Quantum Simulation of Generic Many-Body Open System Dynamics Using Classical Noise

We introduce a scheme for the quantum simulation of many-body decoherence based on the unitary evolution of a stochastic Hamiltonian. Modulating the strength of the interactions with stochastic processes, we show that the noise-averaged density matrix simulates an effectively open dynamics governed...

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Main Authors: Beau, M., del Campo, A., Chenu, Aurelia, Cao, Jianshu
Other Authors: Massachusetts Institute of Technology. Department of Chemistry
Format: Article
Language:English
Published: American Physical Society 2017
Online Access:http://hdl.handle.net/1721.1/107906
https://orcid.org/0000-0001-7616-7809
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author Beau, M.
del Campo, A.
Chenu, Aurelia
Cao, Jianshu
author2 Massachusetts Institute of Technology. Department of Chemistry
author_facet Massachusetts Institute of Technology. Department of Chemistry
Beau, M.
del Campo, A.
Chenu, Aurelia
Cao, Jianshu
author_sort Beau, M.
collection MIT
description We introduce a scheme for the quantum simulation of many-body decoherence based on the unitary evolution of a stochastic Hamiltonian. Modulating the strength of the interactions with stochastic processes, we show that the noise-averaged density matrix simulates an effectively open dynamics governed by k-body Lindblad operators. Markovian dynamics can be accessed with white-noise fluctuations; non-Markovian dynamics requires colored noise. The time scale governing the fidelity decay under many-body decoherence is shown to scale as N[superscript -2k] with the system size N. Our proposal can be readily implemented in a variety of quantum platforms including optical lattices, superconducting circuits, and trapped ions.
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spelling mit-1721.1/1079062022-09-23T13:28:05Z Quantum Simulation of Generic Many-Body Open System Dynamics Using Classical Noise Beau, M. del Campo, A. Chenu, Aurelia Cao, Jianshu Massachusetts Institute of Technology. Department of Chemistry Chenu, Aurelia Cao, Jianshu We introduce a scheme for the quantum simulation of many-body decoherence based on the unitary evolution of a stochastic Hamiltonian. Modulating the strength of the interactions with stochastic processes, we show that the noise-averaged density matrix simulates an effectively open dynamics governed by k-body Lindblad operators. Markovian dynamics can be accessed with white-noise fluctuations; non-Markovian dynamics requires colored noise. The time scale governing the fidelity decay under many-body decoherence is shown to scale as N[superscript -2k] with the system size N. Our proposal can be readily implemented in a variety of quantum platforms including optical lattices, superconducting circuits, and trapped ions. University of Massachusetts at Boston (Project P20150000029279) Templeton Foundation Swiss National Science Foundation National Science Foundation (U.S.) (Grant CHE-1112825) 2017-04-06T18:44:18Z 2017-04-06T18:44:18Z 2017-04 2016-08 2017-04-05T22:00:02Z Article http://purl.org/eprint/type/JournalArticle 0031-9007 1079-7114 http://hdl.handle.net/1721.1/107906 Chenu, A. et al. “Quantum Simulation of Generic Many-Body Open System Dynamics Using Classical Noise.” Physical Review Letters 118.14 (2017): n. pag. © 2017 American Physical Society https://orcid.org/0000-0001-7616-7809 en http://dx.doi.org/10.1103/PhysRevLett.118.140403 Physical Review Letters Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. American Physical Society application/pdf American Physical Society American Physical Society
spellingShingle Beau, M.
del Campo, A.
Chenu, Aurelia
Cao, Jianshu
Quantum Simulation of Generic Many-Body Open System Dynamics Using Classical Noise
title Quantum Simulation of Generic Many-Body Open System Dynamics Using Classical Noise
title_full Quantum Simulation of Generic Many-Body Open System Dynamics Using Classical Noise
title_fullStr Quantum Simulation of Generic Many-Body Open System Dynamics Using Classical Noise
title_full_unstemmed Quantum Simulation of Generic Many-Body Open System Dynamics Using Classical Noise
title_short Quantum Simulation of Generic Many-Body Open System Dynamics Using Classical Noise
title_sort quantum simulation of generic many body open system dynamics using classical noise
url http://hdl.handle.net/1721.1/107906
https://orcid.org/0000-0001-7616-7809
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