Showing papers by "Center for Theoretical Physics published in 2016"
TL;DR: In this article, the existence of a wide range of highly entangled states of heterogeneous multipartite systems consisting of $N>2$ parties such that every reduction to one and two parties is maximally mixed.
Abstract: Heterogeneous bipartite quantum pure states, composed of two subsystems with a different number of levels, cannot have both reductions maximally mixed. In this work, we demonstrate existence of a wide range of highly entangled states of heterogeneous multipartite systems consisting of $N>2$ parties such that every reduction to one and two parties is maximally mixed. Two constructions of generating genuinely multipartite maximally entangled states of heterogeneous systems for an arbitrary number of subsystems are presented. Such states are related to quantum error correction codes over mixed alphabets and mixed orthogonal arrays. Additionally, we show the advantages of considering heterogeneous systems in practical implementations of multipartite steering.
49 citations
TL;DR: In this article, the structure and evolution of a gamma ray burst central engine where an accreting torus has formed around the newly born black hole was studied. But the authors focused on the nuclear equation of state, which accounts for the degeneracy of relativistic electrons, protons, and neutrons in the dynamical simulation, instead of a standard polytropic -law.
Abstract: We calculate the structure and evolution of a gamma ray burst central engine where an accreting torus has formed around the newly born black hole. We study the general relativistic,MHD models and we self-consistently incorporate the nuclear equation of state. The latter accounts for the degeneracy of relativistic electrons, protons, and neutrons, and is used in the dynamical simulation, instead of a standard polytropic -law. The EOS provides the conditions for the nuclear pressure in the function of density and temperature, which evolve with time according to the conservative MHD scheme. We analyze the structure of the torus and outflowing winds, and compute the neutrino flux emitted through the nuclear reactions balance in the dense and hot matter. We also estimate the rate of transfer of the black hole rotational energy to the bipolar jets. Finally, we elaborate on the nucleosynthesis of heavy elements in the accretion flow and the wind, through computations of the thermonuclear reaction network. We discuss the possible signatures of the radioactive elements decay in the accretion flow. We suggest that further detailed modeling of the accretion flow in GRB engine, together with its microphysics, may be a valuable tool to constrain the black hole mass and spin. It can be complementary to the gravitational wave analysis, if the waves are detected with an electromagnetic counterpart.
18 citations
TL;DR: The one-parameter Fisher–Renyi measure of complexity for general d-dimensional probability distributions is introduced and its main analytic properties are discussed and this quantity is determined for the hydrogenic systems in terms of the quantum numbers of the Quantum states and the nuclear charge.
Abstract: In this work, the one-parameter Fisher–Renyi measure of complexity for general d-dimensional probability distributions is introduced and its main analytic properties are discussed. Then, this quantity is determined for the hydrogenic systems in terms of the quantum numbers of the quantum states and the nuclear charge.
17 citations
TL;DR: In this paper, the authors analyzed the crystal growth of the immiscible PbTe/CdTe multilayer system as an example of a self-organizing process and proposed a model accomplishing a bulk and surface diffusion together with an anisotropic mobility of the material components.
Abstract: The crystal growth of the immiscible PbTe/CdTe multilayer system is analyzed as an example of a self-organizing process. The immiscibility of the constituents leads to the observed morphological transformations such as an anisotropy driven formation of quantum dots and nanowires and to a phase separation at the highest temperatures. The proposed model accomplishes a bulk and surface diffusion together with an anisotropic mobility of the material components. We analyze its properties by kinetic Monte Carlo simulations and show that it is able to reproduce all of the structures observed experimentally during the process of the PbTe/CdTe growth. We show that all of the dynamical processes studied play an important role in the creation of zero-, one-, two-, and, finally, three-dimensional structures. The shape of the structures that are grown is different for relatively thick multilayers, when the bulk diffusion cooperates with the anisotropic mobility, as compared to the annealed structures for which only the isotropic bulk diffusion decides about the process. Finally, it is different again for thin multilayers when the surface diffusion is the most decisive factor. We compare our results with the experimentally grown systems and show that the proposed model explains the diversity of observed structures.
7 citations
TL;DR: In this article, the average values of the translational and spin degrees of freedom are derived from the Schrodinger-Pauli wave equation and they form a set of nine coupled nonlinear evolution equations.
Abstract: The motion of a neutral atom endowed with a magnetic moment interacting with the magnetic field is determined from the Ehrenfest-like equations of motion. These equations for the average values of the translational and spin degrees of freedom are derived from the Schrodinger-Pauli wave equation and they form a set of nine coupled nonlinear evolution equations. The numerical and analytic solutions of these equations are obtained for the combination of the rotating magnetic field of a wave carrying orbital angular momentum and a static magnetic field. The running wave traps the atom only in the transverse direction while the standing wave traps the atom also in the direction of the beam.
7 citations
TL;DR: In this paper, a generalization of usual round spheres in the flat Minkowski spacetime to the case of a generic four-dimensional spacetime manifold M was considered and the main result is a local existence theorem concerning such spheres.
Abstract: This paper deals with the generalization of usual round spheres in the flat Minkowski spacetime to the case of a generic four-dimensional spacetime manifold M. We consider geometric properties of sphere-like submanifolds in M and impose conditions on its extrinsic geometry, which lead to a definition of a rigid sphere. The main result is a local existence theorem concerning such spheres. For this purpose, we apply the surjective implicit function theorem. The proof is based on a detailed analysis of the linearized problem and leads to an eight-parameter family of solutions in case when the metric tensor g of M is from a certain neighborhood of the flat Minkowski metric. This contribution continues the study of rigid spheres in (Class. Quantum Grav. 30: 175010, 2013).
3 citations
Patent•
11 Feb 2016TL;DR: In this paper, a system for testing spontaneous social interactions of group-housed mice placed in an experimental apparatus comprising a plurality of compartments (101-104) bridged by corridors (105).
Abstract: A system for testing spontaneous social interactions of group-housed mice placed in an experimental apparatus comprising a plurality of compartments (101-104) bridged by corridors (105). At least one compartment (101-104) has a perforated partition wall (106,107) separating the compartment into a territory available for mice (106b, 107b) and a territory to be explored by olfaction (106a, 107a). In the territory available for mice (106b, 107b), above the partition wall (106, 107), there is an infrared laser curtain (201), wherein the system comprises a photographic device (202) for acquiring the intersection of a mouse in the light of the infrared curtain. In the territory to be explored by olfaction (106a, 107a), there is a source of olfactory stimuli (203).
1 citations
01 Jul 2016
1 citations
01 Jan 2016
1 citations
01 Jun 2016
01 Jun 2016
TL;DR: In this article, the VIPERS Team coauthors presented a set of experiments for the first time in the context of the International Journal of Astronomical Astronomical Data (IJAD).
Abstract: 1. Center for Theoretical Physics, Al. Lotnikow 32/46, 02-668 Warsaw, Poland; 2. National Center for Nuclear Research, ul. A. Soltana 7, 05-400 Otwock, Poland; 3. INAF Istituto di Astrofisica Spaziale e Fisica Cosmica Milano, via Bassini 15, 20133 Milano, Italy; 4. Astronomical Observatory of the Jagiellonian University, Orla 171, 30-001 Cracow, Poland; 5. The VIPERS Team coauthors are presented at the end of this proceedings
TL;DR: In this article, the convex set of quantum states of a composite system with positive partial transposition is analyzed and a version of the hit and run algorithm is used to generate a sequence of random points covering this set uniformly and an estimation for the convergence speed of the algorithm is derived.
Abstract: The convex set of quantum states of a composite $K \times K$ system with positive partial transpose is analysed. A version of the hit and run algorithm is used to generate a sequence of random points covering this set uniformly and an estimation for the convergence speed of the algorithm is derived. For $K\ge 3$ this algorithm works faster than sampling over the entire set of states and verifying whether the partial transpose is positive. The level density of the PPT states is shown to differ from the Marchenko-Pastur distribution, supported in [0,4] and corresponding asymptotically to the entire set of quantum states. Based on the shifted semi--circle law, describing asymptotic level density of partially transposed states, and on the level density for the Gaussian unitary ensemble with constraints for the spectrum we find an explicit form of the probability distribution supported in [0,3], which describes well the level density obtained numerically for PPT states.