Localization in Fractonic Random Circuits

Pai, Shriya; Pretko, Michael; Nandkishore, Rahul M.

doi:10.1103/physrevx.9.021003

Phys. Rev. X

2019

DOI: 10.1103/physrevx.9.021003

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Localization in Fractonic Random Circuits

Shriya Pai,

Michael Pretko,

Rahul M. Nandkishore

Abstract: We study the spreading of initially-local operators under unitary time evolution in a onedimensional random quantum circuit model which is constrained to conserve a U (1) charge and also the dipole moment of this charge. These constraints are motivated by the quantum dynamics of fracton phases. We discover that charge remains localized at its initial position, providing a crisp example of a non-ergodic dynamical phase of random circuit dynamics. This localization can be understood as a consequence of the retur… Show more

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Cited by 236 publications

(164 citation statements)

References 91 publications

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156

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“…We therefore conclude that the localized behavior observed in Ref. 71 is particular to the case of the circuit with three-site gates, contrary to what is suggested there.…”

Section: Comparison To Random Unitary Circuitscontrasting

confidence: 88%

Ergodicity Breaking Arising from Hilbert Space Fragmentation in Dipole-Conserving Hamiltonians

Sala,

Rakovszky,

Verresen

et al. 2020

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Exaggerated anticipatory anxiety is common in social anxiety disorder (SAD). Neuroimaging studies have revealed altered neural activity in response to social stimuli in SAD, but fewer studies have examined neural activity during anticipation of feared social stimuli in SAD. The current study examined the time course and magnitude of activity in threat processing brain regions during speech anticipation in socially anxious individuals and healthy controls (HC). Method Participants (SAD n = 58; HC n = 16) underwent functional magnetic resonance imaging (fMRI) during which they completed a 90s control anticipation task and 90s speech anticipation task.

show abstract

“…We therefore conclude that the localized behavior observed in Ref. 71 is particular to the case of the circuit with three-site gates, contrary to what is suggested there.…”

Section: Comparison To Random Unitary Circuitscontrasting

confidence: 88%

Ergodicity Breaking Arising from Hilbert Space Fragmentation in Dipole-Conserving Hamiltonians

Sala,

Rakovszky,

Verresen

et al. 2020

Get access via publisher Add to dashboard Cite

Exaggerated anticipatory anxiety is common in social anxiety disorder (SAD). Neuroimaging studies have revealed altered neural activity in response to social stimuli in SAD, but fewer studies have examined neural activity during anticipation of feared social stimuli in SAD. The current study examined the time course and magnitude of activity in threat processing brain regions during speech anticipation in socially anxious individuals and healthy controls (HC). Method Participants (SAD n = 58; HC n = 16) underwent functional magnetic resonance imaging (fMRI) during which they completed a 90s control anticipation task and 90s speech anticipation task.

show abstract

“…In Eq. (23) γ YS is given by (12). This derivation confirms our numerical observation (15) and concludes this section.…”

Section: Matrix Inversion Tricksupporting

confidence: 87%

Robustness of delocalization to the inclusion of soft constraints in long-range random models

Nosov

¹

,

Khaymovich

²

2019

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Exaggerated anticipatory anxiety is common in social anxiety disorder (SAD). Neuroimaging studies have revealed altered neural activity in response to social stimuli in SAD, but fewer studies have examined neural activity during anticipation of feared social stimuli in SAD. The current study examined the time course and magnitude of activity in threat processing brain regions during speech anticipation in socially anxious individuals and healthy controls (HC). Method Participants (SAD n = 58; HC n = 16) underwent functional magnetic resonance imaging (fMRI) during which they completed a 90s control anticipation task and 90s speech anticipation task.

show abstract

“…This type of boundary anomalous flow is similar to the quantum spin Hall edge state, but the symmetries that protect them are different 6. Similar observations have been made in a recent work about subsystem anomaly[56].…”

supporting

confidence: 84%

A Chern-Simons theory for dipole symmetry

Huang

¹

2023

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Exaggerated anticipatory anxiety is common in social anxiety disorder (SAD). Neuroimaging studies have revealed altered neural activity in response to social stimuli in SAD, but fewer studies have examined neural activity during anticipation of feared social stimuli in SAD. The current study examined the time course and magnitude of activity in threat processing brain regions during speech anticipation in socially anxious individuals and healthy controls (HC). Method Participants (SAD n = 58; HC n = 16) underwent functional magnetic resonance imaging (fMRI) during which they completed a 90s control anticipation task and 90s speech anticipation task.

show abstract

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