Adiabatic Mach-Zehnder Interferometry on A Quantized Bose-Josephson Junction

Abstract

We propose a scheme to achieve a Mach-Zehnder interferometry using a quantized Bose-Josephson junction with negative charging energy. The quantum adiabatic evolution through a dynamical bifurcation is used to accomplish the beam splitting and recombination. The negative charging energy ensures the existence of a path-entangled state which enhances the phase measurement precision to the Heisenberg limit. A feasible detection procedure is also presented. The scheme should be realizable with current technology.

Revised version, 4 pages, 4 figures, Accepted for publication in Physical Review Letters

References in corpus (21)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Cold bosonic atoms in optical lattices
• Quantum-enhanced measurements: beating the standard quantum limit
• Formation and Propagation of Matter Wave Soliton Trains
• Direct Observation of Tunneling and Nonlinear Self-Trapping in a single Bosonic Josephson Junction
• Many-particle entanglement with Bose--Einstein condensates
• Josephson Junction Arrays with Bose-Einstein Condensates
• Super-resolving phase measurements with a multi-photon entangled state
• Matter-wave interferometry in a double well on an atom chip
• De Broglie Wavelength of a Nonlocal Four-Photon
• Atom interferometry with Bose-Einstein condensates in a double-well potential
• Measurements of Relative Phase in Binary Mixtures of Bose-Einstein Condensates
• Mach-Zehnder Interferometry in a Strongly Driven Superconducting Qubit
• Condensates beyond mean field theory: quantum backreaction as decoherence
• Spontaneous soliton formation and modulational instability in Bose-Einstein condensates
• Coupled-mode theory for Bose-Einstein condensates
• Josephson effects in dilute Bose-Einstein condensates
• Enhanced Quantum Reflection of Matter-Wave Solitons
• Oscillatory decay of a two-component Bose-Einstein condensate
• Exact results for a tunnel-coupled pair of trapped Bose-Einstein condensates
• Phase-Dependent Spontaneous Spin Polarization and Bifurcation Delay in Coupled Two-Component Bose-Einstein Condensates

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