Macroscopic Superposition of Ultracold Atoms with Orbital Degrees of Freedom

Abstract

We introduce higher dimensions into the problem of Bose-Einstein condensates in a double-well potential, taking into account orbital angular momentum. We completely characterize the eigenstates of this system, delineating new regimes via both analytical high-order perturbation theory and numerical exact diagonalization. Among these regimes are mixed Josephson- and Fock-like behavior, crossings in both excited and ground states, and shadows of macroscopic superposition states.

21 pages, 9 figures

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Cited by in corpus (23)

• Physics of higher orbital bands in optical lattices: a review
• Josephson physics of spin-orbit coupled elongated Bose-Einstein condensates
• Generating mesoscopic Bell states via collisions of distinguishable quantum bright solitons
• Scattering bright solitons: quantum versus mean-field behavior
• Sharp crossover from composite fermionization to phase separation in mesoscopic mixtures of ultracold bosons
• Tunneling, self-trapping and manipulation of higher modes of a BEC in a double well
• Two-mode effective interaction in a double-well condensate
• Relaxation, chaos, and thermalization in a three-mode model of a BEC
• Macroscopic Quantum Tunneling Escape of Bose-Einstein Condensates
• Macroscopic superposition states of ultracold bosons in a double-well potential
• NOON states with ultracold bosonic atoms via resonance- and chaos-assisted tunneling
• Mesoscopic superpositions of Tonks-Girardeau states and the Bose-Fermi mapping
• Vortex macroscopic superpositions in ultracold bosons in a double-well potential
• Progress towards quantum-enhanced interferometry with harmonically trapped quantum matter-wave bright solitons
• Suppressing nonadiabatic transitions during adiabatic generation of highly entangled states in bosonic Josephson junctions
• Entangling two distinguishable quantum bright solitons via collisions
• Detecting Macroscopic Indefiniteness of Cat States in Bosonic Interferometers
• Number squeezed and fragmented states of strongly interacting bosons in a double well
• Energy-level crossings and number-parity effects in a bosonic tunneling model
• Squeezed and fragmented states of strongly interacting bosons in a double well. Part II: Quantum Monte Carlo simulations
• Phase-matching condition for enhanced entanglement of colliding indistinguishable quantum bright solitons in a harmonic trap
• A method for the dynamics of vortices in a Bose-Einstein condensate: analytical equations of the trajectories of phase singularities
• Distinguishing mesoscopic quantum superpositions from statistical mixtures in periodically shaken double wells