Quantum criticality in an Ising chain: experimental evidence for emergent E8 symmetry.

Quantum phase transitions take place between distinct phases of matter at zero temperature. Near the transition point, exotic quantum symmetries can emerge that govern the excitation spectrum of the system. A symmetry described by the E8 Lie group with a spectrum of eight particles was long predicte...

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Main Authors: Coldea, R, Tennant, D, Wheeler, E, Wawrzynska, E, Prabhakaran, D, Telling, M, Habicht, K, Smeibidl, P, Kiefer, K
Format: Journal article
Language:English
Published: 2010
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author Coldea, R
Tennant, D
Wheeler, E
Wawrzynska, E
Prabhakaran, D
Telling, M
Habicht, K
Smeibidl, P
Kiefer, K
author_facet Coldea, R
Tennant, D
Wheeler, E
Wawrzynska, E
Prabhakaran, D
Telling, M
Habicht, K
Smeibidl, P
Kiefer, K
author_sort Coldea, R
collection OXFORD
description Quantum phase transitions take place between distinct phases of matter at zero temperature. Near the transition point, exotic quantum symmetries can emerge that govern the excitation spectrum of the system. A symmetry described by the E8 Lie group with a spectrum of eight particles was long predicted to appear near the critical point of an Ising chain. We realize this system experimentally by using strong transverse magnetic fields to tune the quasi-one-dimensional Ising ferromagnet CoNb2O6 (cobalt niobate) through its critical point. Spin excitations are observed to change character from pairs of kinks in the ordered phase to spin-flips in the paramagnetic phase. Just below the critical field, the spin dynamics shows a fine structure with two sharp modes at low energies, in a ratio that approaches the golden mean predicted for the first two meson particles of the E8 spectrum. Our results demonstrate the power of symmetry to describe complex quantum behaviors.
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spelling oxford-uuid:f67d60f9-f309-4f3e-b4fd-67b64430002a2022-03-27T12:35:23ZQuantum criticality in an Ising chain: experimental evidence for emergent E8 symmetry.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:f67d60f9-f309-4f3e-b4fd-67b64430002aEnglishSymplectic Elements at Oxford2010Coldea, RTennant, DWheeler, EWawrzynska, EPrabhakaran, DTelling, MHabicht, KSmeibidl, PKiefer, KQuantum phase transitions take place between distinct phases of matter at zero temperature. Near the transition point, exotic quantum symmetries can emerge that govern the excitation spectrum of the system. A symmetry described by the E8 Lie group with a spectrum of eight particles was long predicted to appear near the critical point of an Ising chain. We realize this system experimentally by using strong transverse magnetic fields to tune the quasi-one-dimensional Ising ferromagnet CoNb2O6 (cobalt niobate) through its critical point. Spin excitations are observed to change character from pairs of kinks in the ordered phase to spin-flips in the paramagnetic phase. Just below the critical field, the spin dynamics shows a fine structure with two sharp modes at low energies, in a ratio that approaches the golden mean predicted for the first two meson particles of the E8 spectrum. Our results demonstrate the power of symmetry to describe complex quantum behaviors.
spellingShingle Coldea, R
Tennant, D
Wheeler, E
Wawrzynska, E
Prabhakaran, D
Telling, M
Habicht, K
Smeibidl, P
Kiefer, K
Quantum criticality in an Ising chain: experimental evidence for emergent E8 symmetry.
title Quantum criticality in an Ising chain: experimental evidence for emergent E8 symmetry.
title_full Quantum criticality in an Ising chain: experimental evidence for emergent E8 symmetry.
title_fullStr Quantum criticality in an Ising chain: experimental evidence for emergent E8 symmetry.
title_full_unstemmed Quantum criticality in an Ising chain: experimental evidence for emergent E8 symmetry.
title_short Quantum criticality in an Ising chain: experimental evidence for emergent E8 symmetry.
title_sort quantum criticality in an ising chain experimental evidence for emergent e8 symmetry
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