Simulating long-range hopping with periodically-driven superconducting qubits
arXiv:2102.09590 · doi:10.1103/PhysRevResearch.3.033288
Abstract
Quantum computers are a leading platform for the simulation of many-body physics. This task has been recently facilitated by the possibility to program directly the time-dependent pulses sent to the computer. Here, we use this feature to simulate quantum lattice models with long-range hopping. Our approach is based on an exact mapping between periodically driven quantum systems and one-dimensional lattices in the synthetic Floquet direction. By engineering a periodic drive with a power-law spectrum, we simulate a lattice with long-range hopping, whose decay exponent is freely tunable. We propose and realize experimentally two protocols to probe the long tails of the Floquet eigenfunctions and to identify a scaling transition between weak and strong long-range couplings. Our work offers a useful benchmark of pulse engineering and opens the route towards quantum simulations of rich nonequilibrium effects.
arXiv comment9 pages, 7 figures
References in corpus (31)
- Dynamical suppression of decoherence in two-state quantum systems
- Observation of a Many-Body Dynamical Phase Transition with a 53-Qubit Quantum Simulator
- Statistical mechanics and dynamics of solvable models with long-range interactions
- Effective quantum spin systems with ion traps
- Non-local propagation of correlations in long-range interacting quantum systems
- Training Schrödinger's cat: quantum optimal control
- Spectral signatures of many-body localization with interacting photons
- Emergence and Frustration of Magnetic Order with Variable-Range Interactions in a Trapped Ion Quantum Simulator
- Reinforcement Learning in Different Phases of Quantum Control
- Second order gradient ascent pulse engineering
- Simulating quantum many-body dynamics on a current digital quantum computer
- Dynamical Quantum Phase Transitions in Spin Chains with Long-Range Interactions: Merging different concepts of non-equilibrium criticality
- Optimal quantum control using randomized benchmarking
- Thermodynamics and dynamics of systems with long-range interactions
- Qiskit Pulse: Programming Quantum Computers Through the Cloud with Pulses
- Fidelity-based Probabilistic Q-learning for Control of Quantum Systems
- When does reinforcement learning stand out in quantum control? A comparative study on state preparation
- Long-range critical exponents near the short-range crossover
- Can many-body localization persist in the presence of long-range interactions or long-range hopping?
- The crossover region between long-range and short-range interactions for the critical exponents
- Simulating the dynamics of braiding of Majorana zero modes using an IBM quantum computer
- Eigenmodes and thermodynamics of a Coulomb chain in a harmonic potential
- Criticality of Spin Systems with Weak Long-Range Interactions
- The world of long-range interactions: A bird's eye view
- Digital Simulation of Topological Matter on Programmable Quantum Processors
- Topological two-dimensional Floquet lattice on a single superconducting qubit
- Experimental implementation of non-Clifford interleaved randomized benchmarking with a controlled-S gate
- Floquet resonances close to the adiabatic limit and the effect of dissipation
- Quantum Parametric Resonance
- Ising chains with competing interactions in presence of long-range couplings
- Bloch-like energy oscillations
Cited by in corpus (4)
- Driving quantum systems with repeated conditional measurements
- Sub-diffusive phases in open clean long-range systems
- Quantum Transports in Two-Dimensions with Long Range Hopping: Shielding, Localization and the Extended Isolated State
- Engineering quasi-steady-state correlations in uncorrelated thermal states using stochastic driving