Condensed Matter Theories, Volume 25 - Proceedings Of The 33rd International Workshop

Annotation The orientation and physical context of the CMT Series of Workshops have always been cross-disciplinary, but with an emphasis placed on the common concerns of theorists applying many-particle concepts in diverse areas of physics. In this spirit, CMT33 chose to focus special attention on exotic fermionic and bosonic systems, quantum magnets and their quantum and thermal phase transitions, novel condensed matter systems for renewable energy sources, the physics of nanosystems and nanotechnology, and applications of molecular dynamics and density functional theory Contents ......Page 18 Preface......Page 6 Organizing Committees......Page 8 Sponsors......Page 10 List of Participants......Page 12 Part A Fermi and Bose Fluids, Exotic Systems......Page 22 1.1. An experimentum crucis......Page 24 1.2. Effective static interactions......Page 25 2.1. Ground state theory......Page 26 2.2. Boson dynamics......Page 27 2.4. The cRPA......Page 28 3.1. Linear response theory......Page 29 3.2. Equations of motion......Page 30 4.1. Approximations......Page 31 4.2. He......Page 32 4.3. Electron layers......Page 33 Acknowledgments......Page 34 References......Page 35 Dissecting and Testing Collective and Topological Scenarios for the Quantum Critical Point J. W. Clark, V. A. Khodel and M. V. Zverev......Page 36 2. Competing Scenarios for the Quantum Critical Point......Page 37 3. The Original Quasiparticle Picture......Page 38 4. Fault Lines of the Conventional Collective Scenario......Page 40 5. Generic Features of the Topological Scenario......Page 42 6. Topological Quantum Critical Point in an Anisotropic System......Page 43 7. Confrontations of Theory with Experiment......Page 47 References......Page 48 1. Motivation......Page 50 2. Class of Onedimensional Adsorption Problems......Page 51 4. Class of 3D Problems......Page 53 5. Summary......Page 56 References......Page 57 1. Introduction......Page 58 3. Model Calculation......Page 60 4. Parallelization......Page 63 5. Cluster-Helium Interactions......Page 64 References......Page 69 1. Introduction......Page 70 2. Numerical Simulations of the Sound Propagation through the Resonance Media......Page 71 4. Acoustic Metamaterials made of the Matryoshka Resonators......Page 74 5. Media Made of the `Seashell' Resonators......Page 77 References......Page 79 1. Introduction......Page 81 2. Dynamic Corrections to Linear Response......Page 82 3. Dynamics of Density Fluctuations......Page 83 4. Dynamics in the Classical System......Page 84 5. Dynamic Effects in Quantum Systems......Page 86 6. Order Parameter for Quantum Glass......Page 93 7. Typical Results......Page 94 References......Page 95 1. Introduction......Page 96 2. MD Simulations of Finite Plas......Page 98 3. Two-time Correlation Functions......Page 100 4. Evaluation of the One-dimensional Bi-local Response Function......Page 101 5. Analysis of the Excitation Modes......Page 102 6. Dispersion Relations of Collective Modes in a Chain......Page 106 7. Size Effects of Mode Damping and Dynamical Collision Frequency......Page 110 8. Conclusion......Page 111 References......Page 112 1. Introduction......Page 114 2. CDM Building Blocks......Page 116 3. Renormalization of Normal Bosons and Fermions......Page 118 4. Numerical Results for Liquid He......Page 120 5. Renormalization of Boson Excitations in Condensed Bose-Einstein Phases......Page 123 6. Tisza's Two-Fluid Model......Page 125 References......Page 126 1. Introduction......Page 128 2.1. Single-particle spectral function and quasiparticles......Page 130 2.2. Medium modification of single nucleon properties......Page 133 2.3. Medium modification of cluster properties......Page 135 3. Contribution of the Continuum Correlations......Page 138 4. Matter......Page 140 5. Quantum Condensates......Page 141 6. Conclusion and Outlook......Page 142 References......Page 143 Part B Quantum Magnets, Quantum Dynamics and Phase Transitions......Page 146 1. Introduction......Page 148 2. The Model......Page 149 3. The Coupled Cluster Method Formalism......Page 151 4. Results and Discussion......Page 153 References......Page 162 1. Introduction......Page 164 2. Formalism......Page 165 4. The N = 2 Problem......Page 167 5. Other N values......Page 169 5.2. The "specific heat" C......Page 170 6. Conclusion......Page 172 References......Page 173 1. Introduction......Page 174 1.1. Metric on the semiquantum phase space and dynamical invariants......Page 176 2. Metric and Specific Heat Relationship......Page 177 3. The SU(2) Case......Page 178 4.1. The SH depends on the Initial Conditions......Page 182 4.2. The SH as a tool for defining the nature of "semiquantum chaos"......Page 183 5. Conclusion......Page 184 References......Page 186 Part C Physics of Nanosystems and Nanotechnology......Page 188 1. Introduction......Page 190 2. Low Density Gas in a Single Q1D Channel......Page 192 3. Many Interacting Particles in a Channel of Finite Width......Page 195 4. Real Transitions of Gases within Weakly Coupled Q1D Channels......Page 196 References......Page 197 1. Introduction......Page 199 2. The Model Hamiltonian......Page 200 3. Method of Calculation......Page 201 4. Results......Page 202 5. Summary and Outlook......Page 205 References......Page 206 1. Introduction......Page 207 2. The Method......Page 209 3.1. Conductance through rings......Page 210 3.2. Conductance through ladder rings......Page 212 4. Quantum Interference......Page 213 5. Conclusion......Page 215 References......Page 216 1. Introduction......Page 218 2. The Scenario......Page 219 3. The Model......Page 223 4. Resonant Pairing and Local Dynamical Lattice Instabilities......Page 224 5. Separation of Phase and Amplitude Variables......Page 226 Acknowledgments......Page 230 References......Page 231 1. Introduction......Page 232 2. Theory and Methodology......Page 235 3. Simulation and Results......Page 236 References......Page 242 Part D Quantum Information......Page 244 1. Two Qubit Phase-gates......Page 246 2. The Dipole-dipole Interaction between Trapped Neutral Atoms in a Moving Optical Lattice......Page 248 3. Quantum Engineering of Three-body Cold Atom Collisions in Optical Lattices......Page 251 References......Page 254 Part E Theory and Applications of Molecular Dynamics and Density Functional Theory......Page 256 1. Introduction......Page 258 2. The Ornstein-Zernike Equation for the Exchange-correlation Hole......Page 260 3. The Ornstein-Zernike Equation for Indistinguishable Particles......Page 261 4. Challenges in Numerical Implementation......Page 263 4.1. Short-range/Long-range decomposition......Page 264 4.2. Center-of-mass transformation of coordinates......Page 265 4.3. Greens theorem......Page 266 4.4. Eigenvector decomposition......Page 267 5. Summary......Page 268 References......Page 269 1. Introduction......Page 271 2.1. Structure......Page 272 2.2. Electronic distribution......Page 273 3.2. CO adsorption......Page 274 3.4. Theoretical studies......Page 275 4.1. Hydrocarbons......Page 276 4.2. NO reduction and CO oxidation......Page 277 4.4. Theoretical studies......Page 278 References......Page 279 1. Introduction......Page 282 2.2. Analytic solutions in terms of interparticle coordinates......Page 284 2.3. Generation of kinetic energy functionals through local-scaling transformations......Page 285 3. Constraint-based Kinetic Energy Functionals for Orbital-free Molecular Dynamics......Page 288 3.1. Behavior of GGA-type functionals near the nucleus......Page 289 3.2. Ways to remedy the singularity problem......Page 291 4. Conclusion......Page 292 References......Page 293 Numerical Analysis of Hydrogen Storage in Carbon Nanopores C. Wexler, R. Olsen, P. Pfeifer, B. Kuctha, L. Firlej and S. Roszak......Page 295 1. Introduction......Page 296 2. Experimental Background and Analysis......Page 297 3. Numerical Estimation of Hydrogen Storage......Page 298 4. Enhanced Hydrogen-Substrate Interaction in Boron Substituted Carbon......Page 301 References......Page 304 Part F Superconductivity......Page 306 1. Introduction......Page 308 2. Ternary Boson-fermion Gas Hamiltonian......Page 309 3. Reduced Hamiltonian and its Exact Diagonalization......Page 310 4. Thermodynamic Potential......Page 312 6. Three GBEC Equations......Page 313 7. Conclusion......Page 314 References......Page 315 1. Introduction......Page 317 2. Kohn Anomaly In A Normal Metal......Page 318 3. Kohn Anomaly In A Conventional Superconductor......Page 320 References......Page 322 1. Introduction......Page 324 2. Polariton Spectrum in the Presence of a Condensed Phase......Page 326 3. Field-Theoretical Description of the Extended Hubbard Model......Page 330 4. Spectrum of the Collective Excitations......Page 333 5. Spin Correlation Function in GRPA......Page 335 References......Page 336 1. Introduction......Page 337 2. The Derivation of Thermal Expansion of Ferromagnetic Superconductors and its Coefficient......Page 338 2.2. The superconducting gap of the up-spin conduction band with a line node......Page 340 3.1. The thermal expansion coefficient with the superconducting gaps in A2 phase of liquid He......Page 341 3.2. The thermal expansion with the superconducting gap of the up-spin conduction band with a line node and its coefficient......Page 343 References......Page 345 1. Introduction......Page 347 2. Gapped Resonant Cooper Pairs......Page 348 3. Two-time Green-function Approach......Page 350 4. Generalized Gap......Page 351 5. Results and Discussion......Page 353 Acknowledgments......Page 354 References......Page 355 1. Introduction......Page 356 2. The Basic Proximity Effect in S/F Heterostructures: Single Domain State......Page 357 2.1. The Fulde-Ferrel state......Page 358 2.2. Oscillations of the superconducting order parameter......Page 359 2.3. Oscillations of T......Page 360 3. Domain Wall Superconductivity (DWS) vs Stray Fields Effects (SFE)......Page 362 3.1. Previous experimental investigations that claimed DWS......Page 364 3.2. Experimental studies on stray field effect (SFE)......Page 366 4. Conclusion and Future Work......Page 370 References......Page 372 1. Introduction......Page 374 2. The Model......Page 375 3. Coupled Integral Equations......Page 377 4. Results......Page 379 5. Conclusion......Page 381 References......Page 383 Part G Statistical Mechanics, Relativistic Quantum Mechanics......Page 386 1. Introduction: A Perspective on the Issue......Page 388 3. Physical Approach......Page 391 4. Physical Theory......Page 392 6.1. Quantum spin chain......Page 393 6.2. Classical hard sphere chain......Page 394 7. Concluding Remarks......Page 395 Appendix A. Ensemble Averages in Ergodic Hypothesis......Page 396 References......Page 397 1. Introduction......Page 399 2. The Theory......Page 400 4. Discussion and Conclusion......Page 404 References......Page 405 Author Index......Page 408 Subject Index......Page 410 Pt. A. Fermi and Bose fluids, exotic systems. Reemergence of the collective mode in [symbol]He and electron layers / H.M. Bohm [und weitere]. Dissecting and testing collective and topological scenarios for the quantum critical point / J.W. Clark, V.A. Khodel and M.V. Zverev. Helium on nanopatterned surfaces at finite temperature / E.S. Hernandez [und weitere]. Towards DFT calculations of metal clusters in quantum fluid matrices / S.A. Chin [und weitere]. Acoustic band gap formation in metamaterials / D.P. Elford [und weitere]. Dissipative processes in low density strongly interacting 2D electron systems / D. Neilson. Dynamical spatially resolved response function of finite 1-D nano plasmas / T. Raitza, H. Reinholz and G. Ropke. Renormalized bosons and fermions / K.A. Gernoth and M.L. Ristig. Light clusters in nuclear matter / G. Ropke -- pt. B. Quantum magnets, quantum dynamics and phase transitions. Magnetic ordering of antiferromagnets on a spatially anisotropic triangular lattice / R.F. Bishop [und weitere]. Thermodynamic detection of quantum phase transitions / M.K.G. Kruse [und weitere]. The SU(2) semi quantum systems dynamics and thermodynamics / C.M. Sarris and A.N. Proto -- pt. C. Physics of nanosystems and nanotechnology. Quasi-one dimensional fluids that exhibit higher dimensional behavior / S.M. Gatica [und weitere]. Spectral properties of molecular oligomers. A non-Markovian quantum state diffusion approach / J. Roden, W.T. Strunz and A. Eisfeld. Quantum properties in transport through nanoscopic rings : Charge-spin separation and interference effects / K. Hallberg, J. Rincon and S. Ramasesha. Cooperative localization-delocalization in the high T[symbol] cuprates / J. Ranninger. Thermodynamically stable vortex states in superconducting nanowires / W.M. Wu, M.B. Sobnack and F.V. Kusmartsev Pt. D. Quantum information. Quantum information in optical lattices / A.M. Guzman and M.A. Duenas E. -- pt. E. Theory and applications of molecular dynamics and density functional theory. Exchange-correlation functionals from the identical-particle Ornstein-Zernike equation : Basic formulation and numerical algorithms / R. Cuevas-Saavedra and P.W. Ayers. Features and catalytic properties of RhCu : A review / S. Gonzalez, C. Sousa and F. Illas. Kinetic energy functionals : Exact ones from analytic model wave functions and approximate ones in orbital-free molecular dynamics / V.V. Karasiev [und weitere]. Numerical analysis of hydrogen storage in carbon nanopores / C. Wexler [und weitere] -- pt. F. Superconductivity. Generalized Bose-Einstein condensation in superconductivity / M. de Llano. Kohn anomaly energy in conventional superconductors equals twice the energy of the superconducting gap : How and why? / R. Chaudhury and M.P. Das. Collective excitations in superconductors and semiconductors in the presence of a condensed phase / Z. Koinov. Thermal expansion of ferromagnetic superconductors : Possible application to UGe[symbol] / N. Hatayama and R. Konno. Generalized superconducting gap in a Boson-Fermion model / T.A. Mamedov and M. de Llano. Influence of domain walls in the superconductor/ferromagnet proximity effect / E.J. Patino. Spin singlet and triplet superconductivity induced by correlated hopping interactions / L.A. Perez, J.S. Millan and C. Wang -- pt. G. Statistical mechanics, relativistic quantum mechanics. Boltzmann's ergodic hypothesis : A meeting place for two cultures / M.H. Lee. Electron-electron interaction in the non-relativistic limit / F.B. Malik The orientation and physical context of the CMT Series of Workshops have always been cross-disciplinary, but with an emphasis placed on the common concerns of theorists applying many-particle concepts in diverse areas of physics. In this spirit, CMT33 chose to focus special attention on exotic fermionic and bosonic systems, quantum magnets and their quantum and thermal phase transitions, novel condensed matter systems for renewable energy sources, the physics of nanosystems and nanotechnology, applications of molecular dynamics as well as density functional theory