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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American Physical Society
2017
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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. |
first_indexed | 2024-09-23T08:38:05Z |
format | Article |
id | mit-1721.1/107906 |
institution | Massachusetts Institute of Technology |
language | English |
last_indexed | 2024-09-23T08:38:05Z |
publishDate | 2017 |
publisher | American Physical Society |
record_format | dspace |
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 |
work_keys_str_mv | AT beaum quantumsimulationofgenericmanybodyopensystemdynamicsusingclassicalnoise AT delcampoa quantumsimulationofgenericmanybodyopensystemdynamicsusingclassicalnoise AT chenuaurelia quantumsimulationofgenericmanybodyopensystemdynamicsusingclassicalnoise AT caojianshu quantumsimulationofgenericmanybodyopensystemdynamicsusingclassicalnoise |