Detecting the critical point through entanglement in Schwinger model

Abstract

Using quantum simulations on classical hardware, we study the phase diagram of the massive Schwinger model with a $\theta$-term at finite chemical potential $\mu$. We find that the quantum critical point in the phase diagram of the model can be detected through the entanglement entropy and entanglement spectrum. As a first step, we chart the phase diagram using conventional methods by computing the dependence of the charge and chiral condensates on the fermion mass $m$, coupling constant $g$, and the chemical potential $\mu$. At zero density, the Schwinger model possesses a quantum critical point at $\theta =\pi$ and $m/g\simeq 0.33$. We find that the position of this quantum critical point depends on the chemical potential. Near this quantum critical point, we observe a sharp maximum in the entanglement entropy. Moreover, we find that the quantum critical point can be located from the entanglement spectrum by detecting the position of the gap closing point.

References in corpus (58)

• Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box
• Entanglement entropy and conformal field theory
• Low energy hadron physics in holographic QCD
• Coupling Superconducting Qubits via a Cavity Bus
• Entanglement spectrum of a topological phase in one dimension
• Real-time dynamics of lattice gauge theories with a few-qubit quantum computer
• Identifying Topological Order by Entanglement Entropy
• Building logical qubits in a superconducting quantum computing system
• Quantum Algorithms for Quantum Field Theories
• Quantum-Classical Computation of Schwinger Model Dynamics using Quantum Computers
• 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
• Atomic Quantum Simulation of U(N) and SU(N) Non-Abelian Lattice Gauge Theories
• A cold-atom quantum simulator for SU(2) Yang-Mills lattice gauge theory
• Lattice gauge theories simulations in the quantum information era
• Symmetry-resolved entanglement in many-body systems
• SU(2) non-Abelian gauge field theory in one dimension on digital quantum computers
• Simulating Compact Quantum Electrodynamics with ultracold atoms: Probing confinement and nonperturbative effects
• Density Matrix Renormalisation Group Approach to the Massive Schwinger Model
• Digitization of Scalar Fields for Quantum Computing
• Digital lattice gauge theories
• Quantum Algorithms for Simulating the Lattice Schwinger Model
• Loop, String, and Hadron Dynamics in SU(2) Hamiltonian Lattice Gauge Theories
• Towards simulating 2D effects in lattice gauge theories on a quantum computer
• Search for Efficient Formulations for Hamiltonian Simulation of non-Abelian Lattice Gauge Theories
• Simulations of Subatomic Many-Body Physics on a Quantum Frequency Processor
• Gluon Field Digitization for Quantum Computers
• Real Time Dynamics and Confinement in the ${\mathbb{Z}}_n$ Schwinger-Weyl lattice model for 1+1 QED
• Towards Quantum Simulating QCD
• Electron-Phonon Systems on a Universal Quantum Computer
• Two-dimensional Lattice Gauge Theories with Superconducting Quantum Circuits
• Spontaneous Emission in a Matter-Wave Open Quantum System
• Simulation of Nonequilibrium Dynamics on a Quantum Computer
• Non-Abelian $SU(2)$ Lattice Gauge Theories in Superconducting Circuits
• Gauge-invariant implementation of the Abelian Higgs model on optical lattices
• Parton Physics on a Quantum Computer
• Quantum simulation of the universal features of the Polyakov loop
• Quantum simulation of lattice gauge theories using Wilson fermions
• Fermion-Fermion Scattering in Quantum Field Theory with Superconducting Circuits
• Hamiltonian simulation in the low-energy subspace
• Deeply inelastic scattering structure functions on a hybrid quantum computer
• Real-time chiral dynamics from a digital quantum simulation
• Gluon Field Digitization via Group Space Decimation for Quantum Computers
• Toward scalable simulations of Lattice Gauge Theories on quantum computers
• Minimally-Entangled State Preparation of Localized Wavefunctions on Quantum Computers
• Sigma models on quantum computers
• Quantum simulation of scattering in the quantum Ising model
• Real-time non-perturbative dynamics of jet production: quantum entanglement and vacuum modification
• Symmetry-protected topological phases in lattice gauge theories: topological QED${}_2$
• Thermalization of Gauge Theories from their Entanglement Spectrum
• Quantum phase transitions in fully connected spin models: an entanglement perspective
• Relation between quantum fluctuations and the performance enhancement of quantum annealing in a nonstoquastic Hamiltonian
• Criticality of quantum energy teleportation at phase transition points in quantum field theory
• Real-time dynamics of Chern-Simons fluctuations near a critical point
• Quantum sensors for the generating functional of interacting quantum field theories
• Periodic ground state for the charged massive Schwinger model
• Holographic two dimensional QCD and Chern-Simons term

Cited by in corpus (9)

• QCD evolution of entanglement entropy
• Quantum simulation of entanglement and hadronization in jet production: lessons from the massive Schwinger model
• Quasiparton distributions in massive QED2: Toward quantum computation
• Entanglement in massive Schwinger model at finite temperature and density
• Real-time chiral dynamics at finite temperature from quantum simulation
• Entanglement as a probe of hadronization
• Beyond Energy: Teleporting Current, Charge, and More
• Robustness of quantum correlation in quantum energy teleportation
• Quantum-classical simulation of quantum field theory by quantum circuit learning