Effect of Inter-Well Interactions on Non-Linear Beam Splitters for Matter-Wave Interferometers

Abstract

We study the non-linear beam splitter in matter-wave interferometers using ultracold quantum gases in a double-well configuration in presence of non-local interactions inducing inter-well density-density coupling, as they can be realized, e.g., with dipolar gases. We explore this effect after considering different input states, in the form of either coherent, or Twin-Fock, or NOON states. We first review the non-interacting limit and the case in which only the local interaction is present, including the study of sensitivity near the self-trapping threshold. Then, we consider the two-mode model in the presence of inter-well interactions and consider the scaling of the sensitivity as a function of the non-local coupling strength. Our analysis clearly shows that non-local interactions can compensate the degradation of the sensitivity induced by local interactions, so that they may be used to restore optimal sensitivity.

SuperFluctuations 2019: Fluctuations and Highly Non Linear Phenomena in Superfluids and Superconductors, Padova, September 2-4, 2019 http://www.multisuper.org/superfluctuations-2019

References in corpus (18)

• Many-Body Physics with Ultracold Gases
• Atom Interferometers
• Nonlinear atom interferometer surpasses classical precision limit
• Matter-wave interferometry in a double well on an atom chip
• Squeezing and entanglement in a Bose-Einstein condensate
• Precision Measurement of the Newtonian Gravitational Constant Using Cold Atoms
• Twin matter waves for interferometry beyond the classical limit
• 'Designer atoms' for quantum metrology
• Kitaev chains with long-range pairing
• Dynamics of a tunable superfluid junction
• Spin squeezing, entanglement and quantum metrology with Bose-Einstein condensates
• Condensate splitting in an asymmetric double well for atom chip based sensors
• Connecting dissipation and phase slips in a Josephson junction between fermionic superfluids
• Decoherence Dynamics in Low-Dimensional Cold Atom Interferometers
• Optimized Double-well quantum interferometry with Gaussian squeezed-states
• Non-Linear Beam Splitter in Bose-Einstein Condensate Interferometers
• Two-mode dipolar bosonic junctions
• Dynamical generation of phase-squeezed states in a two-component Bose-Einstein condensates