Many-body quantum interference on hypercubes

Christoph Dittel

doi:10.1088/2058-9565/aa540c

2017-02-06

Christoph Dittel *

Robert Keil

Gregor Weihs

DOI：10.1088/2058-9565/aa540c

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摘要

En 中文

Beyond the regime of distinguishable particles, many-body quantum interferences influence quantum transport in an intricate manner. However, symmetries of the single-particle transformation matrix alleviate this complexity and even allow the analytic formulation of suppression laws, which predict final states to occur with a vanishing probability due to total destructive interference. Here we investigate the symmetries of hypercube graphs and their generalisations with arbitrary identical subgraphs on all vertices. Wefind that initial many-particle states, which are invariant under selfinverse symmetries of the hypercube, lead to a large number of suppressed final states. The condition for suppression is determined solely by the initial symmetry, while the fraction of suppressed states is given by the number of independent symmetries of the initial state. Our findings reveal new insights into particle statistics for ensembles of indistinguishable bosons and fermions and may represent a first step towards many-particle quantum protocols in higher-dimensional structures.

Keyword:

many-body interference

particle statistics

suppression law

hypercube

quantum transport

higher-dimensional graphs

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Quantum Science and Technology

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1.4K

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University of Innsbruck

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被引数: 8

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