Ideal Negative Measurements in Quantum Walks Disprove Theories Based on Classical Trajectories

We report on a stringent test of the nonclassicality of the motion of a massive quantum particle, which propagates on a discrete lattice. Measuring temporal correlations of the position of single atoms performing a quantum walk, we observe a 6σ violation of the Leggett-Garg inequality. Our results r...

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Main Authors: Carsten Robens, Wolfgang Alt, Dieter Meschede, Clive Emary, Andrea Alberti
Format: Article
Language:English
Published: American Physical Society 2015-01-01
Series:Physical Review X
Online Access:http://doi.org/10.1103/PhysRevX.5.011003
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author Carsten Robens
Wolfgang Alt
Dieter Meschede
Clive Emary
Andrea Alberti
author_facet Carsten Robens
Wolfgang Alt
Dieter Meschede
Clive Emary
Andrea Alberti
author_sort Carsten Robens
collection DOAJ
description We report on a stringent test of the nonclassicality of the motion of a massive quantum particle, which propagates on a discrete lattice. Measuring temporal correlations of the position of single atoms performing a quantum walk, we observe a 6σ violation of the Leggett-Garg inequality. Our results rigorously excludes (i.e., falsifies) any explanation of quantum transport based on classical, well-defined trajectories. We use so-called ideal negative measurements—an essential requisite for any genuine Leggett-Garg test—to acquire information about the atom’s position, yet avoiding any direct interaction with it. The interaction-free measurement is based on a novel atom transport system, which allows us to directly probe the absence rather than the presence of atoms at a chosen lattice site. Beyond the fundamental aspect of this test, we demonstrate the application of the Leggett-Garg correlation function as a witness of quantum superposition. Here, we employ the witness to discriminate different types of walks spanning from merely classical to wholly quantum dynamics.
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spelling doaj.art-a1d36a1c93c04cb9ba8bb5469bb83ae12022-12-21T20:11:04ZengAmerican Physical SocietyPhysical Review X2160-33082015-01-015101100310.1103/PhysRevX.5.011003Ideal Negative Measurements in Quantum Walks Disprove Theories Based on Classical TrajectoriesCarsten RobensWolfgang AltDieter MeschedeClive EmaryAndrea AlbertiWe report on a stringent test of the nonclassicality of the motion of a massive quantum particle, which propagates on a discrete lattice. Measuring temporal correlations of the position of single atoms performing a quantum walk, we observe a 6σ violation of the Leggett-Garg inequality. Our results rigorously excludes (i.e., falsifies) any explanation of quantum transport based on classical, well-defined trajectories. We use so-called ideal negative measurements—an essential requisite for any genuine Leggett-Garg test—to acquire information about the atom’s position, yet avoiding any direct interaction with it. The interaction-free measurement is based on a novel atom transport system, which allows us to directly probe the absence rather than the presence of atoms at a chosen lattice site. Beyond the fundamental aspect of this test, we demonstrate the application of the Leggett-Garg correlation function as a witness of quantum superposition. Here, we employ the witness to discriminate different types of walks spanning from merely classical to wholly quantum dynamics.http://doi.org/10.1103/PhysRevX.5.011003
spellingShingle Carsten Robens
Wolfgang Alt
Dieter Meschede
Clive Emary
Andrea Alberti
Ideal Negative Measurements in Quantum Walks Disprove Theories Based on Classical Trajectories
Physical Review X
title Ideal Negative Measurements in Quantum Walks Disprove Theories Based on Classical Trajectories
title_full Ideal Negative Measurements in Quantum Walks Disprove Theories Based on Classical Trajectories
title_fullStr Ideal Negative Measurements in Quantum Walks Disprove Theories Based on Classical Trajectories
title_full_unstemmed Ideal Negative Measurements in Quantum Walks Disprove Theories Based on Classical Trajectories
title_short Ideal Negative Measurements in Quantum Walks Disprove Theories Based on Classical Trajectories
title_sort ideal negative measurements in quantum walks disprove theories based on classical trajectories
url http://doi.org/10.1103/PhysRevX.5.011003
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AT cliveemary idealnegativemeasurementsinquantumwalksdisprovetheoriesbasedonclassicaltrajectories
AT andreaalberti idealnegativemeasurementsinquantumwalksdisprovetheoriesbasedonclassicaltrajectories