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Open Quantum Systems Decoherence Quantum Simulation

A Solvable Model for Decoupling of Interacting Clusters

arXiv
Authors: Artem G. Volosniev, Aksel S. Jensen, Nathan L. Harshman, Jeremy R. Armstrong, Nikolaj T. Zinner

Year

2018

Paper ID

23842

Status

Preprint

Abstract Read

~2 min

Abstract Words

113

Citations

N/A

Abstract

We consider M clusters of interacting particles, whose in-group interactions are arbitrary, and inter-group interactions are approximated by oscillator potentials. We show that there are masses and frequencies that decouple the in-group and inter-group degrees of freedom, which reduces the initial problem to M independent problems that describe each of the relative in-group systems. The dynamics of the M center-of-mass coordinates is described by the analytically solvable problem of M coupled harmonic oscillators. This paper derives and discusses these decoupling conditions. Furthermore, to illustrate our findings, we consider a charged impurity interacting with a ring of ions. We argue that the impurity can be used to probe the center-of-mass dynamics of the ions.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • We consider M clusters of interacting particles, whose in-group interactions are arbitrary, and inter-group interactions are approximated by oscillator potentials.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1810.10281 [2] arXiv https://arxiv.org/abs/1810.10281 [3] Publisher https://arxiv.org/abs/1810.10281

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