Non-adiabatic many-atom quantum state control in few-well systems

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, r...

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Bibliographic Details
Published in:arXiv.org 2013-05
Main Authors: Tichy, Malte C, Mads Kock Pedersen, Mølmer, Klaus, Sherson, Jacob F
Format: Article
Language:English
Subjects:
Adiabatic flow
Controllability
Couplings
Eigenvectors
Interaction parameters
Level crossings
Stability
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1301.2991