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Explanation and observability of diffraction in time
E. Torrontegui, J. Muñoz, Yue Ban +1
Diffraction in time (DIT) is a fundamental phenomenon in quantum dynamics due to time-dependent obstacles and slits. It is formally analogous to diffraction of light, and is expect…
Fast atomic transport without vibrational heating
E. Torrontegui, S. Ibáñez, Xi Chen +3
We use the dynamical invariants associated with the Hamiltonian of an atom in a one dimensional moving trap to inverse engineer the trap motion and perform fast atomic transport wi…
Transient energy excitation in shortcuts to adiabaticity for the time dependent harmonic oscillator
Xi Chen, J. G. Muga
There is recently a surge of interest to cut down the time it takes to change the state of a quantum system adiabatically. We study for the time-dependent harmonic oscillator the t…
Symmetries and time operators
G. C. Hegerfeldt, J. G. Muga
All covariant time operators with normalized probability distribution are derived. Symmetry criteria are invoked to arrive at a unique expression for a given Hamiltonian. As an app…
Structural and dynamical aspects of avoided-crossing resonances in a -level system
I. Lizuain, J. Echanobe, A. Ruschhaupt +2
In a recent publication [Phys. Rev. A 79, 065602 (2009)] it was shown that an avoided-crossing resonance can be defined in different ways, according to level-structural or dynamica…
Timescales of tunneling decay of a localized state
Yue Ban, E. Ya. Sherman, J. G. Muga +1
Motivated by recent time domain experiments on ultrafast atom ionization, we analyze the transients and timescales that characterize, besides the relatively long lifetime, the deca…