We describe the fissioning dynamics of Pu240 from a configuration in proximity outer fission barrier to full scission and formation fragments within an implementation density functional theory extended superfluid systems real-time dynamics. The emerge with properties similar those determined experimentally, while appears be quite complex, many excited shape pairing modes. evolution is found much slower than previously expected, ultimate role collective inertia negligible this fully...

The electromagnetic response function of a ${\mathrm{C}}_{60}$ cluster is calculated using linear-response theory. We find that the valence electrons are quite delocalized and show collective excitations. In low-energy part excitation spectrum, lowest allowed transition at \ensuremath{\Elzxh}\ensuremath{\omega}\ensuremath{\approxeq}3 eV strongly screened, other transitions below 6 moderately in agreement with experiment. also predict giant resonance an unusually high energy...

Exotic stochastic processes are shown to emerge in the quantum evolution of complex systems. Using influence function techniques, we consider dynamics a system coupled chaotic subsystem described through random matrix theory. We find that reduced density can display given by L\'evy stable laws. The classical limit these be related fractional kinetic equations. In particular, derive extension Kramers equation.

We study, in a fully nonperturbative calculation, dilute system of spin 1/2 interacting fermions, characterized by an infinite scattering length at finite temperatures. Various thermodynamic properties and the condensate fraction are calculated we also determine critical temperature for superfluid-normal phase transition this regime. The behavior appears as rather surprising unexpected mélange fermionic bosonic features. thermal response fermion BCS-BEC crossover should be classified that...

In the limit when two-body scattering length a is negative and much larger than effective interaction radius contribution to ground state energy due three-body correlations given by Efimov effect. For particular values of diluteness parameter rho/a/(3) can become dominant term density functional. Under these conditions both Bose-Einstein Fermi-Dirac systems could self-bound either boson droplets or fermion "designer nuclei" various sizes densities be manufactured.

We present a simple formalism for the evaluation of Casimir energy two spheres and sphere plane, in case scalar fluctuating field, valid at any separations. compare exact results with various approximation schemes establish when such become useful. The can be easily extended to number and/or planes three or arbitrary dimensions, variety boundary conditions nonoverlapping potentials/nonideal reflectors.

The quantum Monte Carlo method for spin-$\frac{1}{2}$ fermions at finite temperature is formulated dilute systems with an $s$-wave interaction. motivation and the formalism are discussed along descriptions of algorithm various numerical issues. We report on results energy, entropy, chemical potential as a function temperature. give upper bounds critical ${T}_{c}$ onset superfluidity, obtained by studying finite-size scaling condensate fraction. All these quantities were computed couplings...

A fully symmetry unrestricted time-dependent density functional theory extended to include pairing correlations is used calculate properties of the isovector giant dipole resonances deformed open-shell nuclei ${}^{172}$Yb (axially deformed), ${}^{188}$Os (triaxially and ${}^{238}$U deformed) demonstrate good agreement with experimental data on nuclear photo-absorption cross sections for two different Skyrme force parametrizations energy functionals SkP SLy4.

Calculations are presented for the time evolution of $^{240}$Pu from proximity outer saddle point until fission fragments well separated, using time-dependent density functional theory extended to superfluid systems. We have tested three families nuclear energy functionals and found that all exhibit a similar dynamics: collective motion is highly dissipative with little trace inertial dynamics, due one-body dissipation mechanism alone. This finding justifies validity overdamped approach some...

There is no unique and widely accepted definition of the complexity measure (CM) a many-fermion wave function in presence interactions. The simplest Slater determinant. In shell-model or configuration interaction (CI) other related methods, state represented as superposition large number determinants, which case CI calculations reaches about 20 billion terms [Johnson, arXiv:1809.07869]. Although practice this has been used CM for decades, it ill defined: not unique, depends on particular...

For quantum many-body systems with short-range correlations (SRCs), the intimate relationship between their magnitude, behavior of single-particle occupation probabilities at momenta larger than Fermi momentum, and entanglement entropy is a new qualitative aspect not studied exploited yet. A large body recent condensed matter studies indicate that time evolution describes non-equilibrium dynamics isolated strongly interacting systems, in manner similar to Boltzmann entropy, which strictly...

We introduce a natural and simple way to implement the regularization scheme of Hartree-Fock-Bogoliubov equations with zero range pairing interaction. The renormalization proves be equivalent energy cutoff position dependent running coupling constant.

The first detailed comparison between ab initio calculations of finite fermionic superfluid systems, performed recently by Chang and Bertsch [Phys. Rev. A 76, 021603(R), (2007)] von Stecher, Greene Blume [e-print arXiv:00705:0671v1], the extension density functional theory Superfluid Local Density Approximation (SLDA) is presented. It shown that SLDA reproduces total energies, number distributions in inhomogeneous systems along with energy normal state homogeneous systems. Unlike Kohn-Sham...

We present an extension of Nos\'e's method generating canonical distributions from pseudocanonical dynamics for standard Hamiltonians as well classical systems, where one cannot use a global set variables (e.g., system spins) and formulation does not apply.

We present strong theoretical evidence that a Larkin-Ovchinnikov (LOFF/FFLO) pairing phase is favored over the homogeneous superfluid and normal phases in three-dimensional unitary Fermi systems. Using density functional theory (DFT) based on latest quantum Monte Carlo calculations experimental results, we show this competitive large region of diagram. The oscillations number densities field have substantial amplitude, period some 3 to 10 times average interparticle separation. Within DFT,...

We calculate the one-body temperature Green's (Matsubara) function of unitary Fermi gas via quantum Monte Carlo, and extract spectral weight A(p,omega) using methods maximum entropy singular value decomposition. From we determine quasiparticle spectrum, which can be accurately parametrized by three functions temperature: an effective mass m{*}, a mean-field potential U, gap Delta. Below critical T{c}=0.15 epsilon{F} results for Delta reproduced independent model. find evidence pseudogap in...

Broyden's method, widely used in quantum chemistry electronic-structure calculations for the numerical solution of nonlinear equations many variables, is applied context nuclear many-body problem. Examples include unitary gas problem, density functional theory with Skyrme functionals, and coupled-cluster theory. The stability its ease use, rapid convergence rates make method a tool choice large-scale structure calculations.

In a recent article, Yefsah et al. [Nature (London) 499, 426 (2013)] report the observation of an unusual excitation in elongated harmonically trapped unitary Fermi gas. After phase imprinting domain wall, they observe oscillations almost order magnitude slower than predicted by any theory walls which interpret as "heavy soliton" inertial mass some 200 times larger free fermion or 50 expected for wall. We present compelling evidence that this "soliton" is instead quantized vortex ring,...

Superfluidity and superconductivity are remarkable manifestations of quantum coherence at a macroscopic scale. The dynamics superfluids has dominated the study these systems for decades now, but comprehensive theoretical framework is still lacking. We introduce local extension time-dependent density functional theory to describe fermionic superfluids. Within this approach one can correctly represent vortex quantization, generation, dynamics, transition from superfluid normal phase number...

We present variational Monte Carlo calculations of the neutron matter equation state using chiral nuclear forces. The ground-state wave function matter, containing nonperturbative many-body correlations, is obtained from auxiliary-field quantum simulations up to about 340 neutrons interacting on a $1{0}^{3}$ discretized lattice. evolution Hamiltonian chosen be attractive and spin independent in order avoid fermion sign problem constructed best reproduce broad features force. This facilitated...

The nature of the interaction between superfluid vortices and neutron star crust, conjectured by Anderson Itoh in 1975 to be at heart vortex creep cause glitches, has been a long-standing question astrophysics. Using qualitatively new approach, we follow dynamics as move response presence "nuclei" (nuclear defects crust). resulting motion is perpendicular force, similar spinning top when pushed. We show that nuclei repel characterize force per unit length line function element nucleus separation.

We present a minimal nuclear energy density functional (NEDF) called ``SeaLL1'' that has the smallest number of possible phenomenological parameters to date. SeaLL1 is defined by seven significant parameters, each related specific property. It describes masses even-even nuclei with mean error $0.97\phantom{\rule{0.16em}{0ex}}\mathrm{MeV}$ and standard deviation $1.46\phantom{\rule{0.16em}{0ex}}\mathrm{MeV}$, two-neutron two-proton separation energies rms errors...