NONINERTIAL EFFECTS IN QUANTUM SYSTEMS
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IISER Mohali
Abstract
The essence of many of the phenomena at the interface of quantum theory and general relativ-
ity can be studied under the much simpler setting of quantum physics in noninertial reference
frames. But, as their gravitational counterparts, the noninertial effects in quantum systems are
usually feeble, requiring large accelerations to be observable in traditional settings. In the first
part of this thesis we address the question of how to isolate and desirably enhance noninertial
effects in quantum systems so that they can be probed with current or near-future technology.
We deploy theoretical techniques from quantum optics, cavity-QED, open quantum system
dynamics, and the response of correlated quantum systems to tap into the latest experimental
advances in quantum measurement techniques and determine optimal setups in which weak
effects such as the ones mentioned can be detected. To this end, we study quantum effects
such as the geometric phase and radiative shifts in atomic spectra in noninertial setups inside
an electromagnetic cavity. The geometric phase is an observable of interest due to its sensi-
tive and accumulative nature. At the same time, radiative shifts hold interest due to intense
experimental activity surrounding atomic spectroscopy and the resultant high-precision mea-
surements of the spectral lines. We show that both the geometric phase and radiative shifts
lend themselves to the detection of noninertial effects in laboratory settings.
In the second part of this thesis, we study an atom interacting with a general quantum
electromagnetic field state in flat spacetime. We show that atomic emission and absorption
profiles, and momentum transferred to or from the atom can be written in terms of the initial
state expectation value of a real, positive operator. Further, using the atomic emission and
absorption profiles, we characterize field states which lead to a non-zero force on the atom.
We study the absorption and emission processes for the pulsed Fock and Coherent states of
the field in detail. This study forms a stepping stone for a more general study of atom-field
interaction in curved spacetime, which becomes essential with the growing interest in space-
based quantum communications and technologies