Higher-order interference between multiple quantum particles interacting nonlinearly

The double-slit experiment is the most direct demonstration of interference between individual quantum objects. Since similar experiments with single particles and more slits produce interference fringes reducible to a combination of double-slit patterns, it is usually argued that quantum interferen...

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Main Authors: Rozema, Lee A., Zhuo, Zhao, Paterek, Tomasz, Dakić, Borivoje
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2021
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Online Access:https://hdl.handle.net/10356/151089
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-1510892023-02-28T19:51:46Z Higher-order interference between multiple quantum particles interacting nonlinearly Rozema, Lee A. Zhuo, Zhao Paterek, Tomasz Dakić, Borivoje School of Physical and Mathematical Sciences MajuLab @ NTU Science::Physics Optical Quantum Information Processing Optical Tests of Quantum Theory The double-slit experiment is the most direct demonstration of interference between individual quantum objects. Since similar experiments with single particles and more slits produce interference fringes reducible to a combination of double-slit patterns, it is usually argued that quantum interference occurs between pairs of trajectories, compactly denoted as second-order interference. Here we show that quantum mechanics in fact allows for interference of arbitrarily high order. This occurs naturally when one considers multiple quantum objects interacting in the presence of a nonlinearity, both of which are required to observe higher-order interference. We make this clear by treating a generalized multislit interferometer using second quantization. We then present explicit experimentally relevant examples both with photons interacting in nonlinear media and an interfering Bose-Einstein condensate with particle-particle interactions. These examples are all perfectly described by quantum theory, and yet exhibit higher-order interference based on multiple particles interacting nonlinearly. Published version We thank M. Radonjić and Č. Brukner for useful discussions. L.A.R. acknowledges support from the Templeton World Charity Foundation (fellowship No. TWCF0194) and the Austrian Science Fund (FWF) through BeyondC (BeyondC-F7113). T.P. is supported by the Polish National Agency for Academic Exchange NAWA Project No. PPN/PPO/2018/1/00007/U/00001. B.D. acknowledges support from an ESQ Discovery Grant of the Austrian Academy of Sciences (OAW) and the Austrian Science Fund (FWF) through BeyondC (BeyondC-F7112). 2021-06-28T08:04:25Z 2021-06-28T08:04:25Z 2021 Journal Article Rozema, L. A., Zhuo, Z., Paterek, T. & Dakić, B. (2021). Higher-order interference between multiple quantum particles interacting nonlinearly. Physical Review A, 103(5), 052204-. https://dx.doi.org/10.1103/PhysRevA.103.052204 2469-9926 https://hdl.handle.net/10356/151089 10.1103/PhysRevA.103.052204 2-s2.0-85105614597 5 103 052204 en Physical Review A © 2021 American Physical Society (APS). All rights reserved. This paper was published in Physical Review A and is made available with permission of American Physical Society (APS). application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Science::Physics
Optical Quantum Information Processing
Optical Tests of Quantum Theory
spellingShingle Science::Physics
Optical Quantum Information Processing
Optical Tests of Quantum Theory
Rozema, Lee A.
Zhuo, Zhao
Paterek, Tomasz
Dakić, Borivoje
Higher-order interference between multiple quantum particles interacting nonlinearly
description The double-slit experiment is the most direct demonstration of interference between individual quantum objects. Since similar experiments with single particles and more slits produce interference fringes reducible to a combination of double-slit patterns, it is usually argued that quantum interference occurs between pairs of trajectories, compactly denoted as second-order interference. Here we show that quantum mechanics in fact allows for interference of arbitrarily high order. This occurs naturally when one considers multiple quantum objects interacting in the presence of a nonlinearity, both of which are required to observe higher-order interference. We make this clear by treating a generalized multislit interferometer using second quantization. We then present explicit experimentally relevant examples both with photons interacting in nonlinear media and an interfering Bose-Einstein condensate with particle-particle interactions. These examples are all perfectly described by quantum theory, and yet exhibit higher-order interference based on multiple particles interacting nonlinearly.
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Rozema, Lee A.
Zhuo, Zhao
Paterek, Tomasz
Dakić, Borivoje
format Article
author Rozema, Lee A.
Zhuo, Zhao
Paterek, Tomasz
Dakić, Borivoje
author_sort Rozema, Lee A.
title Higher-order interference between multiple quantum particles interacting nonlinearly
title_short Higher-order interference between multiple quantum particles interacting nonlinearly
title_full Higher-order interference between multiple quantum particles interacting nonlinearly
title_fullStr Higher-order interference between multiple quantum particles interacting nonlinearly
title_full_unstemmed Higher-order interference between multiple quantum particles interacting nonlinearly
title_sort higher-order interference between multiple quantum particles interacting nonlinearly
publishDate 2021
url https://hdl.handle.net/10356/151089
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