The state of a quantum system acquires phase factor, called the geometric phase, when taken around closed trajectory in parameter space, which depends only on geometry space. Because its sensitive nature, is instrumental capturing weak effects such as acceleration-induced noninertial field theoretic effects. In this paper, we study response circularly rotating detector inside an electromagnetic cavity. Using cavity, contribution to can be isolated from or strengthened relative inertial...

Abstract Discrete-time quantum walks are known to exhibit exotic topological states and phases. Physical realization of in a lossy environment may destroy these We investigate the behaviour presence environment. The environmental effects walk dynamics addressed using non-Hermitian Hamiltonian approach. show that phases robust against moderate losses. order one-dimensional split-step persists as long respects exact $${{\mathcal {P}}}{{\mathcal {T}}}$$ <mml:math...

Parrondo's paradox, a counterintuitive phenomenon where two losing strategies combine to produce winning outcome, has been subject of interest across various scientific fields, including quantum mechanics. In this study, we investigate the manifestation paradox in discrete-time walks. We demonstrate existence using space and time-dependent coins without need for higher-dimensional coin or adding decoherence system. Our results enhance feasibility practical implementations provide deeper...

Geodesics are the shortest curves between any two points on a given surface. in state space of quantum systems play an important role theory geometric phases, as these also along which acquired phase is zero. Null-phase (NPCs) generalization geodesics, defined zero even though they need not be points. Here, we present decomposition geodesics and NPCs higher-dimensional space, allows understanding intrinsic symmetries curves. We use Majorana star representation to decompose geodesic...

Recently, hybrid entanglement (HE), which involves entangling a qubit with coherent state, has demonstrated superior performance in various quantum information processing tasks, particularly key distribution [arXiv:2305.18906 (2023)]. Despite its theoretical advantages, the practical generation of these states laboratory been challenge. In this context, we introduce deterministic and efficient approach for generating HE using walks. Our method achieves remarkable fidelity 99.90 % just 20...

Geometric phase plays a fundamental role in quantum theory and accounts for wide phenomena ranging from the Aharanov-Bohm effect, integer fractional hall effects, topological phases of matter, including insulators, to name few. In this thesis, we have proposed fresh perspective geodesics null curves, which are key ingredients understanding geometric phase. We also looked at number applications phases, walks, non-inertial systems. The shortest curve between any two points on given surface is...