Density Induced Phase Transitions in the Schwinger Model: A Study with Matrix Product States
arXiv:1611.00705 · doi:10.1103/PhysRevLett.118.071601
Abstract
We numerically study the zero temperature phase structure of the multiflavor Schwinger model at nonzero chemical potential. Using matrix product states, we reproduce analytical results for the phase structure for two flavors in the massless case and extend the computation to the massive case, where no analytical predictions are available. Our calculations allow us to locate phase transitions in the mass-chemical potential plane with great precision and provide a concrete example of tensor networks overcoming the sign problem in a lattice gauge theory calculation.
5+5 pages, 4+4 figures, version 2: different title, published version
References in corpus (43)
- Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
- Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations
- Real-time dynamics of lattice gauge theories with a few-qubit quantum computer
- Matrix product states represent ground states faithfully
- From density-matrix renormalization group to matrix product states
- Quantum Simulations of Lattice Gauge Theories using Ultracold Atoms in Optical Lattices
- Ultracold Quantum Gases and Lattice Systems: Quantum Simulation of Lattice Gauge Theories
- Atomic Quantum Simulation of Dynamical Gauge Fields coupled to Fermionic Matter: From String Breaking to Evolution after a Quench
- Lattice gauge theories simulations in the quantum information era
- Variational optimization with infinite projected entangled-pair states
- The iPEPS algorithm, improved: fast full update and gauge fixing
- The mass spectrum of the Schwinger model with Matrix Product States
- Gradient methods for variational optimization of projected entangled-pair states
- Tensor networks for Lattice Gauge Theories and Atomic Quantum Simulation
- Monte Carlo simulations on the Lefschetz thimble: taming the sign problem
- Matrix product states for gauge field theories
- Series Expansions for the Massive Schwinger Model in Hamiltonian lattice theory
- Real-time Dynamics in U(1) Lattice Gauge Theories with Tensor Networks
- Approaches to the sign problem in lattice field theory
- Gauging quantum states: from global to local symmetries in many-body systems
- Tensor Networks for Lattice Gauge Theories with continuous groups
- Quantum simulation of the Schwinger model: A study of feasibility
- Grassmann Tensor Renormalization Group Approach to One-Flavor Lattice Schwinger Model
- Non-Abelian string breaking phenomena with Matrix Product States
- Real-time dynamics of string breaking
- Lattice Gauge Tensor Networks
- Thermal evolution of the Schwinger model with Matrix Product Operators
- Chiral condensate in the Schwinger model with Matrix Product Operators
- Hamiltonian simulation of the Schwinger model at finite temperature
- Grassmann tensor renormalization group for one-flavor lattice Gross-Neveu model with finite chemical potential
- Confinement and string breaking for QED in the Hamiltonian picture
- Scalar susceptibility in QCD and the multiflavor Schwinger model
- Controlling sign problems in spin models using tensor renormalization
- Fermionic Projected Entangled Pair States and Local U(1) Gauge Theories
- Building Projected Entangled Pair States with a Local Gauge Symmetry
- Projected Entangled Pair States with non-Abelian gauge symmetries: an SU(2) study
- Solving the sign problems of the massless lattice Schwinger model with a dual formulation
- Bosonized Massive N-flavor Schwinger Model
- Fermion Condensates of massless at Finite Density in non-trivial Topological Sectors
- Phase structure of two-dimensional QED at zero temperature with flavor-dependent chemical potentials and the role of multidimensional theta functions
- Two flavor massless Schwinger model on a torus at a finite chemical potential
- Overcoming the sign problem in 1-dimensional QCD by new integration rules with polynomial exactness
- Is Schwinger Model at Finite Density a Crystal?
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- Tensor networks for complex quantum systems
- Simulating Lattice Gauge Theories within Quantum Technologies
- Quantum Computing for High-Energy Physics: State of the Art and Challenges. Summary of the QC4HEP Working Group
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- Nonthermal states arising from confinement in one and two dimensions
- Simulations of Subatomic Many-Body Physics on a Quantum Frequency Processor
- A resource efficient approach for quantum and classical simulations of gauge theories in particle physics
- Signatures of rare states and thermalization in a theory with confinement
- Efficient Basis Formulation for (1+1)-Dimensional SU(2) Lattice Gauge Theory: Spectral calculations with matrix product states
- Confinement and lack of thermalization after quenches in the bosonic Schwinger model
- Topological vacuum structure of the Schwinger model with matrix product states
- Real-time simulation of the Schwinger effect with Matrix Product States
- Finite-representation approximation of lattice gauge theories at the continuum limit with tensor networks
- Lattice Quantum Electrodynamics in (3+1)-dimensions at finite density with Tensor Networks
- Tensor lattice field theory with applications to the renormalization group and quantum computing
- Finite-density phase diagram of a (1+1)-d non-abelian lattice gauge theory with tensor networks
- Variational study of U(1) and SU(2) lattice gauge theories with Gaussian states in 1+1 dimensions
- Entanglement generation in QED scattering processes
- Measurement Error Mitigation in Quantum Computers Through Classical Bit-Flip Correction
- Berezinskii-Kosterlitz-Thouless transition in lattice Schwinger model with one flavor of Wilson fermion
- Tuning the Topological -Angle in Cold-Atom Quantum Simulators of Gauge Theories
- A qubit regularization of the sigma model
- Toward Quantum Computing Phase Diagrams of Gauge Theories with Thermal Pure Quantum States
- High-Energy Collision of Quarks and Mesons in the Schwinger Model: From Tensor Networks to Circuit QED
- Two-dimensional quantum-link lattice Quantum Electrodynamics at finite density
- O(3) nonlinear sigma model in 1+1 dimensions with matrix product states
- Combining Tensor Networks with Monte Carlo Methods for Lattice Gauge Theories
- Remarks on nuclear matter: how an condensate can spike the speed of sound, and a model of baryons
- Tensor Network Simulation of compact one-dimensional lattice Quantum Chromodynamics at finite density
- Finite Density Near Lefschetz Thimbles
- Tensor network simulation of QED on infinite lattices: learning from (1+1)d, and prospects for (2+1)d
- Towards Quantum Simulations in Particle Physics and Beyond on Noisy Intermediate-Scale Quantum Devices
- Investigating a (3+1)D Topological -Term in the Hamiltonian Formulation of Lattice Gauge Theories for Quantum and Classical Simulations
- Computing the Mass Shift of Wilson and Staggered Fermions in the Lattice Schwinger Model with Matrix Product States
- Real-time dynamics in 2+1d compact QED using complex periodic Gaussian states
- Classification of Matrix Product States with a Local (Gauge) Symmetry
- Canonical Momenta in Digitized SU(2) Lattice Gauge Theory: Definition and Free Theory
- Tensor Networks for Lattice Gauge Theories beyond one dimension: a Roadmap
- Exploring the CP-violating Dashen phase in the Schwinger model with tensor networks
- Emergence of Gauss' Law in a Lattice Gauge Theory
- Quantum Yang-Mills theory: an overview of a programme
- Phase structure of the CP(1) model in the presence of a topological -term
- Tensor Renormalization Group Algorithms with a Projective Truncation Method
- Simulating gauge theories with variational quantum eigensolvers in superconducting microwave cavities
- Relativistic continuous matrix product states for quantum fields without cutoff
- Gauss Law, Minimal Coupling and Fermionic PEPS for Lattice Gauge Theories
- Phase structure of the 1+1 dimensional massive Thirring model from matrix product states
- A variational Monte Carlo algorithm for lattice gauge theories with continuous gauge groups: a study of (2+1)-dimensional compact QED with dynamical fermions at finite density
- Confinement in 1+1D Lattice Gauge Theories at Finite Temperature
- Studying the phase diagram of the three-flavor Schwinger model in the presence of a chemical potential with measurement- and gate-based quantum computing
- Real-time Dynamics of the Schwinger Model as an Open Quantum System with Neural Density Operators
- Triad second renormalization group
- Flux unwinding in the lattice Schwinger model
- Wilson Loops and Area Laws in Lattice Gauge Theory Tensor Networks
- Gaussian states for the variational study of (1+1)-dimensional lattice gauge models
- Entanglement renormalization for gauge invariant quantum fields
- End-to-end complexity for simulating the Schwinger model on quantum computers
- Topological Defects in Quantum Field Theory with Matrix Product States
- Spectral properties of critical 1+1D Abelian-Higgs model
- The Kibble Zurek Mechanism of Topological Defect Formation in Quantum Field Theory with Matrix Product States
- Meson thermalization with a hot medium in the open Schwinger model
- Spectroscopy with the tensor renormalization group method
- Crystalline phases at finite winding densities in a quantum link ladder
- Entanglement Renormalization of the class of Continuous Matrix Product States
- Thermal modifications of mesons and energy-energy correlators from real-time simulations of a lattice gauge theory
- Fermion Discretization Effects in the Two-Flavor Lattice Schwinger Model: A Study with Matrix Product States
- The Hubbard model with fermionic tensor networks
- (2+1)D quantum electrodynamics at finite density on a quantum computer
- Topological crystals and soliton lattices in a Gross-Neveu model with Hilbert-space fragmentation
- Gapless deconfined phase in a symmetric Hamiltonian created in a cold-atom setup
- Stability of the symmetry-protected topological phase and Ising transitions in a disordered U(1) quantum link model on a ladder
- Z3 gauge theory coupled to fermions and quantum computing