Experimental observations of the universal cascade of bound states in quantum Ising chain in a magnetic field and E8 symmetry

doi:10.36471/jccm_september_2020_04

Cited by 3 publications

(4 citation statements)

References 8 publications

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“…Due to the effective fields B ∥ , the systems exhibit a spin gap at B c,1D ⊥ = J/2, where otherwise a 1D transverse field Ising quantum critical point should occur. Around this perturbed quantum critical point, an integrable field theory was found, whose dynamical spectrum is described as corresponding to an E 8 Lie algebra [7,[28][29][30]. The dynamic spectrum is characterized by excitations of eight single quasiparticles and also continua of their multiple excitations.…”

Section: Introductionmentioning

confidence: 98%

Quantum spin dynamics of quasi-one-dimensional Heisenberg-Ising magnets in a transverse field: confined spinons, E ₈ spectrum, and quantum phase transitions

Amelin

Viirok²,

Nagel³

et al. 2022

J. Phys. A: Math. Theor.

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We report on high-resolution terahertz spectroscopic studies of quantum spin dynamics in the quasi-one-dimensional Ising-like ferromagnet CoNb$_2$O$_6$ and antiferromagnet BaCo$_2$V$_2$O$_8$ as a function of an applied transverse magnetic field. In the ordered phases stabilized by inter-chain couplings, we reveal characteristics for confined spinon excitations, $E_8$ dynamical spectrum, and field-induced quantum phase transitions. The connections between these characteristic dynamical features are found in the field-dependent evolution of the excitation spectra.

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Section: Introductionmentioning

confidence: 98%

Quantum spin dynamics of quasi-one-dimensional Heisenberg-Ising magnets in a transverse field: confined spinons, E ₈ spectrum, and quantum phase transitions

Amelin

Viirok²,

Nagel³

et al. 2022

J. Phys. A: Math. Theor.

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“…Note added: A review article that highlights the current work appears online by Journal Club for Condensed Matter Physics [42].…”

mentioning

confidence: 99%

E8 Spectra of Quasi-One-Dimensional Antiferromagnet BaCo2V
Zou
¹
,
Cui
²
,
Wang
³

et al. 2021
Phys. Rev. Lett.
33
2
14
0
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We report 51 V nuclear magnetic resonance (NMR) and inelastic neutron scattering (INS) measurements on a quasi-1D antiferromagnet BaCo2V2O8 under transverse field along the [010] direction. The scaling behavior of the spin-lattice relaxation rate above the Néel temperatures unveils a 1D quantum critical point (QCP) at H 1D c ≈ 4.7 T, which is masked by the 3D magnetic order. With the aid of accurate analytical analysis and numerical calculations, we show that the zone center INS spectrum at H 1D c is precisely described by the pattern of the 1D quantum Ising model in a magnetic field, a class of universality described in terms of the exceptional E8 Lie algebra. These excitations keep to be non-diffusive over a certain field range when the system is away from the 1D QCP. Our results provide an unambiguous experimental realization of the massive E8 phase in the compound, and open new experimental route for exploring the dynamics of quantum integrable systems as well as physics beyond integrability.

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“…显然, 当时, 系统存在能隙, 该能隙在时消失. 零温时, 该模型存在一个横场驱动的铁磁相和顺磁相之间的量子相变(图1) [1,22] , 对应的QCP位于 . The two tilted dotted lines illustrate the crossovers of different disorder phases in low temperature region, while the dotted line above shows a crossover from quantum critical region to classical region.…”

Section: 横场伊辛链mentioning

confidence: 99%

“…2018年, 吴建达与合作者 [32] 关于伊辛普适类格林艾森比率 (Grüneisen ratio)量子临界标度行为的理论突破为实验提供了一个可靠的判定标准. 这里先简要归纳伊辛普适类在QCP附近的标度规律, 这些标度规律皆可作为判断伊辛普适类的依据 [1,22,32] . 首先, QCP附近系统的磁化满足…”

Section: 横场伊辛链unclassified

From the transverse field Ising chain to the quantum E8 integrable model

Wang¹,

Yang²,

Wu³

2021

Acta Phys. Sin.

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This review reports a series of theoretical and experimental progress on researches of the transverse field Ising chain (TFIC) and the quantum E8 integrable model. For the TFIC, on one hand, a unique exotic quantum critical behavior of Grüneisen ratio (a ratio from magnetic or thermal expansion coefficient to specific heat) is theoretically established; on the other hand microscopic models can accommodate the TFIC universality class are substantially expanded. These progresses successfully promote a series of experiments collaborations to first-time realize the TFIC universality class in quasi one-dimensional anti-ferromagnetic material BaCo2V2O8 and SrCo2V2O8. For the quantum E8 integrable model, the low temperature local dynamics and the dynamical structure factor with zero transfer momentum of this system are analytically determined, where a cascade of edge singularities with power-law divergences are obtained in the continuum region of the dynamical structure factor. After combining with detailed quantum critical scaling behaviors analysis and large scale iTEBD calculation, it successfully facilitates a series of experiments, including THz spectrum measurements, inelastic neutron scattering and NMR experiments, to realize the quantum E8 integrable model in BaCo2V2O8 for the first time. The experimental realization of the quantum E8 integrable model substantially extends the frontiers of studying quantum integrable models in real materials. The series of progress and developments on the TFIC and the quantum E8 integrable model lay down a concrete ground to go beyond quantum integrability, and can inspire studies in condensed matter systems, cold atom systems, statistical field theory and conformal field theory.

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Experimental observations of the universal cascade of bound states in quantum Ising chain in a magnetic field and E8 symmetry

Cited by 3 publications

References 8 publications

Quantum spin dynamics of quasi-one-dimensional Heisenberg-Ising magnets in a transverse field: confined spinons, E ₈ spectrum, and quantum phase transitions

Quantum spin dynamics of quasi-one-dimensional Heisenberg-Ising magnets in a transverse field: confined spinons, E ₈ spectrum, and quantum phase transitions

E8 Spectra of Quasi-One-Dimensional Antiferromagnet BaCo2V
Zou
¹
,
Cui
²
,
Wang
³

et al. 2021
Phys. Rev. Lett.
33
2
14
0
View full text Add to dashboard Cite

From the transverse field Ising chain to the quantum <i>E</i><sub>8</sub> integrable model

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Experimental observations of the universal cascade of bound states in quantum Ising chain in a magnetic field and E8 symmetry

Cited by 3 publications

References 8 publications

Quantum spin dynamics of quasi-one-dimensional Heisenberg-Ising magnets in a transverse field: confined spinons, E 8 spectrum, and quantum phase transitions

Quantum spin dynamics of quasi-one-dimensional Heisenberg-Ising magnets in a transverse field: confined spinons, E 8 spectrum, and quantum phase transitions

E8 Spectra of Quasi-One-Dimensional Antiferromagnet BaCo2VZou1, Cui2, Wang3 et al. 2021Phys. Rev. Lett.332140View full textAdd to dashboardCite

From the transverse field Ising chain to the quantum <i>E</i><sub>8</sub> integrable model

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Quantum spin dynamics of quasi-one-dimensional Heisenberg-Ising magnets in a transverse field: confined spinons, E ₈ spectrum, and quantum phase transitions

Quantum spin dynamics of quasi-one-dimensional Heisenberg-Ising magnets in a transverse field: confined spinons, E ₈ spectrum, and quantum phase transitions

E8 Spectra of Quasi-One-Dimensional Antiferromagnet BaCo2V
Zou
¹
,
Cui
²
,
Wang
³

et al. 2021
Phys. Rev. Lett.
33
2
14
0
View full text Add to dashboard Cite