Geometric phase through spatial potential engineering
arXiv:1911.05842 · doi:10.1103/PhysRevLett.124.190401
Abstract
We propose a spatial analog of the Berry's phase mechanism for the coherent manipulation of states of non-relativistic massive particles moving in a two-dimensional landscape. In our construction the temporal modulation of the system Hamiltonian is replaced by a modulation of the confining potential along the transverse direction of the particle propagation. By properly tuning the model parameters the resulting scattering input-output relations exhibit a Wilczek-Zee non-abelian phase shift contribution that is intrinsically geometrical, hence insensitive to the specific details of the potential landscape. A theoretical derivation of the effect is provided together with practical examples.
arXiv comment10 pages, 5 figures
References in corpus (18)
- Artificial gauge potentials for neutral atoms
- Continuous-variable optical quantum state tomography
- Holonomic Quantum Computation
- Geometric Manipulation of Trapped Ions for Quantum Computation
- Observation of Berry's Phase in a Solid State Qubit
- Implementation of universal quantum gates based on nonadiabatic geometric phases
- Geometric Quantum Computation
- Berry phase for a spin 1/2 in a classical fluctuating field
- Holonomic Quantum Control by Coherent Optical Excitation in Diamond
- Non-Abelian phases, charge pumping, and quantum computation with Josephson junctions
- Optical manipulation of Berry phase in a solid-state spin qubit
- Exploring the Effect of Noise on the Berry Phase
- Environment-assisted quantum control of a solid-state spin via coherent dark states
- Spectrum of the non-abelian phase in Kitaev's honeycomb lattice model
- Geometric phase induced by a cyclically evolving squeezed vacuum reservoir
- Non-Abelian Geometric Phases and Conductance of Spin-3/2 Holes
- Conceptual aspects of geometric quantum computation
- Stretching potential engineering