Exploring the CP-violating Dashen phase in the Schwinger model with tensor networks

Abstract

We numerically study the phase structure of the two-flavor Schwinger model with matrix product states, focusing on the (1+1)-dimensional analog of the CP-violating Dashen phase in QCD. We simulate the two-flavor Schwinger model around the point where the positive mass of one fermion flavor corresponds to the negative mass of the other fermion flavor, which is a sign-problem afflicted regime for conventional Monte Carlo techniques. Our results indicate that the model undergoes a CP-violating Dashen phase transition at this point, which manifests itself in abrupt changes of the average electric field and the analog of the pion condensate in the model. Studying the scaling of the bipartite entanglement entropy as a function of the volume, we find clear indications that this transition is not of first order.

arXiv comment8 pages, 3 figures, v2: updated to match journal version

References in corpus (40)

• The density-matrix renormalization group in the age of matrix product states
• Entanglement in quantum critical phenomena
• A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States
• Entanglement entropy and conformal field theory
• Ab-initio Determination of Light Hadron Masses
• Theta, Time Reversal, and Temperature
• Hand-waving and Interpretive Dance: An Introductory Course on Tensor Networks
• Simulation of strongly correlated fermions in two spatial dimensions with fermionic Projected Entangled-Pair States
• The mass spectrum of the Schwinger model with Matrix Product States
• Review on novel methods for lattice gauge theories
• Density Matrix Renormalisation Group Approach to the Massive Schwinger Model
• Matrix product states for gauge field theories
• Series Expansions for the Massive Schwinger Model in Hamiltonian lattice theory
• Digital Quantum Simulation of the Schwinger Model and Symmetry Protection with Trapped Ions
• Quantum simulation of the Schwinger model: A study of feasibility
• Density Induced Phase Transitions in the Schwinger Model: A Study with Matrix Product States
• Unitary circuits for strongly correlated fermions
• Efficient Basis Formulation for (1+1)-Dimensional SU(2) Lattice Gauge Theory: Spectral calculations with matrix product states
• Thermal evolution of the Schwinger model with Matrix Product Operators
• Topological vacuum structure of the Schwinger model with matrix product states
• Real-time simulation of the Schwinger effect with Matrix Product States
• Chiral condensate in the Schwinger model with Matrix Product Operators
• Hamiltonian simulation of the Schwinger model at finite temperature
• Finite-representation approximation of lattice gauge theories at the continuum limit with tensor networks
• Quark Masses and Chiral Symmetry
• Lattice Quantum Electrodynamics in (3+1)-dimensions at finite density with Tensor Networks
• Confinement and string breaking for QED${}_2$ in the Hamiltonian picture
• Tensor Networks and their use for Lattice Gauge Theories
• Two-dimensional quantum-link lattice Quantum Electrodynamics at finite density
• Spontaneous $CP$ breaking in QCD and the axion potential: an effective Lagrangian approach
• Scale setting and the light baryon spectrum in $N_f=2+1$ QCD with Wilson fermions
• Tensor Network Simulation of compact one-dimensional lattice Quantum Chromodynamics at finite density
• Towards the continuum limit of a $(1+1)$d quantum link Schwinger model
• Tensor network simulation of QED on infinite lattices: learning from (1+1)d, and prospects for (2+1)d
• Strategies for the Determination of the Running Coupling of $(2+1)$-dimensional QED with Quantum Computing
• Towards overcoming the Monte Carlo sign problem with tensor networks
• Phase structure of the CP(1) model in the presence of a topological $\theta$-term
• High quality Nelson-Barr solution to the strong CP problem with $\theta =\pi$
• Quark masses, the Dashen phase, and gauge field topology
• Mass Renormalization of the Schwinger Model with Wilson and Staggered Fermions in the Hamiltonian Lattice Formulation

Cited by in corpus (11)

• Phase Diagram of the Two-Flavor Schwinger Model at Zero Temperature
• Digital quantum simulation of a (1+1)D SU(2) lattice gauge theory with ion qudits
• Liouvillian Dynamics of the Open Schwinger Model: String Breaking and Kinetic Dissipation in a Thermal Medium
• Tensor Networks for Lattice Gauge Theories beyond one dimension: a Roadmap
• Studying the phase diagram of the three-flavor Schwinger model in the presence of a chemical potential with measurement- and gate-based quantum computing
• Toward hybrid quantum simulations with qubits and qumodes on trapped-ion platforms
• Solving lattice gauge theories using the quantum Krylov algorithm and qubitization
• Meson thermalization with a hot medium in the open Schwinger model
• Hamiltonian Lattice Formulation of Compact Maxwell-Chern-Simons Theory
• Chiral and isospin breaking in the two-flavor Schwinger Model
• Fermion Discretization Effects in the Two-Flavor Lattice Schwinger Model: A Study with Matrix Product States