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Negative string tension of a higher-charge Schwinger model via digital quantum simulation

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Negative string tension of a higher-charge Schwinger model via digital quantum simulation

Persistent ID (NDL)
info:ndljp/pid/12295573
Material type
記事
Author
Masazumi Hondaほか
Publisher
Oxford University Press
Publication date
2022-01-14
Material Format
Digital
Journal name
Progress of Theoretical and Experimental Physics : PTEP 2022(3)
Publication Page
-
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We study some properties of generalized global symmetry for the charge-q Schwinger model in the Hamiltonian formalism, which is the (1 + 1)-dimensiona...

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Digital

Material Type
記事
Author/Editor
Masazumi Honda
Etsuko Itou
Yuta Kikuchi
Publication, Distribution, etc.
Publication Date
2022-01-14
Publication Date (W3CDTF)
2022-01-14
Periodical title
Progress of Theoretical and Experimental Physics : PTEP
No. or year of volume/issue
2022(3)
Volume
2022(3)
ISSN (Periodical Title)
2050-3911
Text Language Code
eng
Persistent ID (NDL)
info:ndljp/pid/12295573
Collection (Materials For Handicapped People:1)
Collection (particular)
国立国会図書館デジタルコレクション > 電子書籍・電子雑誌 > その他
Acquisition Basis
オンライン資料収集制度
Date Accepted (W3CDTF)
2022-06-01T20:17:33+09:00
Date Captured (W3CDTF)
2022-05-24
Format (IMT)
application/pdf
Access Restrictions
国立国会図書館内限定公開
Service for the Digitized Contents Transmission Service
図書館・個人送信対象外
Availability of remote photoduplication service
Periodical Title (Persistent ID (NDL))
info:ndljp/pid/12295572
Data Provider (Database)
国立国会図書館 : 国立国会図書館デジタルコレクション

Digital

Summary, etc.
We study some properties of generalized global symmetry for the charge-q Schwinger model in the Hamiltonian formalism, which is the (1 + 1)-dimensional quantum electrodynamics with a charge-q Dirac fermion. This model has the ℤq 1-form symmetry, which is a remnant of the electric U(1) 1-form symmetry in the pure Maxwell theory. It is known that if we put the theory on closed space, then the Hilbert space is decomposed into q distinct sectors, called universes and some states with higher energy density do not decay to the ground state due to the selection rule of the 1-form symmetry. Even with open boundaries, we can observe the stability of such states by seeing a negative string tension behavior, meaning that opposite charges repel with each other. In order to see negative string tensions, the vacuum angle θ has to be large enough and the standard path-integral Monte Carlo method suffers from the sign problem. We develop a method based on the adiabatic state preparation to see this feature with digital quantum simulation and confirm it using a classical simulator of quantum devices. Especially, we measure local energy density and see how it jumps between inside and outside of insertion of the probe charges. We explicitly see that the energy density inside is lower than the outside one. This is a clear signature of the negative string tension.
電荷が反対の粒子間に斥力が働く状況を実現 --量子アルゴリズムの新たな応用--. 京都大学プレスリリース. 2022-02-28.
Likes repel and opposites can too?: KyotoU uses quantum algorithm to study unusual electric charge behavior. 京都大学プレスリリース. 2022-05-16.
Access Restrictions
インターネット公開
Rights (production)
© The Author(s) 2022. Published by Oxford University Press on behalf of the Physical Society of Japan.
This is an Open Access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.Funded by SCOAP³
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References
Vacuum structure of bifundamental gauge theories at finite topological angles
Bounds for the adiabatic approximation with applications to quantum computation
Universal Quantum Simulators
Simulation of Nonequilibrium Dynamics on a Quantum Computer
Quantum-classical computation of Schwinger model dynamics using quantum computers
Theta, time reversal and temperature
Quantum simulation of scattering in the quantum Ising model
Massive Schwinger Model within Mass Perturbation Theory
Simulations of subatomic many-body physics on a quantum frequency processor
Lifetimes of near eternal false vacua
Vacuum structure of charge k two-dimensional QED and dynamics of an anti D-string near an O1−-plane
Dual simulation of the 2d U(1) gauge Higgs model at topological angle θ = π: Critical endpoint behavior
Theta Dependence in the Large<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="italic">N</mml:mi></mml:math>Limit of Four-Dimensional Gauge Theories
Generalized global symmetries
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>σ</mml:mi></mml:math> Models on Quantum Computers
Fractional θ angle, ’t Hooft anomaly, and quantum instantons in charge-q multi-flavor Schwinger model
Anomaly matching, (axial) Schwinger models, and high-T super Yang-Mills domain walls
Gauge-invariant implementation of the Abelian-Higgs model on optical lattices
Quantum simulations of lattice gauge theories using ultracold atoms in optical lattices
Ultracold quantum gases and lattice systems: quantum simulation of lattice gauge theories
Digitization of scalar fields for quantum computing
The bi-fundamental gauge theory in 3+1 dimensions: the vacuum structure and a cascade
More about the massive Schwinger model
Sums over topological sectors and quantization of Fayet–Iliopoulos parameters
Quantum computation of scattering in scalar quantum field theories
Lattice Gauge Theories and String Dynamics in Rydberg Atom Quantum Simulators
QED on a circle
Cluster decomposition, T-duality, and gerby CFTs
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The Schwinger model and its axial anomaly
Gauge Invariance and Mass
Atomic Quantum Simulation of Dynamical Gauge Fields Coupled to Fermionic Matter: From String Breaking to Evolution after a Quench
Gauge Invariance and Mass. II
Self-verifying variational quantum simulation of lattice models
Non-Abelian SU(2) Lattice Gauge Theories in Superconducting Circuits
Density matrix renormalization group approach to the massive Schwinger model
Quantum Simulation of the Universal Features of the Polyakov Loop
Atomic Quantum Simulation of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold">U</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>N</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>SU</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>N</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>Non-Abelian Lattice Gauge Theories
Two-dimensional lattice gauge theories with superconducting quantum circuits
String compactifications on Calabi–Yau stacks
Fermion-Fermion Scattering in Quantum Field Theory with Superconducting Circuits
Quantum Algorithms for Quantum Field Theories
QuSpin: a Python package for dynamics and exact diagonalisation of quantum many body systems. Part II: bosons, fermions and higher spins
Large N chiral dynamics
General theory of fractal path integrals with applications to many-body theories and statistical physics
Simulating Compact Quantum Electrodynamics with Ultracold Atoms: Probing Confinement and Nonperturbative Effects
Digital lattice gauge theories
Electron-Phonon Systems on a Universal Quantum Computer
Anomalies in the space of coupling constants and their dynamical applications I
Simulating physics with computers
Modified instanton sum in QCD and higher-groups
G{LSM}s for gerbes (and other toric stacks)
Topology of the gauge condition and new confinement phases in non-abelian gauge theories
Towards quantum simulating QCD
Study of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="normal">C</mml:mi><mml:mi mathvariant="normal">P</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>N</mml:mi><mml:mo>−</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>θ</mml:mi></mml:math>-Vacua by Cluster Simulation of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="normal">S</mml:mi><mml:mi mathvariant="normal">U</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>N</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>Quantum Spin Ladders
Cold-Atom Quantum Simulator for SU(2) Yang-Mills Lattice Gauge Theory
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Anomalies in the space of coupling constants and their dynamical applications II
QuSpin: a Python package for dynamics and exact diagonalisation of quantum many body systems part I: spin chains
Anomaly and global inconsistency matching: <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>θ</mml:mi></mml:math> angles, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>S</mml:mi><mml:mi>U</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mn>3</mml:mn><mml:mo>)</mml:mo></mml:mrow><mml:mo>/</mml:mo><mml:mi>U</mml:mi><mml:msup><mml:mrow><mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo></mml:mrow><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:math> nonlinear sigma model, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>S</mml:mi><mml:mi>U</mml:mi><mml:mo>(</mml:mo><mml:mn>3</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math> chains, and generalizations
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Data Provider (Database)
国立情報学研究所 : CiNii Research
Bibliographic ID (NDL)
12295573