Counterdiabatic control of transport in a synthetic tight-binding lattice
arXiv:2005.07052 · doi:10.1103/PhysRevResearch.2.043201
Abstract
Quantum state transformations that are robust to experimental imperfections are important for applications in quantum information science and quantum sensing. Counterdiabatic (CD) approaches, which use knowledge of the underlying system Hamiltonian to actively correct for diabatic effects, are powerful tools for achieving simultaneously fast and stable state transformations. Protocols for CD driving have thus far been limited in their experimental implementation to discrete systems with just two or three levels, as well as bulk systems with scaling symmetries. Here, we extend the tool of CD control to a discrete synthetic lattice system composed of as many as nine sites. Although this system has a vanishing gap and thus no adiabatic support in the thermodynamic limit, we show that CD approaches can still give a substantial, several order-of-magnitude, improvement in fidelity over naive, fast adiabatic protocols.
arXiv comment10 pages (+2 supplementary), 4 figures
References in corpus (50)
- Shortcuts to adiabaticity: concepts, methods, and applications
- Spin-orbit coupling in quantum gases
- Quantum simulation of frustrated magnetism in triangular optical lattices
- Shortcuts to adiabaticity
- Generation and manipulation of Schrödinger cat states in Rydberg atom arrays
- Shortcut to adiabatic passage in two and three level atoms
- Tunable gauge potential for neutral and spinless particles in driven lattices
- Shortcuts to adiabaticity by counter-diabatic driving
- Observation of the topological soliton state in the Su-Schrieffer-Heeger model
- High-fidelity quantum driving
- Optimal control technique for Many Body Quantum Systems dynamics
- Nearest neighbor tight binding models with an exact mobility edge in one dimension
- Observation of the topological Anderson insulator in disordered atomic wires
- Predicted mobility edges in one-dimensional incommensurate optical lattices: An exactly solvable model of Anderson localization
- Exploring the Single-Particle Mobility Edge in a One-Dimensional Quasiperiodic Optical Lattice
- Classical and quantum shortcuts to adiabaticity for scale-invariant driving
- Minimizing irreversible losses in quantum systems by local counter-diabatic driving
- Quantum Approximate Optimization of the Long-Range Ising Model with a Trapped-Ion Quantum Simulator
- Accelerated quantum control using superadiabatic dynamics in a solid-state lambda system
- Observation of topological transitions in interacting quantum circuits
- Tunable non-reciprocal quantum transport through a dissipative Aharonov-Bohm ring in ultracold atoms
- Experimental implementation of assisted quantum adiabatic passage in a single spin
- Localization in one-dimensional incommensurate lattices beyond the Aubry-André model
- Observation of a non-Abelian Yang Monopole: From New Chern Numbers to a Topological Transition
- Superadiabatic population transfer in a three-level superconducting circuit
- Measuring a topological transition in an artificial spin 1/2 system
- Adiabatic tracking of quantum many-body dynamics
- Shortcut to Adiabaticity in the Lipkin-Meshkov-Glick Model
- Engineering a flux-dependent mobility edge in disordered zigzag chains
- Shortcuts to adiabaticity for non-Hermitian systems
- Superadiabatic quantum friction suppression in finite-time thermodynamics
- Dynamical Quantum Hall Effect in the Parameter Space
- Atom-optics simulator of lattice transport phenomena
- Geometric Speed Limit of Accessible Many-Body State Preparation
- An atom optics approach to studying lattice transport phenomena
- Correlated dynamics in a synthetic lattice of momentum states
- Interacting atomic quantum fluids on momentum-space lattices
- The experimental realization of high-fidelity `shortcut-to-adiabaticity' quantum gates in a superconducting Xmon qubit
- Engineering tunable local loss in a synthetic lattice of momentum states
- Measuring the Berry Phase in a Superconducting Phase Qubit by a Shortcut to Adiabaticity
- Experimental demonstration of work fluctuations along a shortcut to adiabaticity with a superconducting Xmon qubit
- Shortcuts to adiabatic cat-state generation in bosonic Josephson junctions
- Applying machine learning optimization methods to the production of a quantum gas
- Measuring second Chern number from non-adiabatic effects
- Shortcuts to adiabaticity in the infinite-range Ising model by mean-field counter-diabatic driving
- Shortcut to adiabaticity in spinor condensates
- Can math beat gamers in Quantum Moves?
- Optimizing Quantum Gas Production by an Evolutionary Algorithm
- Yang monopoles and emergent three-dimensional topological defects in interacting bosons
- The Chern Numbers of Interaction-stretched Monopoles in Spinor Bose Condensates
Cited by in corpus (6)
- Counterdiabatic Optimised Local Driving
- Shortcuts to Dynamic Polarization
- Taming quantum systems: A tutorial for using shortcuts-to-adiabaticity, quantum optimal control, and reinforcement learning
- Counterdiabatic route for preparation of state with long-range topological order
- A numerical approach for calculating exact non-adiabatic terms in quantum dynamics
- Improving Variational Counterdiabatic Driving with Weighted Actions and Computer Algebra