Quantum Kibble–Zurek mechanism and critical dynamics on a programmable Rydberg simulator

© 2019, The Author(s), under exclusive licence to Springer Nature Limited. Quantum phase transitions (QPTs) involve transformations between different states of matter that are driven by quantum fluctuations1. These fluctuations play a dominant part in the quantum critical region surrounding the tran...

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Main Authors: Keesling, Alexander, Omran, Ahmed, Levine, Harry, Bernien, Hannes, Pichler, Hannes, Choi, Soonwon, Samajdar, Rhine, Schwartz, Sylvain, Silvi, Pietro, Sachdev, Subir, Zoller, Peter, Endres, Manuel, Greiner, Markus, Vuletić, Vladan, Lukin, Mikhail D
Format: Article
Language:English
Published: Springer Science and Business Media LLC 2021
Online Access:https://hdl.handle.net/1721.1/135548
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author Keesling, Alexander
Omran, Ahmed
Levine, Harry
Bernien, Hannes
Pichler, Hannes
Choi, Soonwon
Samajdar, Rhine
Schwartz, Sylvain
Silvi, Pietro
Sachdev, Subir
Zoller, Peter
Endres, Manuel
Greiner, Markus
Vuletić, Vladan
Lukin, Mikhail D
author_facet Keesling, Alexander
Omran, Ahmed
Levine, Harry
Bernien, Hannes
Pichler, Hannes
Choi, Soonwon
Samajdar, Rhine
Schwartz, Sylvain
Silvi, Pietro
Sachdev, Subir
Zoller, Peter
Endres, Manuel
Greiner, Markus
Vuletić, Vladan
Lukin, Mikhail D
author_sort Keesling, Alexander
collection MIT
description © 2019, The Author(s), under exclusive licence to Springer Nature Limited. Quantum phase transitions (QPTs) involve transformations between different states of matter that are driven by quantum fluctuations1. These fluctuations play a dominant part in the quantum critical region surrounding the transition point, where the dynamics is governed by the universal properties associated with the QPT. Although time-dependent phenomena associated with classical, thermally driven phase transitions have been extensively studied in systems ranging from the early Universe to Bose–Einstein condensates2–5, understanding critical real-time dynamics in isolated, non-equilibrium quantum systems remains a challenge6. Here we use a Rydberg atom quantum simulator with programmable interactions to study the quantum critical dynamics associated with several distinct QPTs. By studying the growth of spatial correlations when crossing the QPT, we experimentally verify the quantum Kibble–Zurek mechanism (QKZM)7–9 for an Ising-type QPT, explore scaling universality and observe corrections beyond QKZM predictions. This approach is subsequently used to measure the critical exponents associated with chiral clock models10,11, providing new insights into exotic systems that were not previously understood and opening the door to precision studies of critical phenomena, simulations of lattice gauge theories12,13 and applications to quantum optimization14,15.
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spelling mit-1721.1/1355482022-03-31T14:23:08Z Quantum Kibble–Zurek mechanism and critical dynamics on a programmable Rydberg simulator Keesling, Alexander Omran, Ahmed Levine, Harry Bernien, Hannes Pichler, Hannes Choi, Soonwon Samajdar, Rhine Schwartz, Sylvain Silvi, Pietro Sachdev, Subir Zoller, Peter Endres, Manuel Greiner, Markus Vuletić, Vladan Lukin, Mikhail D © 2019, The Author(s), under exclusive licence to Springer Nature Limited. Quantum phase transitions (QPTs) involve transformations between different states of matter that are driven by quantum fluctuations1. These fluctuations play a dominant part in the quantum critical region surrounding the transition point, where the dynamics is governed by the universal properties associated with the QPT. Although time-dependent phenomena associated with classical, thermally driven phase transitions have been extensively studied in systems ranging from the early Universe to Bose–Einstein condensates2–5, understanding critical real-time dynamics in isolated, non-equilibrium quantum systems remains a challenge6. Here we use a Rydberg atom quantum simulator with programmable interactions to study the quantum critical dynamics associated with several distinct QPTs. By studying the growth of spatial correlations when crossing the QPT, we experimentally verify the quantum Kibble–Zurek mechanism (QKZM)7–9 for an Ising-type QPT, explore scaling universality and observe corrections beyond QKZM predictions. This approach is subsequently used to measure the critical exponents associated with chiral clock models10,11, providing new insights into exotic systems that were not previously understood and opening the door to precision studies of critical phenomena, simulations of lattice gauge theories12,13 and applications to quantum optimization14,15. 2021-10-27T20:23:57Z 2021-10-27T20:23:57Z 2019 2019-06-05T12:05:19Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/135548 en 10.1038/s41586-019-1070-1 Nature 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. application/pdf Springer Science and Business Media LLC arXiv
spellingShingle Keesling, Alexander
Omran, Ahmed
Levine, Harry
Bernien, Hannes
Pichler, Hannes
Choi, Soonwon
Samajdar, Rhine
Schwartz, Sylvain
Silvi, Pietro
Sachdev, Subir
Zoller, Peter
Endres, Manuel
Greiner, Markus
Vuletić, Vladan
Lukin, Mikhail D
Quantum Kibble–Zurek mechanism and critical dynamics on a programmable Rydberg simulator
title Quantum Kibble–Zurek mechanism and critical dynamics on a programmable Rydberg simulator
title_full Quantum Kibble–Zurek mechanism and critical dynamics on a programmable Rydberg simulator
title_fullStr Quantum Kibble–Zurek mechanism and critical dynamics on a programmable Rydberg simulator
title_full_unstemmed Quantum Kibble–Zurek mechanism and critical dynamics on a programmable Rydberg simulator
title_short Quantum Kibble–Zurek mechanism and critical dynamics on a programmable Rydberg simulator
title_sort quantum kibble zurek mechanism and critical dynamics on a programmable rydberg simulator
url https://hdl.handle.net/1721.1/135548
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