Search results for "Time evolution"
showing 10 items of 155 documents
Exactly solvable time-dependent models of two interacting two-level systems
2016
Two coupled two-level systems placed under external time-dependent magnetic fields are modeled by a general Hamiltonian endowed with a symmetry that enables us to reduce the total dynamics into two independent two-dimensional sub-dynamics. Each of the sub-dynamics is shown to be brought into an exactly solvable form by appropriately engineering the magnetic fields and thus we obtain an exact time evolution of the compound system. Several physically relevant and interesting quantities are evaluated exactly to disclose intriguing phenomena in such a system.
Fast separation of two trapped ions
2015
We design fast protocols to separate or recombine two ions in a segmented Paul trap. By inverse engineering the time evolution of the trapping potential composed of a harmonic and a quartic term, it is possible to perform these processes in a few microseconds without final excitation. These times are much shorter than the ones reported so far experimentally. The design is based on dynamical invariants and dynamical normal modes. Anharmonicities beyond the harmonic approximation at potential minima are taken into account perturbatively. The stability versus an unknown potential bias is also studied.
Damping and pseudo-fermions
2012
After a short abstract introduction on the time evolution driven by non self-adjoint hamiltonians, we show how the recently introduced concept of {\em pseudo-fermion} can be used in the description of damping in finite dimensional quantum systems, and we compare the results deduced adopting the Schr\"odinger and the Heisenberg representations.
Rising time of entanglement between scattering spins,
2009
We investigate the time evolution of entanglement in a process where a mobile particle is scattered by static spins. We show that entanglement increases monotonically during a transient and then saturates to a steady-state value. For a quasi-monochromatic mobile particle, the transient time depends only on the group-velocity and width of the incoming wavepacket and is insensitive to the interaction strength and spin-number of the scattering particles. These features do not depend on the interaction model and can be seen in various physical settings.
Some results on the dynamics and transition probabilities for non self-adjoint hamiltonians
2015
We discuss systematically several possible inequivalent ways to describe the dynamics and the transition probabilities of a quantum system when its hamiltonian is not self-adjoint. In order to simplify the treatment, we mainly restrict our analysis to finite dimensional Hilbert spaces. In particular, we propose some experiments which could discriminate between the various possibilities considered in the paper. An example taken from the literature is discussed in detail.
Non-markovian dynamics and spectrum of a moving atom strongly coupled to the field in a damped cavity
1993
Abstract We study the internal dynamics of an atom entering in its excited state in a damped cavity and strongly coupled to the field. We show that the time evolution of its dipole operator is described by a second order Langevin-like equation with time dependent coefficients. We use this equation to investigate the time dependence of the average population inversion and the spectrum of the emitted radiation. We discuss how Rabi oscillations are modified by the motion of the atom and how the spectrum changes from the vacuum Rabi doublet to a more complex structure having new lines, different frequency localizations and modified widths.
Dynamical formation of a hairy black hole in a cavity from the decay of unstable solitons
2016
Recent numerical relativity simulations within the Einstein--Maxwell--(charged-)Klein-Gordon (EMcKG) system have shown that the non-linear evolution of a superradiantly unstable Reissner-Nordstr\"om black hole (BH) enclosed in a cavity, leads to the formation of a BH with scalar hair. Perturbative evidence for the stability of such hairy BHs has been independently established, confirming they are the true endpoints of the superradiant instability. The same EMcKG system admits also charged scalar soliton-type solutions, which can be either stable or unstable. Using numerical relativity techniques, we provide evidence that the time evolution of some of these $\textit{unstable}$ solitons leads…
Evolution of the electron distribution function in intense laser-plasma interactions
1994
We report a numerical investigation of the time evolution of the electron distribution function (EDF) in a laser-embedded, fully ionized plasma. A distinctive feature of the calculations is removal of the frequently adopted assumption of small anisotropy of the EDF in velocity space. This requires solving a two-dimensional partial differential equation for the EDF. Within the adopted range of parameters, the EDF undergoes significant changes. An initially isotropic EDF transforms rapidly into an anisotropic one characterized by a longitudinal velocity scale larger than the perpendicular one. This longitudinal stretching persists for several cycles of the radiation field, implying the establ…
Oscillating ultra-cold neutron spectrometer
2019
The energy spectrum of ultra-cold neutrons (UCN) is very often a key point to determine the systematic effects in precision measurements utilizing UCN. The proposed novel method allows the in-situ measurements of the UCN velocity distribution and its time evolution. In addition, the proposed UCN spectrometer can be a handy diagnostic tool for monitoring the UCN spectrum in critical places in the transport system connecting an UCN source with experiments. In this paper, we present the preliminary results from measurements and simulations using the oscillating UCN spectrometer at the PSI UCN source.
Analysis of the incoherent intermediate scattering function in the framework of the idealized mode-coupling theory: A Monte Carlo study for polymer m…
1994
In this Monte Carlo simulation, we calculate the incoherent intermediate scattering function ${\mathrm{\ensuremath{\varphi}}}_{\mathit{q}}^{\mathit{s}}$(t) for a three-dimensional dense polymer melt after having made long relaxation runs in order to eliminate the history of the cooling procedure sufficiently. This function shows the signature of a two-step process in the temperature interval T\ensuremath{\in}[0.16,0.21] (the temperature is measured in units of an energy parameter introduced in the Hamiltonian of the model) whose time evolution was quantitatively analyzed in the framework of the idealized mode-coupling theory (MCT) within the \ensuremath{\beta}-relaxation regime. As a result…