Tuning the Topological $\theta$-Angle in Cold-Atom Quantum Simulators of Gauge Theories

Abstract

The topological $\theta$-angle in gauge theories engenders a series of fundamental phenomena, including violations of charge-parity (CP) symmetry, dynamical topological transitions, and confinement--deconfinement transitions. At the same time, it poses major challenges for theoretical studies, as it implies a sign problem in numerical simulations. Analog quantum simulators open the promising prospect of treating quantum many-body systems with such topological terms, but, contrary to their digital counterparts, they have not yet demonstrated the capacity to control the $\theta$-angle. Here, we demonstrate how a tunable topological $\theta$-term can be added to a prototype theory with $\mathrm{U}(1)$ gauge symmetry, a discretized version of quantum electrodynamics in one spatial dimension. As we show, the model can be realized experimentally in a single-species Bose--Hubbard model in an optical superlattice with three different spatial periods, thus requiring only standard experimental resources. Through numerical calculations obtained from the time-dependent density matrix renormalization group method and exact diagonalization, we benchmark the model system, and illustrate how salient effects due to the $\theta$-term can be observed. These include charge confinement, the weakening of quantum many-body scarring, as well as the disappearance of Coleman's phase transition due to explicit breaking of CP symmetry. This work opens the door towards studying the rich physics of topological gauge-theory terms in large-scale cold-atom quantum simulators.

arXiv comment20 pages, 11 figures, journal article

References in corpus (75)

• Many-Body Physics with Ultracold Gases
• Quantum Simulation
• Probing many-body dynamics on a 51-atom quantum simulator
• The Chiral Magnetic Effect
• The effects of topological charge change in heavy ion collisions: "Event by event P and CP violation"
• Efficient simulation of one-dimensional quantum many-body systems
• A quantum gas microscope - detecting single atoms in a Hubbard regime optical lattice
• Real time evolution using the density matrix renormalization group
• Perfect state transfer in quantum spin networks
• Time-dependent density-matrix renormalization-group using adaptive effective Hilbert spaces
• Quantum many-body scars
• Real-time dynamics of lattice gauge theories with a few-qubit quantum computer
• Dynamics of a Quantum Phase Transition
• Chiral Magnetic and Vortical Effects in High-Energy Nuclear Collisions --- A Status Report
• Experimental Searches for the Axion and Axion-like Particles
• Time-evolution methods for matrix-product states
• Self-Verifying Variational Quantum Simulation of the Lattice Schwinger Model
• Quantum Many-Body Scars and Weak Breaking of Ergodicity
• Simulating Lattice Gauge Theories within Quantum Technologies
• From density-matrix renormalization group to matrix product states
• Electric Dipole Moments of the Atoms, Molecules, Nuclei and Particles
• 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
• Floquet approach to ${\mathbb{Z}}_2$ lattice gauge theories with ultracold atoms in optical lattices
• Atomic Quantum Simulation of Dynamical Gauge Fields coupled to Fermionic Matter: From String Breaking to Evolution after a Quench
• Real time confinement following a quantum quench to a non-integrable model
• Quantum Link Models: A Discrete Approach to Gauge Theories
• Systematic Construction of Counterexamples to the Eigenstate Thermalization Hypothesis
• Observation of gauge invariance in a 71-site Bose-Hubbard quantum simulator
• Exact Quantum Many-Body Scar States in the Rydberg-Blockaded Atom Chain
• Exact Excited States of Non-Integrable Models
• Realization of density-dependent Peierls phases to engineer quantized gauge fields coupled to ultracold matter
• Lattice gauge theories and string dynamics in Rydberg atom quantum simulators
• Lattice gauge theories simulations in the quantum information era
• SU(2) non-Abelian gauge field theory in one dimension on digital quantum computers
• Realizing a scalable building block of a U(1) gauge theory with cold atomic mixtures
• Quantum Computer Systems for Scientific Discovery
• Disorder-Free Localization
• Nonequilibrium electron transport using the density matrix renormalization group
• QCD thermalization: Ab initio approaches and interdisciplinary connections
• Many-body localization dynamics from gauge invariance
• Time-step targetting methods for real-time dynamics using DMRG
• Review on novel methods for lattice gauge theories
• Density Matrix Renormalisation Group Approach to the Massive Schwinger Model
• U(1) Wilson lattice gauge theories in digital quantum simulators
• Matrix product states for gauge field theories
• Confined Quasiparticle Dynamics in Long-Range Interacting Quantum Spin Chains
• Time evolution algorithms for Matrix Product States and DMRG
• Quantum simulation of a lattice Schwinger model in a chain of trapped ions
• Cooling and entangling ultracold atoms in optical lattices
• Prethermalization and Persistent Order in the Absence of a Thermal Phase Transition
• Density Induced Phase Transitions in the Schwinger Model: A Study with Matrix Product States
• Simulating fermion production in 1+1 dimensional QED
• Chiral Magnetic Effect Task Force Report
• Real-time dynamics of string breaking
• Dynamical topological transitions in the massive Schwinger model with a θ-term
• Theta dependence, sign problems and topological interference
• Reliability of lattice gauge theories
• Critical behavior of lattice Schwinger model with topological term at $\theta =\pi$ using Grassmann tensor renormalization group
• Finite-representation approximation of lattice gauge theories at the continuum limit with tensor networks
• Analog Quantum Simulation of (1+1)D Lattice QED with Trapped Ions
• Real-time chiral dynamics from a digital quantum simulation
• Confinement and string breaking for QED${}_2$ in the Hamiltonian picture
• Quasiparticle origin of dynamical quantum phase transitions
• Spin-dependent Optical Superlattice
• Tensor Networks and their use for Lattice Gauge Theories
• Confinement and Mott transitions of dynamical charges in 1D lattice gauge theories
• Tunable Confinement-Deconfinement Transition in an Ultracold Atom Quantum Simulator
• Robustness of gauge-invariant dynamics against defects in ultracold-atom gauge theories
• Dynamical quantum phase transitions in a noisy lattice gauge theory
• The Lattice Schwinger Model: Confinement, Anomalies, Chiral Fermions and All That
• Lattice gauge theory and dynamical quantum phase transitions using noisy intermediate scale quantum devices
• Confinement: a real-time visualization
• Theta vacuum in different gauges

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• Realistic scheme for quantum simulation of ${\mathbb{Z}}_2$ lattice gauge theories with dynamical matter in $(2+1)$D
• High-Energy Collision of Quarks and Mesons in the Schwinger Model: From Tensor Networks to Circuit QED
• Interrelated Thermalization and Quantum Criticality in a Lattice Gauge Simulator
• Tunable Confinement-Deconfinement Transition in an Ultracold Atom Quantum Simulator
• Scattering wave packets of hadrons in gauge theories: Preparation on a quantum computer
• Functional building blocks for scalable multipartite entanglement in optical lattices
• Emergent Gauge Theory in Rydberg Atom Arrays
• Variational quantum simulation of U(1) lattice gauge theories with qudit systems
• Computing the Mass Shift of Wilson and Staggered Fermions in the Lattice Schwinger Model with Matrix Product States
• Simple Hamiltonian for Quantum Simulation of Strongly Coupled 2+1D SU(2) Lattice Gauge Theory on a Honeycomb Lattice
• Quantum simulation of entanglement and hadronization in jet production: lessons from the massive Schwinger model
• A Cold-Atom Particle Collider
• Loop-string-hadron approach to SU(3) lattice Yang-Mills theory: I. Hilbert space of a trivalent vertex
• Bridging quantum criticality via many-body scarring
• $Abinitio$ derivation of lattice gauge theory dynamics for cold gases in optical lattices
• State Preparation in the Heisenberg Model through Adiabatic Spiraling
• Ergodicity Breaking Under Confinement in Cold-Atom Quantum Simulators
• Preparation for Quantum Simulation of the 1+1D O(3) Non-linear σ-Model using Cold Atoms
• Real-time Dynamics of the Schwinger Model as an Open Quantum System with Neural Density Operators
• Gauge theory description of Rydberg atom arrays with a tunable blockade radius
• Quantum thermodynamics of nonequilibrium processes in lattice gauge theories
• Hilbert space fragmentation at the origin of disorder-free localization in the lattice Schwinger model
• Large-Scale $2+1$D $\mathrm{U}(1)$ Gauge Theory with Dynamical Matter in a Cold-Atom Quantum Simulator
• Quantum many-body scars in spin-1 Kitaev chain with uniaxial single-ion anisotropy
• Meson content of entanglement spectra after integrable and nonintegrable quantum quenches
• Non-thermal dynamics in a spin-1/2 lattice Schwinger model
• Probing Confinement Through Dynamical Quantum Phase Transitions: From Quantum Spin Models to Lattice Gauge Theories
• Krylov Complexity Meets Confinement
• Exploring quantum criticality and ergodicity-breaking dynamics in spin-1 Kitaev chains via single-ion anisotropies
• String-Breaking Dynamics in Quantum Adiabatic and Diabatic Processes
• Mass-Assisted Local Deconfinement in a Confined ${\mathbb{Z}}_2$ Lattice Gauge Theory
• Dynamical deconfinement transition driven by density of excitations
• String breaking dynamics in Ising chain with local vibrations
• Partial confinement in a quantum-link simulator
• Z${}_2$ topological orders in kagomé dipolar systems: Feedback from Rydberg quantum simulator