Quantum scrambling in a toy model of photodetectors
- URL: http://arxiv.org/abs/2208.14183v1
- Date: Tue, 30 Aug 2022 11:59:07 GMT
- Title: Quantum scrambling in a toy model of photodetectors
- Authors: Yubao Liu, Haixing Miao, Yanbei Chen, Yiqiu Ma
- Abstract summary: Quantum measurement involves the interaction between a quantum system and a macroscopic measurement apparatus containing many degrees of freedom.
In this paper, we study the quantum scrambling process in an effective toy model of photodetectors in three different physical scenarios.
- Score: 9.842140146649346
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Quantum measurement is a process that involves the interaction between a
quantum system and a macroscopic measurement apparatus containing many degrees
of freedom. The photodetector is such an apparatus with many electrons
interacting with the incoming quantum photon. Therefore the incoming photon
will spread and get scrambled in the photodetector, that is, the operator of
the initial incoming local photons will grow and becomes highly non-local
through the interaction process. Investigating this scrambling process in
detail is useful for understanding the interaction between the quantum system
and the measurement apparatus. In this paper, we study the quantum scrambling
process in an effective toy model of photodetectors in three different physical
scenarios, by numerically simulating the evolution of the out-of-time
correlators (OTOC). In particular, the integrability of the effective model is
explored through level spacing statistics, and the effect of the
spatially/temporarily distributed disorders on the system evolution is
carefully investigated using the OTOC. Looking into these detailed dynamical
processes paves the way to the quantum simulation and manipulation of
photondetector, which would provide insights into understanding the
wave-function collapse processes.
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