Ground state of the double-well condensate for quantum metrology

Abstract

We discuss theoretically the ground state of a Bose-Einstein condensate with attractive atom-atom interactions in a double-well trap as a starting point of Heisenberg-limited atom interferometry. The dimensionless parameter governing the quality of the ground state for this purpose is identified. The near-degeneracy between the ground state and the first excited state severely curtails the prospects of the thermally prepared ground state in quantum metrology.

References in corpus (4)

• Quantum metrology with a scanning probe atom interferometer
• Accurate Atom Counting in Mesoscopic Ensembles
• Creation of macroscopic quantum superposition states by a measurement
• Optimal measurement precision of a nonlinear interferometer

Cited by in corpus (5)

• NOON state of Bose atoms in the double-well potential via an excited state quantum phase transition
• Topological excitations in rotating Bose-Einstein condensates with Rashba-Dresselhaus spin-orbit coupling in a two-dimensional optical lattice
• Classical and quantum metrology of the Lieb-Liniger model
• Goldilocks Probes for Noisy Interferometry via Quantum Annealing to Criticality
• Many-body quantum metrology with scalar bosons in a single potential well