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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

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記事
著者
Masazumi Hondaほか
出版者
Oxford University Press
出版年
2022-01-14
資料形態
デジタル
掲載誌名
Progress of Theoretical and Experimental Physics : PTEP 2022(3)
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要約等:

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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デジタル

資料種別
記事
著者・編者
Masazumi Honda
Etsuko Itou
Yuta Kikuchi
出版年月日等
2022-01-14
出版年(W3CDTF)
2022-01-14
タイトル(掲載誌)
Progress of Theoretical and Experimental Physics : PTEP
巻号年月日等(掲載誌)
2022(3)
掲載巻
2022(3)
ISSN(掲載誌)
2050-3911
本文の言語コード
eng
国立国会図書館永続的識別子
info:ndljp/pid/12295573
コレクション(共通)
コレクション(障害者向け資料:レベル1)
コレクション(個別)
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
収集根拠
オンライン資料収集制度
受理日(W3CDTF)
2022-06-01T20:17:33+09:00
保存日(W3CDTF)
2022-05-24
記録形式(IMT)
application/pdf
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国立国会図書館内限定公開
デジタル化資料送信
図書館・個人送信対象外
遠隔複写可否(NDL)
掲載誌(国立国会図書館永続的識別子)
info:ndljp/pid/12295572
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デジタル

要約等
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.
オンライン閲覧公開範囲
インターネット公開
著作権情報
© 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
参照
DMRG study of the theta-dependent mass spectrum in the 2-flavor Schwinger model
DMRG study of the higher-charge Schwinger model and its 't Hooft anomaly
End-to-end complexity for simulating the Schwinger model on quantum computers
Monte Carlo study of Schwinger model without the sign problem
Schwinger model on an interval: Analytic results and DMRG
Critical behavior of the Schwinger model via gauge-invariant variational uniform matrix product states
参照
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
Real-time dynamics of lattice gauge theories with a few-qubit quantum computer
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
Probing many-body dynamics on a 51-atom quantum simulator
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
U(1) Wilson lattice gauge theories in digital quantum simulators
Quantum link models: A discrete approach to gauge theories
Global inconsistency, 't Hooft anomaly, and level crossing in quantum mechanics
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書誌ID(NDLBibID)
12295573