Efficient creation of maximally entangled states by modulation of tunneling rates

Abstract

For systems described by the two-site Bose-Hubbard Hamiltonian, we show that a sinusoidal modulation of the tunneling matrix element assists higher-order co-tunneling processes. Using this mechanism, we propose an efficient new scheme for creating a coherent superposition of states in which all particles are either on one site or all on the other site, the so-called NOON state. This scheme yields an almost perfect NOON state periodically. For larger numbers of particles, further reduction of the time to create the state is possible if more than one modulation frequency is employed. With this scheme, NOON states with a larger number of particles could be realized with state-of-the-art techniques for cold Bose gases in a double-well potential.

5 pages, 5 figures; title changed; published in Phys. Rev. A, Rapid Communications

References in corpus (6)

• Direct Observation of Second Order Atom Tunnelling
• Superfluid-insulator transition in a periodically driven optical lattice
• Ultracold Bosons in a Tilted Multi-level Double-Well Potential
• Macroscopic Superpositions of Phase States with Bose-Einstein Condensates
• Sub Shot-Noise interferometric phase sensitivity with Beryllium ions Schroedinger Cat States
• Reversal of the circulation of a vortex by quantum tunneling in trapped Bose systems

Cited by in corpus (19)

• Nonlinear quantum interferometry with Bose condensed atoms
• Dynamical Realization of Macroscopic Superposition States of Cold Bosons in a Tilted Double Well
• Optimal control of quantum superpositions in a bosonic Josephson junction
• Tunneling, self-trapping and manipulation of higher modes of a BEC in a double well
• Shortcuts to adiabatic cat-state generation in bosonic Josephson junctions
• Macroscopic Superposition of Ultracold Atoms with Orbital Degrees of Freedom
• Macroscopic superposition states of ultracold bosons in a double-well potential
• Floquet analysis of the modulated two-mode Bose-Hubbard model
• NOON states with ultracold bosonic atoms via resonance- and chaos-assisted tunneling
• Dissipation-induced squeezing
• Controlled quantum state transfer in $XX$ spin chains at the Quantum Speed Limit
• NOON States via Quantum Walk of Bound Particles
• Stability and Tunneling Dynamics of a Dark-Bright Soliton Pair in a Harmonic Trap
• Pretty good quantum state transfer on isotropic and anisotropic Heisenberg spin chains with tailored site dependent exchange couplings
• Floquet eigenspectra of a nonlinear two-mode system under periodic driving: the emergence of "ring" structures
• Two-mode dipolar bosonic junctions
• Multimode N00N states in driven atomtronic circuits
• Ground state of the double-well condensate for quantum metrology
• Quantum sensing with ultracold simulators in lattice and ensemble systems: a review