Fast state and trap rotation of a particle in an anisotropic potential
arXiv:1904.08987 · doi:10.1088/1751-8121/ab4a2f
Abstract
We study the dynamics of a quantum or classical particle in a two-dimensional rotating anisotropic harmonic potential. By a sequence of symplectic transformations for constant rotation velocity we find uncoupled normal generalized coordinates and conjugate momenta in which the Hamiltonian takes the form of two independent harmonic oscillators. The decomposition into normal-mode dynamics enables us to design fast trap-rotation processes to produce a rotated version of an arbitrary initial state, when the two normal frequencies are commensurate.
arXiv comment10 pages, 6 figures
References in corpus (16)
- Peres-Horodecki separability criterion for continuous variable systems
- Artificial gauge potentials for neutral atoms
- Shortcuts to adiabaticity
- Scalable ion traps for quantum information processing
- High fidelity transport of trapped-ion qubits through an X-junction trap array
- T-junction ion trap array for two-dimensional ion shuttling, storage and manipulation
- Correlation Matrices of Two-Mode Bosonic Systems
- Counteracting systems of diabaticities using DRAG controls: The status after 10 years
- Fast phase gates with trapped ions
- Fast transport of two ions in an anharmonic trap
- Fast transport of mixed-species ion chains within a Paul trap
- Fast separation of two trapped ions
- Coherent Control of the Rotational Degree of Freedom of a Two-Ion Coulomb Crystal
- Dynamical normal modes for time-dependent Hamiltonians in two dimensions
- Shortcuts to adiabaticity for an ion in a rotating radially-tight trap
- Fast expansions and compressions of trapped-ion chains