Corpus ID: 236493165

Adapted projection operator technique for the treatment of initial correlations

@inproceedings{Trevisan2021AdaptedPO,
  title={Adapted projection operator technique for the treatment of initial correlations},
  author={Andr{\'e} Trevisan and Andrea Smirne and Nina Megier and Bassano Vacchini},
  year={2021}
}
The standard theoretical descriptions of the dynamics of open quantum systems rely on the assumption that the correlations with the environment can be neglected at some reference (initial) time. While being reasonable in specific instances, such as when the coupling between the system and the environment is weak or when the interaction starts at a distinguished time, the use of initially uncorrelated states is questionable if one wants to deal with general models, taking into account the mutual… Expand
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References

SHOWING 1-10 OF 83 REFERENCES
The connection between time-local and time-nonlocal perturbation expansions
There exist two canonical approaches to describe open quantum systems by a time-evolution equation: the Nakajima-Zwanzig quantum master equation, featuring a time-nonlocal memory kernel K, and theExpand
The Mathematical Language of Quantum Theory
This book presents a clear and detailed exposition of the fundamental concepts of quantum theory: states, effects, observables, channels and instru- ments. It introduces several up-to-date topics,Expand
Coherent States
Coherent states (of the harmonic oscillator) were introduced by Erwin Schrödinger (1887-1961) at the very beginning of quantum mechanics in response to a complaint by Lorentz that Schrödinger’s waveExpand
Information backflow may not indicate quantum memory
TLDR
It is pointed out that the well-known criterion of information backflow may not correctly report character of the memory falsely signaling its quantumness, and several concepts of elementary dynamical maps are proposed, as a complement to theWell-known criteria. Expand
APPL
Statistical packages have been used for decades to analyze large datasets or to perform mathematically intractable statistical methods. These packages are not capable of working with random variablesExpand
“A and B”:
Direct fabrication of large micropatterned single crystals. p1205 21 Feb 2003. (news): Academy plucks best biophysicists from a sea of mediocrity. p994 14 Feb 2003.
Ann
Aaron Beck’s cognitive therapy model has been used repeatedly to treat depression and anxiety. The case presented here is a 34-year-old female law student with an adjustment disorder with mixedExpand
Phys
  • Rev. A 100, 042120
  • 2019
PRX Quantum 2
  • 010340
  • 2021
Phys
  • Rev. Lett. 127, 030401
  • 2021
...
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2
3
4
5
...