scholarly journals Geometric Phase Accumulation-Based Effects in the Quantum Dynamics of an Anisotropically Trapped Ion

2005 ◽  
Vol 23 (3-4) ◽  
pp. 125-134
Author(s):  
M. Scala ◽  
B. Militello ◽  
A. Messina
2004 ◽  
Vol 69 (6) ◽  
Author(s):  
Claudio Furtado ◽  
Carlos Alberto de Lima Ribeiro

2015 ◽  
Vol 30 (14) ◽  
pp. 1550072 ◽  
Author(s):  
L. R. Ribeiro ◽  
E. Passos ◽  
C. Furtado ◽  
J. R. Nascimento

We analyze the nonrelativistic quantum dynamics of a single neutral spin-half particle, with nonzero magnetic and electric dipole moments, moving in an external electromagnetic field in the presence of a Lorentz-symmetry violating background. We also study the geometric phase for this model taking in account the influence of the parameter that breaks the Lorentz-symmetry. These geometric phases are used to impose an upper bound on the background magnitude.


2020 ◽  
Vol 102 (3) ◽  
Author(s):  
Kai Müller ◽  
Kimmo Luoma ◽  
Walter T. Strunz

2021 ◽  
Author(s):  
Marwa Farag ◽  
Arkajit Mandal ◽  
Pengfei Huo

We investigate the Polariton induced conical intersection (PICI) created from coupling a diatomicmolecule with the quantized photon mode inside an optical cavity, and the corresponding BerryPhase effects. We use the rigorous Pauli-Fierz Hamiltonian to describe the quantum light-matterinteractions between a LiF molecule and the cavity, and exact quantum propagation to investigatethe polariton quantum dynamics. The molecular rotations relative to the cavity polarization directionplay a role as the tuning mode of the PICI, resulting in an effective CI even within a diatomic molecule.To clearly demonstrate the dynamical effects of the Berry phase, we construct two additional modelsthat have the same Born-Oppenheimer surface, but the effects of the geometric phase are removed.We find that when the initial wavefunction is placed in the lower polaritonic surface, the Berryphase causes aπphase-shift in the wavefunction after the encirclement around the CI, indicatedfrom the nuclear probability distribution. On the other hand, when the initial wavefunction is placedin the upper polaritonic surface, the geometric phase significantly influences the couplings betweenpolaritonic states and therefore, the population dynamics between them. These BP effects are furtherdemonstrated through the photo-fragment angular distribution. PICI created from the quantizedradiation field has the promise to open up new possibilities to modulate photochemical reactivities.


2021 ◽  
Vol 67 (5 Sep-Oct) ◽  
Author(s):  
Rasim Dermez ◽  
S. Abdel-Khalek ◽  
E. M. Khalil

A quantum scheme is presented by which a three-level trapped ion interacts with a two laser beams in the absence and presence of the e®ect of classical  field. We analyze the impact of the classical ¯eld and the Lamb-Dicke parameter (LDP) on the dynamical behavior of entanglement quanti¯er, population probabilities and the geometric phase. Based on four different variations of these two effects, LDP = 0.1, LDP=0.01 and ¯ = 0.0, ¯ = 0.49, the time dependence of geometric phase and populations probabilities are shown. The ¯nding emphasizes that both the time-dependent and LDP play an important role in the development of the entanglement, the geometric phase, ¯delity, and populations probabilities. This in-sight may be very useful in various applications in quantum optics and information processing.


2004 ◽  
Vol 42 (4) ◽  
pp. 599-604 ◽  
Author(s):  
Li Fei ◽  
Hai Wen-Hua ◽  
Chong Gui-Shu ◽  
Xie Qiong-Tao

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