TY - JOUR A1 - Cramer, Marcus A1 - Eisert, Jens T1 - A quantum central limit theorem for non-equilibrium systems : exact local relaxation of correlated states N2 - We prove that quantum many-body systems on a one-dimensional lattice locally relax to Gaussian states under non- equilibrium dynamics generated by a bosonic quadratic Hamiltonian. This is true for a large class of initial states-pure or mixed-which have to satisfy merely weak conditions concerning the decay of correlations. The considered setting is a proven instance of a situation where dynamically evolving closed quantum systems locally appear as if they had truly relaxed, to maximum entropy states for fixed second moments. This furthers the understanding of relaxation in suddenly quenched quantum many-body systems. The proof features a non-commutative central limit theorem for non-i.i.d. random variables, showing convergence to Gaussian characteristic functions, giving rise to trace-norm closeness. We briefly link our findings to the ideas of typicality and concentration of measure. Y1 - 2010 UR - http://iopscience.iop.org/1367-2630 U6 - https://doi.org/10.1088/1367-2630/12/5/055020 SN - 1367-2630 ER - TY - JOUR A1 - Cuzzi, Jeff N. A1 - Burns, Joseph A. A1 - Charnoz, Sébastien A1 - Clark, Roger N. A1 - Colwell, Josh E. A1 - Dones, Luke A1 - Esposito, Larry W. A1 - Filacchione, Gianrico A1 - French, Richard G. A1 - Hedman, Matthew M. A1 - Kempf, Sascha A1 - Marouf, Essam A. A1 - Murray, Carl D. A1 - Nicholson, Phillip D. A1 - Porco, Carolyn C. A1 - Schmidt, Jürgen A1 - Showalter, Mark R. A1 - Spilker, Linda J. A1 - Spitale, Joseph N. A1 - Srama, Ralf A1 - Sremcević, Miodrag A1 - Tiscareno, Matthew Steven A1 - Weiss, John T1 - An evolving view of Saturn's dynamic rings N2 - We review our understanding of Saturn's rings after nearly 6 years of observations by the Cassini spacecraft. Saturn's rings are composed mostly of water ice but also contain an undetermined reddish contaminant. The rings exhibit a range of structure across many spatial scales; some of this involves the interplay of the fluid nature and the self-gravity of innumerable orbiting centimeter- to meter-sized particles, and the effects of several peripheral and embedded moonlets, but much remains unexplained. A few aspects of ring structure change on time scales as short as days. It remains unclear whether the vigorous evolutionary processes to which the rings are subject imply a much younger age than that of the solar system. Processes on view at Saturn have parallels in circumstellar disks. Y1 - 2010 UR - http://www.sciencemag.org/ U6 - https://doi.org/10.1126/science.1179118 SN - 0036-8075 ER - TY - JOUR A1 - Eisert, Jens A1 - Plenio, Martin B. T1 - Focus on quantum information and many-body theory N2 - Quantum many-body models describing natural systems or materials and physical systems assembled piece by piece in the laboratory for the purpose of realizing quantum information processing share an important feature: intricate correlations that originate from the coherent interaction between a large number of constituents. In recent years it has become manifest that the cross-fertilization between research devoted to quantum information science and to quantum many- body physics leads to new ideas, methods, tools, and insights in both fields. Issues of criticality, quantum phase transitions, quantum order and magnetism that play a role in one field find relations to the classical simulation of quantum systems, to error correction and fault tolerance thresholds, to channel capacities and to topological quantum computation, to name but a few. The structural similarities of typical problems in both fields and the potential for pooling of ideas then become manifest. Notably, methods and ideas from quantum information have provided fresh approaches to long-standing problems in strongly correlated systems in the condensed matter context, including both numerical methods and conceptual insights. Y1 - 2010 UR - http://iopscience.iop.org/1367-2630 U6 - https://doi.org/10.1088/1367-2630/12/2/025001 SN - 1367-2630 ER - TY - JOUR A1 - de Beaudrap, Niel T1 - On restricted unitary Cayley graphs and symplectic transformations modulo n N2 - We present some observations on a restricted variant of unitary Cayley graphs modulo n, and implications for a decomposition of elements of symplectic operators over the integers modulo n. We define quadratic unitary Cayley graphs G(n), whose vertex set is the ring Z(n), and where residues a, b modulo n are adjacent if and only if their difference is a quadratic residue. By bounding the diameter of such graphs, we show an upper bound on the number of elementary operations (symplectic scalar multiplications, symplectic row swaps, and row additions or subtractions) required to decompose a symplectic matrix over Z(n). We also characterize the conditions on n for G(n) to be a perfect graph. Y1 - 2010 UR - http://www.emis.de/journals/EJC/index.html SN - 1077-8926 ER - TY - JOUR A1 - de Beaudrap, Niel T1 - Unitary-circuit semantics for measurement-based computations N2 - One-way measurement based quantum computations (1WQC) may describe unitary transformations, via a composition of CPTP maps which are not all unitary themselves. This motivates the following decision problems. Is it possible to determine whether a "quantum-to-quantum" 1WQC procedure (having non-trivial input and output subsystems) performs a unitary transformation? Is it possible to describe precisely how such computations transform quantum states, by translation to a quantum circuit of comparable complexity? In this article, we present an efficient algorithm for transforming certain families of measurement-based computations into a reasonable unitary circuit model, in particular without employing the principle of deferred measurement. Y1 - 2010 UR - http://ejournals.wspc.com.sg/ijqi/ijqi.shtml U6 - https://doi.org/10.1142/S0219749910006113 SN - 0219-7499 ER - TY - JOUR A1 - de Beaudrap, Niel A1 - Ohliger, Matthias A1 - Osborne, Tobias J. A1 - Eisert, Jens T1 - Solving frustration-free spin systems N2 - We identify a large class of quantum many-body systems that can be solved exactly: natural frustration-free spin-1/2 nearest-neighbor Hamiltonians on arbitrary lattices. We show that the entire ground-state manifold of such models can be found exactly by a tensor network of isometries acting on a space locally isomorphic to the symmetric subspace. Thus, for this wide class of models, real-space renormalization can be made exact. Our findings also imply that every such frustration-free spin model satisfies an area law for the entanglement entropy of the ground state, establishing a novel large class of models for which an area law is known. Finally, we show that our approach gives rise to an ansatz class useful for the simulation of almost frustration-free models in a simple fashion, outperforming mean- field theory. Y1 - 2010 UR - http://prl.aps.org/ U6 - https://doi.org/10.1103/Physrevlett.105.060504 SN - 0031-9007 ER - TY - JOUR A1 - de Beaudrap, Niel A1 - Osborne, Tobias J. A1 - Eisert, Jens T1 - Ground states of unfrustrated spin Hamiltonians satisfy an area law N2 - We show that ground states of unfrustrated quantum spin-1/2 systems on general lattices satisfy an entanglement area law, provided that the Hamiltonian can be decomposed into nearest-neighbor interaction terms that have entangled excited states. The ground state manifold can be efficiently described as the image of a low-dimensional subspace of low Schmidt measure, under an efficiently contractible tree-tensor network. This structure gives rise to the possibility of efficiently simulating the complete ground space (which is in general degenerate). We briefly discuss 'non- generic' cases, including highly degenerate interactions with product eigenbases, using a relationship to percolation theory. We finally assess the possibility of using such tree tensor networks to simulate almost frustration- free spin models. Y1 - 2010 UR - http://iopscience.iop.org/1367-2630 U6 - https://doi.org/10.1088/1367-2630/12/9/095007 SN - 1367-2630 ER - TY - JOUR A1 - Mikelskis, Helmut F. T1 - Physics schoolbooks - their history and future Y1 - 2010 SN - 978-3-8309-2018-2 ER - TY - THES A1 - Neumeyer, Steffen T1 - Entwicklung und Evaluation eines Lernortes Praktikum für die Schule Y1 - 2010 CY - Potsdam ER - TY - THES A1 - Tambornino, Johannes T1 - An analysis of the low energy regime of loop quantum gravity Y1 - 2010 CY - Potsdam ER - TY - THES A1 - Lara, Lucía Santamaría T1 - Coalescence of black-hole binaries : from theoretical source models to applications in gravitational-wave astronomy Y1 - 2010 CY - Potsdam ER - TY - THES A1 - Krobath, Heinrich T1 - Binding cooperativity and domain energies of membrane adhesion receptors Y1 - 2010 CY - Potsdam ER - TY - JOUR A1 - Blakesley, James C. A1 - Clubb, Helen S. A1 - Greenham, Neil C. T1 - Temperature-dependent electron and hole transport in disordered semiconducting polymers : analysis of energetic disorder N2 - We have used space-charge limited current measurements to study the mobility of holes and electrons in two fluorene-based copolymers for temperatures from 100 to 300 K. Interpreting the results using the standard analytical model produced an Arrhenius-type temperature dependence for a limited temperature range only and mobility was found to be apparently dependent on the thickness of the polymer film. To improve on this, we have interpreted our data using a numerical model that takes into account the effects of the carrier concentration and energetic disorder on transport. This accounted for the thickness dependence and gave a more consistent temperature dependence across the full range of temperatures, giving support to the extended Gaussian disorder model for transport in disordered polymers. Furthermore, we find that the same model adequately describes both electron and hole transport without the need to explicitly include a distribution of electron traps. Room-temperature mobilities were found to be in the region of 4 x 10(-8) and 2 x 10(- 8) cm(2) V-1 s(-1) in the limit of zero field and zero carrier density with disorders of 110+/-10 and 100+/-10 meV for polymers poly{9,9-dioctylfluorene-co-bis[N,N'-(4-butylphenyl)]bis(N, N'-phenyl-1,4-phenylene)diamine} and poly(9,9-dioctylfluorene-co-benzothiadiazole), respectively. Y1 - 2010 UR - http://prb.aps.org/ U6 - https://doi.org/10.1103/Physrevb.81.045210 SN - 1098-0121 ER - TY - JOUR A1 - Boedeker, Hendrik Ulrich A1 - Beta, Carsten A1 - Frank, Till D. A1 - Bodenschatz, Eberhard T1 - Quantitative analysis of random ameboid motion N2 - We quantify random migration of the social ameba Dictyostelium discoideum. We demonstrate that the statistics of cell motion can be described by an underlying Langevin-type stochastic differential equation. An analytic expression for the velocity distribution function is derived. The separation into deterministic and stochastic parts of the movement shows that the cells undergo a damped motion with multiplicative noise. Both contributions to the dynamics display a distinct response to external physiological stimuli. The deterministic component depends on the developmental state and ambient levels of signaling substances, while the stochastic part does not. Y1 - 2010 UR - http://iopscience.iop.org/0295-5075/ U6 - https://doi.org/10.1209/0295-5075/90/28005 SN - 0295-5075 ER - TY - JOUR A1 - Bordyugov, Grigory A1 - Fischer, Nils A1 - Engel, Harald A1 - Manz, Niklas A1 - Steinbock, Oliver T1 - Anomalous dispersion in the Belousov-Zhabotinsky reaction : experiments and modeling N2 - We report results on dispersion relations and instabilities of traveling waves in excitable systems. Experiments employ solutions of the 1,4-cyclohexanedione Belousov-Zhabotinsky reaction confined to thin capillary tubes which create a pseudo-one-dimensional system. Theoretical analyses focus on a three-variable reaction-diffusion model that is known to reproduce qualitatively many of the experimentally observed dynamics. Using continuation methods, we show that the transition from normal, monotonic to anomalous, single-overshoot dispersion curves is due to an orbit flip bifurcation of the solitary pulse homoclinics. In the case of "wave stacking", this anomaly induces attractive pulse interaction, slow solitary pulses, and faster wave trains. For "wave merging", wave trains break up in the wake of the slow solitary pulse due to an instability of wave trains at small wavelength. A third case, "wave tracking" is characterized by the non-existence of solitary waves but existence of periodic wave trains. The corresponding dispersion curve is a closed curve covering a finite band of wavelengths. Y1 - 2010 UR - http://www.sciencedirect.com/science/journal/01672789 U6 - https://doi.org/10.1016/j.physd.2009.10.022 SN - 0167-2789 ER - TY - JOUR A1 - Balaž, Antun A1 - Vidanovic, Ivana A1 - Bogojević, Aleksandar A1 - Pelster, Axel T1 - Ultra-fast converging path-integral approach for rotating ideal Bose-Einstein condensates N2 - A recently developed efficient recursive approach for analytically calculating the short-time evolution of the one-particle propagator to extremely high orders is applied here for numerically studying the thermodynamical and dynamical properties of a rotating ideal Bose gas of Rb-87 atoms in an anharmonic trap. At first, the one-particle energy spectrum of the system is obtained by diagonalizing the discretized short-time propagator. Using this, many-boson properties such as the condensation temperature, the ground-state occupancy, density profiles, and time-of-flight absorption pictures are calculated for varying rotation frequencies. The obtained results improve previous semiclassical calculations, in particular for smaller particle numbers. Furthermore, we find that typical time scales for a free expansion are increased by an order of magnitude for the delicate regime of both critical and overcritical rotation. Y1 - 2010 UR - http://www.sciencedirect.com/science/journal/03759601 U6 - https://doi.org/10.1016/j.physleta.2010.01.034 SN - 0375-9601 ER - TY - JOUR A1 - Barthel, Thomas A1 - Kliesch, Martin A1 - Eisert, Jens T1 - Real-space renormalization yields finite correlations N2 - Real-space renormalization approaches for quantum lattice systems generate certain hierarchical classes of states that are subsumed by the multiscale entanglement renormalization Ansatz (MERA). It is shown that, with the exception of one spatial dimension, MERA states are actually states with finite correlations, i.e., projected entangled pair states (PEPS) with a bond dimension independent of the system size. Hence, real-space renormalization generates states which can be encoded with local effective degrees of freedom, and MERA states form an efficiently contractible class of PEPS that obey the area law for the entanglement entropy. It is further pointed out that there exist other efficiently contractible schemes violating the area law. Y1 - 2010 UR - http://prl.aps.org/ U6 - https://doi.org/10.1103/Physrevlett.105.010502 SN - 0031-9007 ER - TY - JOUR A1 - Winter, Silvia Maria Giuliatti A1 - Winter, Othon Cabo A1 - Fernandes Guimarães, Ana Helena A1 - Silva, Maria Rita T1 - Exploring S-type orbits in the Pluto-Charon binary system N2 - This work generates, through a sample of numerical simulations of the restricted three-body problem, diagrams of semimajor axis and eccentricity which defines stable and unstable zones for particles in S-type orbits around Pluto and Charon. Since we consider initial conditions with 0 <= e <= 0.99, we found several new stable regions. We also identified the nature of each one of these newly found stable regions. They are all associated to families of periodic orbits derived from the planar circular restricted three-body problem. We have shown that a possible eccentricity of the Pluto-Charon system slightly reduces, but does not destroy, any of the stable regions. Y1 - 2010 UR - http://www3.interscience.wiley.com/cgi-bin/issn?DESCRIPTOR=PRINTISSN&VALUE=0035-8711 U6 - https://doi.org/10.1111/j.1365-2966.2010.16302.x SN - 0035-8711 ER - TY - JOUR A1 - Wu, Ye Wu A1 - Zhou, Changsong A1 - Xiao, Jinghua A1 - Kurths, Jürgen A1 - Schellnhuber, Hans Joachim T1 - Evidence for a bimodal distribution in human communication N2 - Interacting human activities underlie the patterns of many social, technological, and economic phenomena. Here we present clear empirical evidence from Short Message correspondence that observed human actions are the result of the interplay of three basic ingredients: Poisson initiation of tasks and decision making for task execution in individual humans as well as interaction among individuals. This interplay leads to new types of interevent time distribution, neither completely Poisson nor power-law, but a bimodal combination of them. We show that the events can be separated into independent bursts which are generated by frequent mutual interactions in short times following random initiations of communications in longer times by the individuals. We introduce a minimal model of two interacting priority queues incorporating the three basic ingredients which fits well the distributions using the parameters extracted from the empirical data. The model can also embrace a range of realistic social interacting systems such as e-mail and letter communications when taking the time scale of processing into account. Our findings provide insight into various human activities both at the individual and network level. Our analysis and modeling of bimodal activity in human communication from the viewpoint of the interplay between processes of different time scales is likely to shed light on bimodal phenomena in other complex systems, such as interevent times in earthquakes, rainfall, forest fire, and economic systems, etc. Y1 - 2010 UR - http://www.sciencedirect.com/science/journal/03784371 U6 - https://doi.org/10.1073/pnas.1013140107 SN - 0027-8424 ER - TY - JOUR A1 - Zakharova, Anna A1 - Vadivasova, Tatjana A1 - Anishchenko, Vadim S. A1 - Koseska, Aneta A1 - Kurths, Jürgen T1 - Stochastic bifurcations and coherencelike resonance in a self-sustained bistable noisy oscillator N2 - We investigate the influence of additive Gaussian white noise on two different bistable self-sustained oscillators: Duffing-Van der Pol oscillator with hard excitation and a model of a synthetic genetic oscillator. In the deterministic case, both oscillators are characterized with a coexistence of a stable limit cycle and a stable equilibrium state. We find that under the influence of noise, their dynamics can be well characterized through the concept of stochastic bifurcation, consisting in a qualitative change of the stationary amplitude distribution. For the Duffing-Van der Pol oscillator analytical results, obtained for a quasiharmonic approach, are compared with the result of direct computer simulations. In particular, we show that the dynamics is different for isochronous and anisochronous systems. Moreover, we find that the increase of noise intensity in the isochronous regime leads to a narrowing of the spectral line. This effect is similar to coherence resonance. However, in the case of anisochronous systems, this effect breaks down and a new phenomenon, anisochronous-based stochastic bifurcation occurs. Y1 - 2010 UR - http://pre.aps.org/ U6 - https://doi.org/10.1103/Physreve.81.011106 SN - 1539-3755 ER -