Coherent tunneling via adiabatic passage in a three-well Bose-Hubbard system

Abstract

We apply the Bose-Hubbard Hamiltonian to a three-well system and show analytically that coherent transport via adiabatic passage (CTAP) of $N$ non-interacting particles across the chain is possible. We investigate the effect of detuning the middle well to recover CTAP when on-site interparticle interactions would otherwise disrupt the transport. The case of small interactions is restated using first-order perturbation theory to develop criteria for adibaticity that define the regime where CTAP is possible. Within this regime we investigate restricting the Hilbert space to the minimum necessary basis needed to demonstrate CTAP, which dramatically increases the number of particles that can be efficiently considered. Finally, we compare the results of the Bose-Hubbard model to a mean-field three-mode Gross-Pitaevskii analysis for the equivalent system.

10 pages including 8 figures

References in corpus (31)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Efficient classical simulation of slightly entangled quantum computations
• Direct Observation of Tunneling and Nonlinear Self-Trapping in a single Bosonic Josephson Junction
• Quantum Coherent Atomic Tunneling between Two Trapped Bose-Einstein Condensates
• Matter-wave interferometry in a double well on an atom chip
• Direct Observation of Second Order Atom Tunnelling
• Coherent electronic transfer in quantum dot systems using adiabatic passage
• Spin transport and quasi 2D architectures for donor-based quantum computing
• Coherent tunneling by adiabatic passage in an optical waveguide system
• Coherent optical transfer of Feshbach molecules to a lower vibrational state
• Noise Thermometry with Two Weakly Coupled Bose-Einstein Condensates
• Mean-field dynamics of a Bose-Einstein condensate in a time-dependent triple-well trap: Nonlinear eigenstates, Landau-Zener models and STIRAP
• Three level atom optics via the tunneling interaction
• Josephson Oscillation and Transition to Self-Trapping for Bose-Einstein-Condensates in a Triple-Well Trap
• Matterwave Transport Without Transit
• Landau-Zener Tunnelling in a Nonlinear Three-level System
• Semiclassical approach to Bose-Einstein condensates in a triple well potential
• Spatial adiabatic passage in a realistic triple well structure
• Accurate multi-boson long-time dynamics in triple-well periodic traps
• Integrability, stability, and adiabaticity in nonlinear stimulated Raman adiabatic passage
• Coherent population transfer in a chain of tunnel coupled quantum dots
• Dynamics of a Bose-Einstein condensate in a symmetric triple-well trap
• STIRAP transport of Bose-Einstein condensate in triple-well trap
• Entanglement distillation by adiabatic passage in coupled quantum dots
• Coherent Tunneling Adiabatic Passage with the Alternating Coupling Scheme
• Phase Transition, Entanglement and Squeezing in a Triple-Well Condensate
• Interferometry using spatial adiabatic passage in quantum dot networks
• Generation of spatially-separated spin entanglement in a triple quantum dot system
• Semiclassical Spectrum of Small Bose-Hubbard Chains: A Normal Form Approach
• Using adiabatic coupling techniques in atom-chip waveguide structures
• Parallel interaction-free measurement using spatial adiabatic passage

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• Spatial adiabatic passage: a review of recent progress
• Long-range doublon transfer in a dimer chain induced by topology and ac fields
• Interacting bosons in a triple well: Preface of many-body quantum chaos
• Simulating spin chains using a superconducting circuit: gauge invariance, superadiabatic transport, and broken time-reversal symmetry
• Asymmetric steering in coherent transport of atomic population with a three-well Bose-Hubbard model
• Adiabatic passage through chaos
• Caustics in quantum many-body dynamics
• Quantum dynamics and entanglement in coherent transport of atomic population
• Quantum-classical correspondence of a system of interacting bosons in a triple-well potential
• The phase-separation mechanism of a binary mixture in a ring trimer
• Stable collective charging of ultracold atoms quantum batteries
• Challenges and constraints of dynamically emerged source and sink in atomtronic circuits: From closed-system to open-system approaches
• Interferometry using Adiabatic Passage in Dilute Gas Bose-Einstein Condensates
• Dark State Adiabatic Passage with spin-one particles
• Coherent transfer by adiabatic passage in two-dimensional lattices
• Second order tunneling of two interacting bosons in a driven triple well
• Adiabatic two-photon quantum gate operations using a long-range photonic bus
• Quantum ultra-cold atomtronics
• Spatial adiabatic passage via interaction-induced band separation
• Robust Multiple-Range Coherent Quantum State Transfer
• Many-body adiabatic passage: Quantum detours around chaos
• Quantification of the memory effect of steady-state currents from interaction-induced transport in quantum systems
• Directed transport in a classical lattice with a high-frequency driving
• A robust boson dispenser: Quantum state preparation in interacting many-particle systems
• Dark state adiabatic passage with branched networks and high-spin systems: spin separation and entanglement
• Spatial adiabatic passage of ultracold atoms in optical tweezers
• Stimulated Raman adiabatic passage-like protocols for amplitude transfer generalize to many bipartite graphs
• Finite-temperature entanglement and coherence in asymmetric bosonic Josephson junctions
• Particle-Number Threshold for Non-Abelian Geometric Phases