Wave mixing of hybrid Bogoliubov modes in a Bose-Einstein condensate

Mode-mixing of coherent excitations of a trapped Bose-Einstein condensate is modeled using the Bogoliubov approximation. Calculations are presented for second-harmonic generation between the two lowest-lying even-parity m=0 modes in an oblate spheroidal trap. Hybridization of the modes of the breather (l=0) and surface (l=4) states leads to the formation of a Bogoliubov dark state near phase-matching resonance so that a single mode is coherently populated. Efficient harmonic generation requires a strong coupling rate, sharply-defined and well-separated frequency spectrum, and good phase matching. We find that in all three respects the quantal results are significantly different from hydrodynamic predictions. Typically the second-harmonic conversion rate is half that given by an equivalent hydrodynamic estimate.

Qubit Residence Time Measurements with a Bose-Einstein Condensate

We show that an electrostatic qubit located near a Bose-Einstein condensate trapped in a symmetric double-well potential can be used to measure the duration the qubit has spent in one of its quantum states. The strong, medium, and weak measurement regimes are analyzed. The analogy between the residence and the traversal (tunnelling) times is highlighted.

Unusual decoherence in qubit measurements with a Bose-Einstein condensate

We consider an electrostatic qubit located near a Bose-Einstein condensate (BEC) of noninteracting bosons in a double-well potential, which is used for qubit measurements. Tracing out the BEC variables we obtain a simple analytical expression for the qubit's density matrix. The qubit's evolution exhibits a slow (proportional to 1/root t) damping of the qubit's coherence term, which however turns to be a Gaussian one in the case of static qubit. This is in contrast to the exponential damping produced by most classical detectors. The decoherence is, in general, incomplete and strongly depends on the initial state of the qubit.

Structural change of vortex patterns in anisotropic Bose-Einstein condensates

We study the changes in the spatial distribution of vortices in a rotating Bose-Einstein condensate due to an increasing eccentricity of the trapping potential. By breaking the rotational symmetry, the vortex system undergoes a rich variety of structural changes, including the formation of zigzag and linear configurations. These spatial rearrangements are well signaled by the change in the behavior of the vortex-pattern eigenmodes against the eccentricity parameter. This behavior allows to actively control the distribution of vorticity in many-body systems and opens the possibility of studying interactions between quantum vortices over a large range of parameters.

Collective decoherence of cold atoms coupled to a Bose-Einstein condensate

We examine the time evolution of cold atoms (impurities) interacting with an environment consisting of a degenerate bosonic quantum gas. The impurity atoms differ from the environment atoms, being of a different species. This allows one to superimpose two independent trapping potentials, each being effective only on one atomic kind, while transparent to the other. When the environment is homogeneous and the impurities are confined in a potential consisting of a set of double wells, the system can be described in terms of an effective spin-boson model, where the occupation of the left or right well of each site represents the two (pseudo)-spin states. The irreversible dynamics of such system is here studied exactly, i.e. not in terms of a Markovian master equation. The dynamics of one and two impurities is remarkably different in respect of the standard decoherence of the spin-boson system. In particular, we show: (i) the appearance of coherence oscillations, (ii) the presence of super and subdecoherent states that differ from the standard ones of the spin-boson model, and (iii) the persistence of coherence in the system at long times. We show that this behaviour is due to the fact that the pseudospins have an internal spatial structure. We argue that collective decoherence also prompts information about the correlation length of the environment. In a one-dimensional (1D) configuration, one can change even more strongly the qualitative behaviour of the dephasing just by tuning the interaction of the bath.

Collapse versus growth for a Bose-Einstein condensate with attractive interactions

Using a model potential approach, we study the time-dependent behavior of a Bose-Einstein condensate with negative scattering length during its collapse in the zero-temperature limit. The condensate is modeled through an effective potential, which linearizes the Schrodinger equation, in order to obtain an intuitive visualization of the dynamics of the condensate. We find that a substantial fraction of the condensate survives the collapse. The origin for this survival is the reappearance of a barrier in the effective potential during the collapse. In contrast to previous calculations, the present calculations indicate that the size of the residual condensate strongly depends on the growth rate of the condensate. The present results are compared to other theoretical calculations and to experimental work.

Il Piano della Performance 2011-2013 dei Comuni italiani di medie e grandi dimensioni: allineamento normativo e adeguatezza programmatica in ottica economico-aziendale

Il presente lavoro intende individuare le possibili configurazioni di Piano della Performance (PdP) utilizzabili dagli enti locali, provvedendo poi a delineare il livello di distribuzione e di allineamento dei PdP 2011-2013 dei Comuni medi e grandi rispetto alle suddette configurazioni. Inoltre, verrà valutato, tramite una griglia predisposta dagli autori, il livello di adeguatezza programmatica dei Piani della Performance dei Comuni medi e grandi, al fine di confermare le configurazioni esistenti o di proporne una nuova in caso di inadeguatezza delle prime.

Il Piano della Performance nei Comuni medi. La proposta di una nuova configurazione per superare l’inadeguatezza delle prime applicazioni

Il D.Lgs. 150/09 ha inteso dar vita ad una “riforma organica” della PA italiana, improntandone il funzionamento a logiche di programmazione e controllo delle performance. Attorno a tale concetto la riforma ha costruito un Sistema teso a programmare, misurare, controllare, valutare e comunicare la performance degli enti. Il lavoro si focalizza sulla programmazione, e in particolare sullo strumento cardine introdotto dal D.Lgs. 150/09: il Piano della Performance (PdP). Il contributo, basato su una metodologia deduttivo-induttiva, si concentra sui comuni medi italiani, scelti in quanto statisticamente rappresentativi del livello medio di complessità degli enti locali. Sono stati oggetto di indagine i PdP pubblicati sui siti istituzionali degli enti considerati, al fine di verificarne sia il livello di aderenza alle Linee Guida (LG) emanate dalla Commissione Indipendente per la Valutazione, la Trasparenza e l’Integrità delle amministrazioni pubbliche (CIVIT) e dalla Associazione Nazionale Comuni Italiani (ANCI), sia il loro livello di adeguatezza economico-aziendale. Preliminarmente si indagherà il tema della programmazione, sotto il profilo normativo-dottrinale, concentrandosi su soggetti, processi e strumenti. Poi si sposterà il focus sul PdP: dopo aver definito obiettivi, quesiti e metodologia della ricerca, verranno esplicitate le configurazioni di PdP emergenti dalle LG CIVIT e ANCI. Verranno poi illustrati i risultati della ricerca empirica, mettendo in luce il livello di allineamento dei PdP dei comuni medi alle LG, nonché il livello di adeguatezza economico-aziendale degli stessi. Si tratteggeranno quindi alcune brevi conclusioni.