Non-adiabatic many-atom quantum state control in few-well systems
arXiv:1301.2991 · doi:10.1103/PhysRevA.87.063422
Abstract
We present a fast scheme for arbitrary unitary control of interacting bosonic atoms in a double-well. Assuming fixed inter-well tunnelling rate and intra-well interaction strength, we control the many-atom state by a discrete sequence of shifts of the single-well energies. For strong interactions, resonant tunnelling transitions implement beam-splitter U(2) rotations among atom number eigenstates, which can be combined and, thus, permit full controllability. By numerically optimizing such sequences of couplings at avoided level crossings (CALC), we extend the realm of full controllability to a wide range of realistic interaction parameters, while we remain in the simple control space. We demonstrate the efficiency and the high achievable fidelity of our proposal with non-adiabatic population transfer, N00N-state creation, a C-NOT gate, and a transistor-like, conditional evolution of several atoms.
7 pages, 6 figures, extended version
References in corpus (12)
- Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
- Single-Spin Addressing in an Atomic Mott Insulator
- Controlled exchange interaction between pairs of neutral atoms in an optical lattice
- Robust optimal quantum gates for Josephson charge qubits
- Dynamic generation of spin-squeezed states in bosonic Josephson junctions
- Tunneling dynamics of few bosons in a double well
- Optimal control of atom transport for quantum gates in optical lattices
- Fast generation of spin-squeezed states in bosonic Josephson junctions
- Coherent control of mesoscopic tunneling in a Bose-Einstein condensate
- Global controllability with a single local actuator
- Controlling open quantum systems using fast transitions
- Generation of mesoscopic superpositions of a binary Bose-Einstein condensate in a slightly asymmetric double well
Cited by in corpus (10)
- Many-body state engineering using measurements and fixed unitary dynamics
- Characterization of Bose-Hubbard Models with Quantum Non-demolition Measurements
- Measurement-Assisted Quantum Communication in Spin Channels with Dephasing
- Quantum properties of a binary bosonic mixture in a double well
- Beyond mean-field behavior of large Bose-Einstein condensates in double-well potentials
- Optimal control of many-body quantum dynamics: chaos and complexity
- Enhancement of quantum speed limit time due to cooperative effects in multilevel systems
- Time-optimal control fields for quantum systems with multiple avoided crossings
- Single- and two-qubit quantum gates using superimposed optical lattice potentials
- Manipulating matter waves in an optical superlattice