Abstract
AbstractWe applied an optimal control algorithm to an ultra-cold atomic system for constructing an atomic Sagnac interferometer in a ring trap. We constructed a ring potential on an atom chip by using an RF-dressed potential. A field gradient along the radial direction in a ring trap known as the dimple-ring trap is generated by using an additional RF field. The position of the dimple is moved by changing the phase of the RF field [1]. For Sagnac interferometers, we suggest transferring Bose–Einstein condensates to a dimple-ring trap and shaking the dimple potential to excite atoms to the vibrational-excited state of the dimple-ring potential. The optimal control theory is used to find a way to shake the dimple-ring trap for an excitation. After excitation, atoms are released from the dimple-ring trap to a ring trap by adiabatically turning off the additional RF field, and this constructs a Sagnac interferometer when opposite momentum components are overlapped. We also describe the simulation to construct the interferometer.
Highlights
Atom interferometers are dynamic tools applied for precision measurements and for studying the wave nature of interacting matter over the past few decades
When the 1D trapping potential is in black (Figure 2), we solved the Gross–Pitaevskii equation (GPE) to find the ground state of condensed atoms, and the excited state is calculated by optimizing GPE orthogonality with the ground state
In order to add a bi-directional momentum, we suggest using the excited state
Summary
Atom interferometers are dynamic tools applied for precision measurements and for studying the wave nature of interacting matter over the past few decades. It was adopted to optimize atomic systems and manipulate the desired atomic states such as ±nħk momentum states or excited states [19,20,28,29,30,31,32]. It is used for machine-learning when it works with closed-loop control and constructing atom interferometers to find ways to get interferometric components. We describe a process to demonstrate an atomic Sagnac interferometer using ultra-cold atoms by using a vibrational-excited state in a ring trap potential. We simulated the Sagnac interferometry when opposite momentum components are overlapped
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