Quantum state control of a Bose-Einstein condensate in an optical lattice
arXiv:2105.05667 · doi:10.1103/PRXQuantum.2.040303
Abstract
We report on the efficient design of quantum optimal control protocols to manipulate the motional states of an atomic Bose-Einstein condensate (BEC) in a one-dimensional optical lattice. Our protocols operate on the momentum comb associated with the lattice. In contrast to previous works also dealing with control in discrete and large Hilbert spaces, our control schemes allow us to reach a wide variety of targets by varying a single parameter, the lattice position. With this technique, we experimentally demonstrate a precise, robust and versatile control: we optimize the transfer of the BEC to a single or multiple quantized momentum states with full control on the relative phase between the different momentum components. This also allows us to prepare the BEC in a given eigenstate of the lattice band structure, or superposition thereof.
References in corpus (50)
- Quantum Simulation
- Artificial gauge potentials for neutral atoms
- Atomic quantum gases in periodically driven optical lattices
- Shortcuts to adiabaticity: concepts, methods, and applications
- Topological Bands for Ultracold Atoms
- Control of quantum phenomena: Past, present, and future
- Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
- Training Schrödinger's cat: quantum optimal control
- Universal digital quantum simulation with trapped ions
- Quantum error correction in a solid-state hybrid spin register
- Quantum Simulators: Architectures and Opportunities
- Time crystals: a review
- High-fidelity quantum driving
- Optimal control technique for Many Body Quantum Systems dynamics
- Topological quantum matter in synthetic dimensions
- Quantum control of molecular rotation
- Implementing a Universal Gate Set on a Logical Qubit Encoded in an Oscillator
- Second order gradient ascent pulse engineering
- Monotonically convergent optimization in quantum control using Krotov's method
- Fast machine-learning online optimization of ultra-cold-atom experiments
- Introduction to the Pontryagin Maximum Principle for Quantum Optimal Control
- Observation of tunable mobility edges in generalized Aubry-André lattices
- Singular extremals for the time-optimal control of dissipative spin 1/2 particles
- Optimal trajectories for efficient atomic transport without final excitation
- Analog quantum chemistry simulation
- Correction of Arbitrary Errors in Population Inversion of Quantum Systems by Universal Composite Pulses
- Optimal control of complex atomic quantum systems
- Optimal quantum control of Bose Einstein condensates in magnetic microtraps
- Interferometry with non-classical motional states of a Bose-Einstein condensate
- Bloch oscillations of ultracold atoms: a tool for a metrological determination of
- Smooth optimal quantum control for robust solid state spin magnetometry
- Optimal quantum control of Bose-Einstein condensates in magnetic microtraps: Comparison of GRAPE and Krotov optimization schemes
- Quantum Optimal Control in a Chopped Basis: Applications in Control of Bose-Einstein Condensates
- Vibrational state inversion of a Bose-Einstein condensate: optimal control and state tomography
- Experimental demonstration of shaken lattice interferometry
- Fast manipulation of Bose-Einstein condensates with an atom chip
- Shortcut loading atoms into an optical lattice
- Optimal control of the transport of Bose-Einstein condensates with atom chips
- Direct tunneling delay time measurement in an optical lattice
- Optimal control of Bose-Einstein condensates in three dimensions
- An atom interferometer with a shaken optical lattice
- Chaos-assisted tunneling resonances in a synthetic Floquet superlattice
- Hessian-based optimization of constrained quantum control
- Momentum state engineering and control in Bose-Einstein condensates
- Optimal shortcuts for atomic transport in anharmonic traps
- Ultrarobust calibration of an optical lattice depth based on a phase shift
- Optimal nonlinear coherent mode transitions in Bose-Einstein Condensates utilizing spatio-temporal controls
- Resonant excitations of a Bose Einstein condensate in an optical lattice
- Simplified landscapes for optimization of shaken lattice interferometry
- Observation and control of quantized scattering halos
Cited by in corpus (17)
- Introduction to Theoretical and Experimental aspects of Quantum Optimal Control
- GRAPE optimization for open quantum systems with time-dependent decoherence rates driven by coherent and incoherent controls
- Demonstration of a programmable optical lattice atom interferometer
- Phase-space distributions of Bose-Einstein condensates in an optical lattice: Optimal shaping and reconstruction
- A regular Hamiltonian halting ratchet for matter wave transport
- Principles of tractor atom interferometry
- Coherent Atom Transport via Enhanced Shortcuts to Adiabaticity: Double-Well Optical Lattice
- Quantum control of continuous systems via nonharmonic potential modulation
- Vector Atom Accelerometry in an Optical Lattice
- Optimal control of a Bose-Eintein Condensate in an optical lattice: The non-linear and two-dimensional cases
- Loop current states and their stability in small fractal lattices of Bose-Einstein condensates
- Application of the Pontryagin Maximum Principle to the robust time-optimal control of two-level quantum systems
- Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe
- Nano-welding of quantum spin- chains at minimal dissipation
- Multi-component states for trapped spin-1 Bose-Einstein Condensates in the presence of magnetic field
- Unitary Transformations using Robust Optimal Control on a Cold Atom Qudit
- Approaching the Quantum Speed Limit in Quantum Gates with Geometric Control