Phase-space distributions of Bose-Einstein condensates in an optical lattice: Optimal shaping and reconstruction
arXiv:2210.11112 · doi:10.1088/1367-2630/acaf9a
Abstract
We apply quantum optimal control to shape the phase-space distribution of Bose-Einstein condensates in a one-dimensional optical lattice. By a time-dependent modulation of the lattice position, determined from optimal control theory, we prepare, in the phase space of each lattice site, translated and squeezed Gaussian states, and superpositions of Gaussian states. Complete reconstruction of these non-trivial states is performed through a maximum likelihood state tomography. As a practical application of our method to quantum simulations, we initialize the atomic wavefunction in an optimal Floquet-state superposition to enhance dynamical tunneling signals.
arXiv comment10 pages, 9 figures
References in corpus (30)
- Artificial gauge potentials for neutral atoms
- Many-body quantum state tomography with neural networks
- Squeezing and entanglement in a Bose-Einstein condensate
- Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
- Quantum state reconstruction of the single-photon Fock state
- Reconstruction of non-classical cavity field states with snapshots of their decoherence
- Twin matter waves for interferometry beyond the classical limit
- Topological quantum matter in synthetic dimensions
- Iterative maximum-likelihood reconstruction in quantum homodyne tomography
- Matter wave lensing to picokelvin temperatures
- Introduction to the Pontryagin Maximum Principle for Quantum Optimal Control
- Optimal control of complex atomic quantum systems
- Entanglement Hamiltonian Tomography in Quantum Simulation
- Iterative algorithm for reconstruction of entangled states
- Interferometry with non-classical motional states of a Bose-Einstein condensate
- Direct characteristic-function tomography of quantum states of the trapped-ion motional oscillator
- Optimal quantum control of Bose-Einstein condensates in magnetic microtraps: Comparison of GRAPE and Krotov optimization schemes
- Experimental demonstration of shaken lattice interferometry
- Shortcut loading atoms into an optical lattice
- Quantum state control of a Bose-Einstein condensate in an optical lattice
- Production and characterization of a fragmented spinor Bose-Einstein condensate
- Direct tunneling delay time measurement in an optical lattice
- Chaos-assisted tunneling resonances in a synthetic Floquet superlattice
- A comparative study of estimation methods in quantum tomography
- Ultrarobust calibration of an optical lattice depth based on a phase shift
- Spin-squeezed states for metrology
- Direct measurement of the Wigner function of atoms in an optical trap
- Quantum mechanics on a circle: Husimi phase space distributions and semiclassical coherent state propagators
- A Reduction-Based Strategy for Optimal Control of Bose-Einstein Condensates
- Time-of-Flight Quantum Tomography of Single Atom Motion
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- Introduction to Theoretical and Experimental aspects of Quantum Optimal Control
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- Optimal control of a Bose-Eintein Condensate in an optical lattice: The non-linear and two-dimensional cases
- Unitary Transformations using Robust Optimal Control on a Cold Atom Qudit
- Fast momentum-selective transport of Bose-Einstein condensates via controlled non-adiabatic dynamics in optical lattices