Dynamical quantum phase transitions in a noisy lattice gauge theory
arXiv:2203.10927 · doi:10.1103/PhysRevB.105.224309
Abstract
Lattice gauge theories (LGTs) form an intriguing class of theories highly relevant to both high-energy particle physics and low-energy condensed matter physics with the rapid development of engineered quantum devices providing new tools to study e.g. dynamics of such theories. The massive Schwinger model is known to exhibit intricate properties of more complicated theories and has recently been shown to undergo dynamical quantum phase transitions out of equilibrium. With current technology, noise is inevitable and potentially fatal for a successful quantum simulation. This paper studies the dynamics subject to noise of a D U quantum link model following a quench of the sign of the mass term. We find that not only is the system capable of handling noise at rates realistic in NISQ-era devices, promising the possiblity to study the target dynamics with current technology, but the effect of noise can be understood in terms of simple models. Specifically the gauge-breaking nature of bit-flip channels results in exponential dampening of state amplitudes, and thus observables, which does not affect the structures of interest. This is especially important as it demonstrates that the gauge theory can be successfully studied with devices that only exhibit approximate gauge invariance.
arXiv comment12 pages, 8 figures. Changes: added references
References in corpus (36)
- Quantum Simulation
- Probing many-body dynamics on a 51-atom quantum simulator
- A Quantum Engineer's Guide to Superconducting Qubits
- Superconducting Qubits: Current State of Play
- Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances
- Measuring entanglement entropy through the interference of quantum many-body twins
- Geometric phases for mixed states in interferometry
- The Flux Qubit Revisited to Enhance Coherence and Reproducibility
- Simulating Lattice Gauge Theories within Quantum Technologies
- High-fidelity control and entanglement of Rydberg atom qubits
- Short-range quantum magnetism of ultracold fermions in an optical lattice
- Transmon qubit with relaxation time exceeding 0.5 milliseconds
- Single ion-qubit exceeding one hour coherence time
- Fast quantum logic gates with trapped-ion qubits
- The high-coherence fluxonium qubit
- Experimental realization of an intrinsically error-protected superconducting qubit
- Digital Quantum Simulation of the Schwinger Model and Symmetry Protection with Trapped Ions
- Real Time Dynamics and Confinement in the Schwinger-Weyl lattice model for 1+1 QED
- Trapped arrays of alkaline earth Rydberg atoms in optical tweezers
- Quantum Simulation of Lattice Gauge Theories in more than One Space Dimension -- Requirements, Challenges, Methods
- Dynamical topological transitions in the massive Schwinger model with a θ-term
- Sub-microsecond entangling gate between trapped ions via Rydberg interaction
- Gauge protection in non-Abelian lattice gauge theories
- Probing the coherence of solid-state qubits at avoided crossings
- Spin relaxation benchmarks and individual qubit addressability for holes in quantum dots
- Efficient quantum gates for individual nuclear spin qubits by indirect control
- Interfaces, Strings, and a Soft Mode in the Square Lattice Quantum Dimer Model
- Real-time simulation of (2+1)-dimensional lattice gauge theory on qubits
- Gauge invariant quantum circuits for and Yang-Mills lattice gauge theories
- Towards Quantum Simulations in Particle Physics and Beyond on Noisy Intermediate-Scale Quantum Devices
- Seconds-scale coherence on nuclear spin transitions of ultracold polar molecules in 3D optical lattices
- Experimental Measurement of Mixed State Geometric Phase by Quantum Interferometry using NMR
- Floquet Prethermal Phase Protected by U(1) Symmetry on a Superconducting Quantum Processor
- Lattice gauge theory and dynamical quantum phase transitions using noisy intermediate scale quantum devices
- Double-winding Wilson loops in SU(N) lattice Yang-Mills gauge theory
- Lattice study of area law for double-winding Wilson loops