Reference frame-independent model of a collective excitation atom interferometer
arXiv:2206.03756 · doi:10.1103/PhysRevA.107.023314
Abstract
We theoretically analyze the operating principles of a proposed matter-wave Sagnac interferometer utilizing Bose-Einstein condensate (BEC) phonon modes as an interference medium. Previous work found that the orbital angular momentum phonon modes of a ring-trapped BEC are split in frequency by rotations, leading to a measurable rotation signal. We develop an alternate description in which an imbalance in the counter-propagating modes' amplitudes (populations) is induced by the rotation of the system during condensation. This description gives analytic forms for the interferometric phase shift in 1D and is readily generalized to include mean-field interactions. To validate our findings, we simulate a ring-trapped BEC Sagnac interferometer in one dimension and demonstrate that measurement of an unknown rotation rate can be performed using a modified analysis. Our simulation data show strong agreement with our analytic results, and we further employ simulations to explore and clarify the role of superfluidity in this matter-wave Sagnac interferometer.
arXiv commentMain paper 8 pages, 8 figures
References in corpus (18)
- Nonreciprocal Photon Blockade
- An Atom Michelson Interferometer on a Chip Using a Bose-Einstein Condensate
- Long Phase Coherence Time and Number Squeezing of two Bose-Einstein Condensates on an Atom Chip
- Nonreciprocal Optomechanical Entanglement against Backscattering Losses
- A large magnetic storage ring for Bose-Einstein condensates
- The Sagnac effect: 20 years of development in matter-wave interferometry
- Mach-Zehnder Bragg interferometer for a Bose-Einstein Condensate
- Quantum rotation sensing with dual Sagnac interferometers in an atom-optical waveguide
- Sagnac Interferometry Using Bright Matter-Wave Solitons
- Collective Excitation Interferometry with a Toroidal Bose-Einstein Condensate
- Optically guided linear Mach Zehnder atom interferometer
- Rotational Response of Two-Component Bose-Einstein Condensates in Ring Traps
- A scalable Bose-Einstein condensate Sagnac interferometer in a linear trap
- Quantum Noise in Bright Soliton Matterwave Interferometry
- Spin-orbit coupled interferometry with ring-trapped Bose--Einstein condensates
- Multimode Trapped Interferometer with Ideal Bose-Einstein Condensates
- Non-spreading matter-wave packets in a ring
- Controlling the dynamical scale factor in a trapped atom Sagnac Interferometer