Robustness of gauge-invariant dynamics against defects in ultracold-atom gauge theories
arXiv:2005.10249 · doi:10.1103/PhysRevResearch.2.033361
Abstract
Recent years have seen strong progress in quantum simulation of gauge-theory dynamics using ultracold-atom experiments. A principal challenge in these efforts is the certification of gauge invariance, which has recently been realized in [B.~Yang et al., arXiv:2003.08945]. One major but poorly investigated experimental source of gauge-invariance violation is an imperfect preparation of the initial state. Using the time-dependent density-matrix renormalization group, we analyze the robustness of gauge-invariant dynamics against potential preparation defects in the above ultracold-atom implementation of a gauge theory. We find defects related to an erroneous initialization of matter fields to be innocuous, as the associated gauge-invariance violation remains strongly localized throughout the time evolution. A defect due to faulty initialization of the gauge field leads to a mild proliferation of the associated violation. Furthermore, we characterize the influence of immobile and mobile defects by monitoring the spread of entanglement entropy. Overall, our results indicate that the aforementioned experimental realization exhibits a high level of fidelity in the gauge invariance of its dynamics at all evolution times. Our work provides strong evidence that ultracold-atom setups can serve as an extremely reliable framework for the quantum simulation of gauge-theory dynamics.
arXiv commentAccepted version. 20 pages, 11 figures. Videos of dynamics at https://www.youtube.com/watch?v=_FCrzldBtz8&list=PLoUsb3eaKix6xYrnNk68Bh3imd3II54gO
References in corpus (43)
- The density-matrix renormalization group in the age of matrix product states
- The density-matrix renormalization group
- Probing many-body dynamics on a 51-atom quantum simulator
- Efficient simulation of one-dimensional quantum many-body systems
- Real time evolution using the density matrix renormalization group
- Time-dependent density-matrix renormalization-group using adaptive effective Hilbert spaces
- Real-time dynamics of lattice gauge theories with a few-qubit quantum computer
- Self-Verifying Variational Quantum Simulation of the Lattice Schwinger Model
- Quantum dynamics of a single, mobile spin impurity
- Simulating Lattice Gauge Theories within Quantum Technologies
- From density-matrix renormalization group to matrix product states
- 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 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
- Quantum Link Models: A Discrete Approach to Gauge Theories
- 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
- Realizing a scalable building block of a U(1) gauge theory with cold atomic mixtures
- Nonequilibrium electron transport using the density matrix renormalization group
- Constrained dynamics via the Zeno effect in quantum simulation: Implementing non-Abelian lattice gauge theories with cold atoms
- Time-step targetting methods for real-time dynamics using DMRG
- U(1) Wilson lattice gauge theories in digital quantum simulators
- Topological Order at Non-zero Temperature
- Time evolution algorithms for Matrix Product States and DMRG
- Quantum simulation of a lattice Schwinger model in a chain of trapped ions
- Real-time Dynamics in U(1) Lattice Gauge Theories with Tensor Networks
- Cooling and entangling ultracold atoms in optical lattices
- Observation of Four-body Ring-exchange Interactions and Anyonic Fractional Statistics
- Quantum simulation of the Schwinger model: A study of feasibility
- Schwinger pair production with ultracold atoms
- Reliability of lattice gauge theories
- Analog Quantum Simulation of (1+1)D Lattice QED with Trapped Ions
- Removing Staggered Fermionic Matter in and Lattice Gauge Theories
- Quantum simulation of -dimensional U(1) gauge-Higgs model on a lattice by cold Bose gases
- Real time dynamics and proposal for feasible experiments of lattice gauge-Higgs model simulated by cold atoms
- Spin-dependent Optical Superlattice
- Localization of Toric Code Defects
- Quantum Simulation of Abelian Lattice Gauge Theories via State-Dependent Hopping
- Gauge Theories with Ultracold Atoms
- Domain-wall melting in ultracold boson systems with holes and spin-flip defects
Cited by in corpus (14)
- Observation of many-body scarring in a Bose--Hubbard quantum simulator
- Toward scalable simulations of Lattice Gauge Theories on quantum computers
- A gauge redundancy-free formulation of compact QED with dynamical matter for quantum and classical computations
- Tuning the Topological -Angle in Cold-Atom Quantum Simulators of Gauge Theories
- From Quantum Link Models to D-Theory: A Resource Efficient Framework for the Quantum Simulation and Computation of Gauge Theories
- Lattice Renormalization of Quantum Simulations
- Real-time simulation of (2+1)-dimensional lattice gauge theory on qubits
- Gauge invariant quantum circuits for and Yang-Mills lattice gauge theories
- Primitive Quantum Gates for an SU(3) Discrete Subgroup:
- Gauge Theory Couplings on Anisotropic Lattices
- A Cold-Atom Particle Collider
- Lattice gauge theory and dynamical quantum phase transitions using noisy intermediate scale quantum devices
- Many-Body Non-Hermitian Skin Effect with Exact Steady States in the Dissipative Quantum Link Model
- Partial confinement in a quantum-link simulator