
 ion of the input-output formalism of Gardiner and Collet\, we develop a ne
 w approach based on the so-called quantum Volterra series which can greatl
 y reduce the computational complexity of nonlinear quantum input-output an
 alysis. 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 sca
 lar kernal functions. This method can be used to describe the quantum netw
 ork with both nonlinear components and Bogoliubov components such as quant
 um amplifers whic h cannot be modelled by the existing methods such as Hud
 son-Parthasarathy model and quantum transfer function model.\n
LOCATION:Seminar Room 1\, Newton Institute
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