Abstract
The dynamics of the quantum Fisher information of the parameters of the initial atomic state and atomic transition frequency is studied, in the framework of open quantum systems, for a static polarizable two-level atom coupled in the multipolar scheme to a bath of fluctuating vacuum electromagnetic fields in cosmic string space-time. Our results show that with the presence of cosmic string, the quantum Fisher information becomes position and atomic polarization dependent. It may be enhanced or depressed as compared to that in flat space-time case. Remarkably, when the atom is extremely close to the cosmic string and the polarization direction of the atom is perpendicular to the direction of the cosmic string, the quantum Fisher information has been totally protected from the fluctuating vacuum electromagnetic fields. So on the one hand, near a cosmic string, precision of estimation can be enhanced by ranging the radial distance between the probe atom and the cosmic string; on the other hand, the cosmic string can be sensed by studying the distribution of parameter induced state-separation.
Highlights
Gravity accelerations [8], clock synchronization [9], only to name a few
We plan to study the dynamics of the quantum Fisher information (QFI) of the parameters of the initial atomic state and atomic transition frequency, in the framework of open quantum systems, for a static polarizable two-level atom coupled in the multipolar scheme to a bath of fluctuating vacuum electromagnetic fields in cosmic string space-time and to analyze the precision-protection arrangement in cosmic string spacetime
When the polarization is perpendicular to the z-axis, i.e., αz = 0, the decay rate approaches zero, which means that the QFI is protected from electromagnetic vacuum fluctuations when the atom is extremely close to the cosmic string and the polarization direction of the atom is perpendicular to the direction of the cosmic string
Summary
One environment which no system can be isolated from is the vacuum that fluctuates all the time in quantum sense. In free flat space-time, vacuum fluctuations always make the QFI of initial parameter of the state of probe two-level atom decay [44]. We plan to study the dynamics of the QFI of the parameters of the initial atomic state and atomic transition frequency, in the framework of open quantum systems, for a static polarizable two-level atom coupled in the multipolar scheme to a bath of fluctuating vacuum electromagnetic fields in cosmic string space-time and to analyze the precision-protection arrangement in cosmic string spacetime. Since the cosmic string only modifies the global space-time topology while leaving the local space-time flatness intact, which is pretty like what a conducting boundary does to a flat space, we firstly consider the quantum metrology in cosmic string space-time For this purpose, let us study a static polarizable two-level atom interacting with fluctuating electromagnetic fields in vacuum in cosmic string space-time.
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